%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN466+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 13:53:09 EDT 2022 % Result : Theorem 0.93s 1.15s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN466+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n007.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 18:38:48 EDT 2022 % 0.12/0.33 % CPUTime : % 0.93/1.15 (* PROOF-FOUND *) % 0.93/1.15 % SZS status Theorem % 0.93/1.15 (* BEGIN-PROOF *) % 0.93/1.15 % SZS output start Proof % 0.93/1.15 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a101))/\((c3_1 (a101))/\(~(c0_1 (a101)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a102))/\((~(c0_1 (a102)))/\(~(c1_1 (a102)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a103))/\((c1_1 (a103))/\(~(c3_1 (a103)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a104))/\((c2_1 (a104))/\(~(c1_1 (a104)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a105))/\((c3_1 (a105))/\(~(c1_1 (a105)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a106))/\((c1_1 (a106))/\(~(c2_1 (a106)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a107))/\((c2_1 (a107))/\(~(c0_1 (a107)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a108))/\((c3_1 (a108))/\(~(c0_1 (a108)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a110))/\((~(c1_1 (a110)))/\(~(c3_1 (a110)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a153)))/\((~(c1_1 (a153)))/\(~(c3_1 (a153)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))))/\(((~(hskp27))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c3_1 (a196)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))))/\(((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_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)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((hskp6)\/(hskp7)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((hskp8)\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(hskp6)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c2_1 X43))))))\/((hskp2)\/(hskp7)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(hskp16)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp7)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp15)\/(hskp28)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp23)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/((hskp19)\/(hskp8)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp29)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp6)\/(hskp16)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp1)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/((hskp25)\/(hskp0)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/((hskp13)\/(hskp4)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11)))/\(((forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp25)\/(hskp0)))/\(((hskp31)\/((hskp30)\/(hskp24)))/\(((hskp5)\/((hskp15)\/(hskp13)))/\(((hskp5)\/((hskp16)\/(hskp25)))/\(((hskp5)\/((hskp4)\/(hskp9)))/\(((hskp26)\/((hskp7)\/(hskp0)))/\(((hskp26)\/((hskp11)\/(hskp4)))/\(((hskp25)\/(hskp8))/\((hskp25)\/((hskp27)\/(hskp24))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.93/1.15 Proof. % 0.93/1.15 assert (zenon_L1_ : (~(hskp5)) -> (hskp5) -> False). % 0.93/1.15 do 0 intro. intros zenon_H1 zenon_H2. % 0.93/1.15 exact (zenon_H1 zenon_H2). % 0.93/1.15 (* end of lemma zenon_L1_ *) % 0.93/1.15 assert (zenon_L2_ : (~(hskp4)) -> (hskp4) -> False). % 0.93/1.15 do 0 intro. intros zenon_H3 zenon_H4. % 0.93/1.15 exact (zenon_H3 zenon_H4). % 0.93/1.15 (* end of lemma zenon_L2_ *) % 0.93/1.15 assert (zenon_L3_ : (~(hskp9)) -> (hskp9) -> False). % 0.93/1.15 do 0 intro. intros zenon_H5 zenon_H6. % 0.93/1.15 exact (zenon_H5 zenon_H6). % 0.93/1.15 (* end of lemma zenon_L3_ *) % 0.93/1.15 assert (zenon_L4_ : ((hskp5)\/((hskp4)\/(hskp9))) -> (~(hskp5)) -> (~(hskp4)) -> (~(hskp9)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.93/1.15 exact (zenon_H1 zenon_H2). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.93/1.15 exact (zenon_H3 zenon_H4). % 0.93/1.15 exact (zenon_H5 zenon_H6). % 0.93/1.15 (* end of lemma zenon_L4_ *) % 0.93/1.15 assert (zenon_L5_ : (~(hskp15)) -> (hskp15) -> False). % 0.93/1.15 do 0 intro. intros zenon_H9 zenon_Ha. % 0.93/1.15 exact (zenon_H9 zenon_Ha). % 0.93/1.15 (* end of lemma zenon_L5_ *) % 0.93/1.15 assert (zenon_L6_ : (~(hskp13)) -> (hskp13) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hb zenon_Hc. % 0.93/1.15 exact (zenon_Hb zenon_Hc). % 0.93/1.15 (* end of lemma zenon_L6_ *) % 0.93/1.15 assert (zenon_L7_ : ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> (~(hskp15)) -> (~(hskp13)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd zenon_H1 zenon_H9 zenon_Hb. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_H2 | zenon_intro zenon_He ]. % 0.93/1.15 exact (zenon_H1 zenon_H2). % 0.93/1.15 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_Ha | zenon_intro zenon_Hc ]. % 0.93/1.15 exact (zenon_H9 zenon_Ha). % 0.93/1.15 exact (zenon_Hb zenon_Hc). % 0.93/1.15 (* end of lemma zenon_L7_ *) % 0.93/1.15 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hf zenon_H10. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 (* end of lemma zenon_L8_ *) % 0.93/1.15 assert (zenon_L9_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H11 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 0.93/1.15 generalize (zenon_H11 (a117)). zenon_intro zenon_H15. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_Hf | zenon_intro zenon_H16 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.93/1.15 exact (zenon_H12 zenon_H18). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.93/1.15 exact (zenon_H1a zenon_H13). % 0.93/1.15 exact (zenon_H19 zenon_H14). % 0.93/1.15 (* end of lemma zenon_L9_ *) % 0.93/1.15 assert (zenon_L10_ : (~(hskp10)) -> (hskp10) -> False). % 0.93/1.15 do 0 intro. intros zenon_H1b zenon_H1c. % 0.93/1.15 exact (zenon_H1b zenon_H1c). % 0.93/1.15 (* end of lemma zenon_L10_ *) % 0.93/1.15 assert (zenon_L11_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp4)) -> (~(hskp10)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H1d zenon_H1e zenon_H3 zenon_H1b. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H11 | zenon_intro zenon_H21 ]. % 0.93/1.15 apply (zenon_L9_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H4 | zenon_intro zenon_H1c ]. % 0.93/1.15 exact (zenon_H3 zenon_H4). % 0.93/1.15 exact (zenon_H1b zenon_H1c). % 0.93/1.15 (* end of lemma zenon_L11_ *) % 0.93/1.15 assert (zenon_L12_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H22 zenon_H1e zenon_H1b zenon_H3 zenon_H1 zenon_Hb zenon_Hd. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.15 apply (zenon_L7_); trivial. % 0.93/1.15 apply (zenon_L11_); trivial. % 0.93/1.15 (* end of lemma zenon_L12_ *) % 0.93/1.15 assert (zenon_L13_ : (forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H23 zenon_H10 zenon_H24 zenon_H25 zenon_H26. % 0.93/1.15 generalize (zenon_H23 (a110)). zenon_intro zenon_H27. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_Hf | zenon_intro zenon_H28 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.93/1.15 exact (zenon_H24 zenon_H2a). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.93/1.15 exact (zenon_H25 zenon_H2c). % 0.93/1.15 exact (zenon_H2b zenon_H26). % 0.93/1.15 (* end of lemma zenon_L13_ *) % 0.93/1.15 assert (zenon_L14_ : (~(hskp19)) -> (hskp19) -> False). % 0.93/1.15 do 0 intro. intros zenon_H2d zenon_H2e. % 0.93/1.15 exact (zenon_H2d zenon_H2e). % 0.93/1.15 (* end of lemma zenon_L14_ *) % 0.93/1.15 assert (zenon_L15_ : (~(hskp17)) -> (hskp17) -> False). % 0.93/1.15 do 0 intro. intros zenon_H2f zenon_H30. % 0.93/1.15 exact (zenon_H2f zenon_H30). % 0.93/1.15 (* end of lemma zenon_L15_ *) % 0.93/1.15 assert (zenon_L16_ : ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp17)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_H2d zenon_H2f. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H23 | zenon_intro zenon_H32 ]. % 0.93/1.15 apply (zenon_L13_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ]. % 0.93/1.15 exact (zenon_H2d zenon_H2e). % 0.93/1.15 exact (zenon_H2f zenon_H30). % 0.93/1.15 (* end of lemma zenon_L16_ *) % 0.93/1.15 assert (zenon_L17_ : (~(hskp8)) -> (hskp8) -> False). % 0.93/1.15 do 0 intro. intros zenon_H33 zenon_H34. % 0.93/1.15 exact (zenon_H33 zenon_H34). % 0.93/1.15 (* end of lemma zenon_L17_ *) % 0.93/1.15 assert (zenon_L18_ : ((hskp25)\/(hskp8)) -> (~(hskp8)) -> (~(hskp25)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H35 zenon_H33 zenon_H36. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H34 ]. % 0.93/1.15 exact (zenon_H36 zenon_H37). % 0.93/1.15 exact (zenon_H33 zenon_H34). % 0.93/1.15 (* end of lemma zenon_L18_ *) % 0.93/1.15 assert (zenon_L19_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H38 zenon_H10 zenon_H39 zenon_H3a zenon_H3b zenon_H3c. % 0.93/1.15 generalize (zenon_H38 (a167)). zenon_intro zenon_H3d. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_Hf | zenon_intro zenon_H3e ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.93/1.15 exact (zenon_H39 zenon_H40). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.93/1.15 generalize (zenon_H3a (a167)). zenon_intro zenon_H43. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_Hf | zenon_intro zenon_H44 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H45 ]. % 0.93/1.15 exact (zenon_H39 zenon_H40). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.93/1.15 exact (zenon_H3b zenon_H47). % 0.93/1.15 exact (zenon_H46 zenon_H42). % 0.93/1.15 exact (zenon_H41 zenon_H3c). % 0.93/1.15 (* end of lemma zenon_L19_ *) % 0.93/1.15 assert (zenon_L20_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H48 zenon_H10 zenon_H49 zenon_H4a zenon_H4b. % 0.93/1.15 generalize (zenon_H48 (a135)). zenon_intro zenon_H4c. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_Hf | zenon_intro zenon_H4d ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.93/1.15 exact (zenon_H49 zenon_H4f). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.93/1.15 exact (zenon_H4a zenon_H51). % 0.93/1.15 exact (zenon_H50 zenon_H4b). % 0.93/1.15 (* end of lemma zenon_L20_ *) % 0.93/1.15 assert (zenon_L21_ : (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H52 zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 0.93/1.15 generalize (zenon_H52 (a114)). zenon_intro zenon_H56. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_Hf | zenon_intro zenon_H57 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.93/1.15 exact (zenon_H53 zenon_H59). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.93/1.15 exact (zenon_H5b zenon_H54). % 0.93/1.15 exact (zenon_H5a zenon_H55). % 0.93/1.15 (* end of lemma zenon_L21_ *) % 0.93/1.15 assert (zenon_L22_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H5c zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H4a zenon_H49 zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 0.93/1.15 apply (zenon_L19_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 0.93/1.15 apply (zenon_L20_); trivial. % 0.93/1.15 apply (zenon_L21_); trivial. % 0.93/1.15 (* end of lemma zenon_L22_ *) % 0.93/1.15 assert (zenon_L23_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H5e zenon_H10 zenon_H24 zenon_H5f zenon_H25 zenon_H26. % 0.93/1.15 generalize (zenon_H5e (a110)). zenon_intro zenon_H60. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_Hf | zenon_intro zenon_H61 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2a | zenon_intro zenon_H62 ]. % 0.93/1.15 exact (zenon_H24 zenon_H2a). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H63 | zenon_intro zenon_H2b ]. % 0.93/1.15 generalize (zenon_H5f (a110)). zenon_intro zenon_H64. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H64); [ zenon_intro zenon_Hf | zenon_intro zenon_H65 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.93/1.15 exact (zenon_H63 zenon_H67). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.93/1.15 exact (zenon_H24 zenon_H2a). % 0.93/1.15 exact (zenon_H25 zenon_H2c). % 0.93/1.15 exact (zenon_H2b zenon_H26). % 0.93/1.15 (* end of lemma zenon_L23_ *) % 0.93/1.15 assert (zenon_L24_ : (~(hskp14)) -> (hskp14) -> False). % 0.93/1.15 do 0 intro. intros zenon_H68 zenon_H69. % 0.93/1.15 exact (zenon_H68 zenon_H69). % 0.93/1.15 (* end of lemma zenon_L24_ *) % 0.93/1.15 assert (zenon_L25_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6a zenon_H55 zenon_H54 zenon_H53 zenon_H49 zenon_H4a zenon_H4b zenon_H39 zenon_H3b zenon_H3c zenon_H5c zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_H10 zenon_H68. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 0.93/1.15 apply (zenon_L22_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 0.93/1.15 apply (zenon_L23_); trivial. % 0.93/1.15 exact (zenon_H68 zenon_H69). % 0.93/1.15 (* end of lemma zenon_L25_ *) % 0.93/1.15 assert (zenon_L26_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6c zenon_H6d zenon_H6e zenon_H1 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H24 zenon_H25 zenon_H26 zenon_H68 zenon_H6a zenon_H33 zenon_H35. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 0.93/1.15 apply (zenon_L18_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 0.93/1.15 apply (zenon_L25_); trivial. % 0.93/1.15 exact (zenon_H1 zenon_H2). % 0.93/1.15 (* end of lemma zenon_L26_ *) % 0.93/1.15 assert (zenon_L27_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H74 zenon_H6d zenon_H6e zenon_H1 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H2f zenon_H31. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.15 apply (zenon_L16_); trivial. % 0.93/1.15 apply (zenon_L26_); trivial. % 0.93/1.15 (* end of lemma zenon_L27_ *) % 0.93/1.15 assert (zenon_L28_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H75 zenon_H10 zenon_H76 zenon_H77 zenon_H78. % 0.93/1.15 generalize (zenon_H75 (a132)). zenon_intro zenon_H79. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 0.93/1.15 exact (zenon_H76 zenon_H7c). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.93/1.15 exact (zenon_H77 zenon_H7e). % 0.93/1.15 exact (zenon_H7d zenon_H78). % 0.93/1.15 (* end of lemma zenon_L28_ *) % 0.93/1.15 assert (zenon_L29_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c0_1 (a114)) -> (c2_1 (a114)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H7f zenon_H10 zenon_H53 zenon_H80 zenon_H55. % 0.93/1.15 generalize (zenon_H7f (a114)). zenon_intro zenon_H81. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_Hf | zenon_intro zenon_H82 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H59 | zenon_intro zenon_H83 ]. % 0.93/1.15 exact (zenon_H53 zenon_H59). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H84 | zenon_intro zenon_H5a ]. % 0.93/1.15 exact (zenon_H84 zenon_H80). % 0.93/1.15 exact (zenon_H5a zenon_H55). % 0.93/1.15 (* end of lemma zenon_L29_ *) % 0.93/1.15 assert (zenon_L30_ : (~(hskp0)) -> (hskp0) -> False). % 0.93/1.15 do 0 intro. intros zenon_H85 zenon_H86. % 0.93/1.15 exact (zenon_H85 zenon_H86). % 0.93/1.15 (* end of lemma zenon_L30_ *) % 0.93/1.15 assert (zenon_L31_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H87 zenon_H55 zenon_H53 zenon_H7f zenon_H10 zenon_H9 zenon_H85. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ]. % 0.93/1.15 generalize (zenon_H89 (a114)). zenon_intro zenon_H8a. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_Hf | zenon_intro zenon_H8b ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H80 | zenon_intro zenon_H8c ]. % 0.93/1.15 apply (zenon_L29_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ]. % 0.93/1.15 exact (zenon_H53 zenon_H59). % 0.93/1.15 exact (zenon_H5a zenon_H55). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_Ha | zenon_intro zenon_H86 ]. % 0.93/1.15 exact (zenon_H9 zenon_Ha). % 0.93/1.15 exact (zenon_H85 zenon_H86). % 0.93/1.15 (* end of lemma zenon_L31_ *) % 0.93/1.15 assert (zenon_L32_ : (~(hskp12)) -> (hskp12) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8d zenon_H8e. % 0.93/1.15 exact (zenon_H8d zenon_H8e). % 0.93/1.15 (* end of lemma zenon_L32_ *) % 0.93/1.15 assert (zenon_L33_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> (~(hskp15)) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp12)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8f zenon_H90 zenon_H85 zenon_H9 zenon_H53 zenon_H55 zenon_H87 zenon_H8d. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 0.93/1.15 apply (zenon_L31_); trivial. % 0.93/1.15 exact (zenon_H8d zenon_H8e). % 0.93/1.15 (* end of lemma zenon_L33_ *) % 0.93/1.15 assert (zenon_L34_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H94 zenon_H90 zenon_H8d zenon_H9 zenon_H85 zenon_H87 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H1 zenon_H6e zenon_H6d zenon_H74. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L27_); trivial. % 0.93/1.15 apply (zenon_L33_); trivial. % 0.93/1.15 (* end of lemma zenon_L34_ *) % 0.93/1.15 assert (zenon_L35_ : (~(hskp28)) -> (hskp28) -> False). % 0.93/1.15 do 0 intro. intros zenon_H95 zenon_H96. % 0.93/1.15 exact (zenon_H95 zenon_H96). % 0.93/1.15 (* end of lemma zenon_L35_ *) % 0.93/1.15 assert (zenon_L36_ : (~(hskp11)) -> (hskp11) -> False). % 0.93/1.15 do 0 intro. intros zenon_H97 zenon_H98. % 0.93/1.15 exact (zenon_H97 zenon_H98). % 0.93/1.15 (* end of lemma zenon_L36_ *) % 0.93/1.15 assert (zenon_L37_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp11)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H99 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H95 zenon_H97. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H11 | zenon_intro zenon_H9a ]. % 0.93/1.15 apply (zenon_L9_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H96 | zenon_intro zenon_H98 ]. % 0.93/1.15 exact (zenon_H95 zenon_H96). % 0.93/1.15 exact (zenon_H97 zenon_H98). % 0.93/1.15 (* end of lemma zenon_L37_ *) % 0.93/1.15 assert (zenon_L38_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a117)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H9b zenon_H10 zenon_H13 zenon_H9c zenon_H12 zenon_H14. % 0.93/1.15 generalize (zenon_H9b (a117)). zenon_intro zenon_H9d. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_Hf | zenon_intro zenon_H9e ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H1a | zenon_intro zenon_H9f ]. % 0.93/1.15 exact (zenon_H1a zenon_H13). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H19 ]. % 0.93/1.15 generalize (zenon_H9c (a117)). zenon_intro zenon_Ha1. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Ha1); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha2 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H18 | zenon_intro zenon_Ha3 ]. % 0.93/1.15 exact (zenon_H12 zenon_H18). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H1a ]. % 0.93/1.15 exact (zenon_Ha0 zenon_Ha4). % 0.93/1.15 exact (zenon_H1a zenon_H13). % 0.93/1.15 exact (zenon_H19 zenon_H14). % 0.93/1.15 (* end of lemma zenon_L38_ *) % 0.93/1.15 assert (zenon_L39_ : (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Ha5 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.93/1.15 generalize (zenon_Ha5 (a118)). zenon_intro zenon_Ha9. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_Hf | zenon_intro zenon_Haa ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.93/1.15 exact (zenon_Hac zenon_Ha6). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 0.93/1.15 exact (zenon_Hae zenon_Ha7). % 0.93/1.15 exact (zenon_Had zenon_Ha8). % 0.93/1.15 (* end of lemma zenon_L39_ *) % 0.93/1.15 assert (zenon_L40_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (c0_1 (a117)) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H14 zenon_H12 zenon_H9c zenon_H13 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 0.93/1.15 apply (zenon_L38_); trivial. % 0.93/1.15 apply (zenon_L39_); trivial. % 0.93/1.15 (* end of lemma zenon_L40_ *) % 0.93/1.15 assert (zenon_L41_ : (~(hskp30)) -> (hskp30) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hb1 zenon_Hb2. % 0.93/1.15 exact (zenon_Hb1 zenon_Hb2). % 0.93/1.15 (* end of lemma zenon_L41_ *) % 0.93/1.15 assert (zenon_L42_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a131)) -> (c2_1 (a131)) -> (c3_1 (a131)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H9b zenon_H10 zenon_Hb3 zenon_Hb4 zenon_Hb5. % 0.93/1.15 generalize (zenon_H9b (a131)). zenon_intro zenon_Hb6. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_Hf | zenon_intro zenon_Hb7 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.93/1.15 exact (zenon_Hb9 zenon_Hb3). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.93/1.15 exact (zenon_Hbb zenon_Hb4). % 0.93/1.15 exact (zenon_Hba zenon_Hb5). % 0.93/1.15 (* end of lemma zenon_L42_ *) % 0.93/1.15 assert (zenon_L43_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbc zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 0.93/1.15 apply (zenon_L42_); trivial. % 0.93/1.15 apply (zenon_L39_); trivial. % 0.93/1.15 (* end of lemma zenon_L43_ *) % 0.93/1.15 assert (zenon_L44_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8f zenon_Hbf zenon_Hc0 zenon_Haf zenon_H24 zenon_H25 zenon_H26 zenon_Hc1 zenon_H12 zenon_H13 zenon_H14 zenon_H97 zenon_H99. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.15 apply (zenon_L37_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H9c | zenon_intro zenon_Hc5 ]. % 0.93/1.15 apply (zenon_L40_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H23 | zenon_intro zenon_Hb2 ]. % 0.93/1.15 apply (zenon_L13_); trivial. % 0.93/1.15 exact (zenon_Hb1 zenon_Hb2). % 0.93/1.15 apply (zenon_L43_); trivial. % 0.93/1.15 (* end of lemma zenon_L44_ *) % 0.93/1.15 assert (zenon_L45_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H7f zenon_H10 zenon_Hc6 zenon_Hc7 zenon_Hc8. % 0.93/1.15 generalize (zenon_H7f (a116)). zenon_intro zenon_Hc9. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_Hf | zenon_intro zenon_Hca ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.93/1.15 exact (zenon_Hc6 zenon_Hcc). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.93/1.15 exact (zenon_Hce zenon_Hc7). % 0.93/1.15 exact (zenon_Hcd zenon_Hc8). % 0.93/1.15 (* end of lemma zenon_L45_ *) % 0.93/1.15 assert (zenon_L46_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hcf zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H2f. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 0.93/1.15 apply (zenon_L23_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 0.93/1.15 apply (zenon_L45_); trivial. % 0.93/1.15 exact (zenon_H2f zenon_H30). % 0.93/1.15 (* end of lemma zenon_L46_ *) % 0.93/1.15 assert (zenon_L47_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6)))))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H5e zenon_H10 zenon_H24 zenon_H89 zenon_H25 zenon_H26. % 0.93/1.15 generalize (zenon_H5e (a110)). zenon_intro zenon_H60. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_Hf | zenon_intro zenon_H61 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2a | zenon_intro zenon_H62 ]. % 0.93/1.15 exact (zenon_H24 zenon_H2a). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H63 | zenon_intro zenon_H2b ]. % 0.93/1.15 generalize (zenon_H89 (a110)). zenon_intro zenon_Hd1. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Hd1); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd2 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H67 | zenon_intro zenon_H29 ]. % 0.93/1.15 exact (zenon_H63 zenon_H67). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.93/1.15 exact (zenon_H25 zenon_H2c). % 0.93/1.15 exact (zenon_H2b zenon_H26). % 0.93/1.15 exact (zenon_H2b zenon_H26). % 0.93/1.15 (* end of lemma zenon_L47_ *) % 0.93/1.15 assert (zenon_L48_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a110))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hcf zenon_H26 zenon_H25 zenon_H89 zenon_H24 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H2f. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 0.93/1.15 apply (zenon_L47_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 0.93/1.15 apply (zenon_L45_); trivial. % 0.93/1.15 exact (zenon_H2f zenon_H30). % 0.93/1.15 (* end of lemma zenon_L48_ *) % 0.93/1.15 assert (zenon_L49_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp17)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd3 zenon_H2f zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_H10 zenon_Hc6 zenon_Hc7 zenon_Hc8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H5f | zenon_intro zenon_Hd4 ]. % 0.93/1.15 apply (zenon_L46_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H89 | zenon_intro zenon_H7f ]. % 0.93/1.15 apply (zenon_L48_); trivial. % 0.93/1.15 apply (zenon_L45_); trivial. % 0.93/1.15 (* end of lemma zenon_L49_ *) % 0.93/1.15 assert (zenon_L50_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (~(hskp12)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8f zenon_H90 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H8d. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 0.93/1.15 apply (zenon_L45_); trivial. % 0.93/1.15 exact (zenon_H8d zenon_H8e). % 0.93/1.15 (* end of lemma zenon_L50_ *) % 0.93/1.15 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd5 zenon_H94 zenon_H90 zenon_H8d zenon_Hcf zenon_H26 zenon_H25 zenon_H24 zenon_Hd3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L49_); trivial. % 0.93/1.15 apply (zenon_L50_); trivial. % 0.93/1.15 (* end of lemma zenon_L51_ *) % 0.93/1.15 assert (zenon_L52_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_Hcf zenon_Hd3 zenon_H94 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H35 zenon_H33 zenon_H6a zenon_H5c zenon_H1 zenon_H6e zenon_H6d zenon_H74 zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H22. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.15 apply (zenon_L34_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L27_); trivial. % 0.93/1.15 apply (zenon_L44_); trivial. % 0.93/1.15 apply (zenon_L51_); trivial. % 0.93/1.15 (* end of lemma zenon_L52_ *) % 0.93/1.15 assert (zenon_L53_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hdc zenon_Hd9 zenon_Hcf zenon_Hd3 zenon_H94 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H35 zenon_H33 zenon_H6a zenon_H5c zenon_H6e zenon_H6d zenon_H74 zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_Hd zenon_H1 zenon_H3 zenon_H1b zenon_H1e zenon_H22. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.15 apply (zenon_L12_); trivial. % 0.93/1.15 apply (zenon_L52_); trivial. % 0.93/1.15 (* end of lemma zenon_L53_ *) % 0.93/1.15 assert (zenon_L54_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H3a zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf. % 0.93/1.15 generalize (zenon_H3a (a113)). zenon_intro zenon_He0. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_Hf | zenon_intro zenon_He1 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.93/1.15 exact (zenon_Hdd zenon_He3). % 0.93/1.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ]. % 0.93/1.15 exact (zenon_Hde zenon_He5). % 0.93/1.15 exact (zenon_He4 zenon_Hdf). % 0.93/1.15 (* end of lemma zenon_L54_ *) % 0.93/1.15 assert (zenon_L55_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_H10 zenon_H68. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 0.93/1.15 apply (zenon_L54_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 0.93/1.15 apply (zenon_L23_); trivial. % 0.93/1.15 exact (zenon_H68 zenon_H69). % 0.93/1.15 (* end of lemma zenon_L55_ *) % 0.93/1.15 assert (zenon_L56_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6e zenon_H1 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H24 zenon_H25 zenon_H26 zenon_H68 zenon_H6a. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 0.93/1.15 apply (zenon_L55_); trivial. % 0.93/1.15 exact (zenon_H1 zenon_H2). % 0.93/1.15 (* end of lemma zenon_L56_ *) % 0.93/1.15 assert (zenon_L57_ : (~(hskp26)) -> (hskp26) -> False). % 0.93/1.15 do 0 intro. intros zenon_He6 zenon_He7. % 0.93/1.15 exact (zenon_He6 zenon_He7). % 0.93/1.15 (* end of lemma zenon_L57_ *) % 0.93/1.15 assert (zenon_L58_ : (~(hskp7)) -> (hskp7) -> False). % 0.93/1.15 do 0 intro. intros zenon_He8 zenon_He9. % 0.93/1.15 exact (zenon_He8 zenon_He9). % 0.93/1.15 (* end of lemma zenon_L58_ *) % 0.93/1.15 assert (zenon_L59_ : ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp26)) -> (~(hskp7)) -> (~(hskp0)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hea zenon_He6 zenon_He8 zenon_H85. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_He7 | zenon_intro zenon_Heb ]. % 0.93/1.15 exact (zenon_He6 zenon_He7). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He9 | zenon_intro zenon_H86 ]. % 0.93/1.15 exact (zenon_He8 zenon_He9). % 0.93/1.15 exact (zenon_H85 zenon_H86). % 0.93/1.15 (* end of lemma zenon_L59_ *) % 0.93/1.15 assert (zenon_L60_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H9c zenon_H10 zenon_Hec zenon_Hed zenon_Hee. % 0.93/1.15 generalize (zenon_H9c (a187)). zenon_intro zenon_Hef. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_Hf | zenon_intro zenon_Hf0 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 0.93/1.15 exact (zenon_Hec zenon_Hf2). % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.93/1.15 exact (zenon_Hed zenon_Hf4). % 0.93/1.15 exact (zenon_Hf3 zenon_Hee). % 0.93/1.15 (* end of lemma zenon_L60_ *) % 0.93/1.15 assert (zenon_L61_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hc1 zenon_Hee zenon_Hed zenon_Hec zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_Hb1. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H9c | zenon_intro zenon_Hc5 ]. % 0.93/1.15 apply (zenon_L60_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H23 | zenon_intro zenon_Hb2 ]. % 0.93/1.15 apply (zenon_L13_); trivial. % 0.93/1.15 exact (zenon_Hb1 zenon_Hb2). % 0.93/1.15 (* end of lemma zenon_L61_ *) % 0.93/1.15 assert (zenon_L62_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbc zenon_Hf5 zenon_H2d zenon_H97. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf6 ]. % 0.93/1.15 apply (zenon_L42_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H2e | zenon_intro zenon_H98 ]. % 0.93/1.15 exact (zenon_H2d zenon_H2e). % 0.93/1.15 exact (zenon_H97 zenon_H98). % 0.93/1.15 (* end of lemma zenon_L62_ *) % 0.93/1.15 assert (zenon_L63_ : ((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hf7 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H2d zenon_H24 zenon_H25 zenon_H26 zenon_Hc1. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.15 apply (zenon_L61_); trivial. % 0.93/1.15 apply (zenon_L62_); trivial. % 0.93/1.15 (* end of lemma zenon_L63_ *) % 0.93/1.15 assert (zenon_L64_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hfa zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H9 zenon_H95. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 0.93/1.15 apply (zenon_L54_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 0.93/1.15 exact (zenon_H9 zenon_Ha). % 0.93/1.15 exact (zenon_H95 zenon_H96). % 0.93/1.15 (* end of lemma zenon_L64_ *) % 0.93/1.15 assert (zenon_L65_ : (~(hskp31)) -> (hskp31) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hfc zenon_Hfd. % 0.93/1.15 exact (zenon_Hfc zenon_Hfd). % 0.93/1.15 (* end of lemma zenon_L65_ *) % 0.93/1.15 assert (zenon_L66_ : (~(hskp24)) -> (hskp24) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hfe zenon_Hff. % 0.93/1.15 exact (zenon_Hfe zenon_Hff). % 0.93/1.15 (* end of lemma zenon_L66_ *) % 0.93/1.15 assert (zenon_L67_ : ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp31)) -> (~(hskp30)) -> (~(hskp24)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H100 zenon_Hfc zenon_Hb1 zenon_Hfe. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 0.93/1.15 exact (zenon_Hfc zenon_Hfd). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hff ]. % 0.93/1.15 exact (zenon_Hb1 zenon_Hb2). % 0.93/1.15 exact (zenon_Hfe zenon_Hff). % 0.93/1.15 (* end of lemma zenon_L67_ *) % 0.93/1.15 assert (zenon_L68_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a141)) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H102 zenon_H10 zenon_H103 zenon_H104 zenon_H105. % 0.93/1.15 generalize (zenon_H102 (a141)). zenon_intro zenon_H106. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_Hf | zenon_intro zenon_H107 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.93/1.15 exact (zenon_H109 zenon_H103). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.93/1.15 exact (zenon_H10b zenon_H104). % 0.93/1.15 exact (zenon_H10a zenon_H105). % 0.93/1.15 (* end of lemma zenon_L68_ *) % 0.93/1.15 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H10c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hdf zenon_Hde zenon_Hdd. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 0.93/1.15 apply (zenon_L54_); trivial. % 0.93/1.15 apply (zenon_L68_); trivial. % 0.93/1.15 (* end of lemma zenon_L69_ *) % 0.93/1.15 assert (zenon_L70_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.15 apply (zenon_L64_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.15 apply (zenon_L67_); trivial. % 0.93/1.15 apply (zenon_L69_); trivial. % 0.93/1.15 apply (zenon_L43_); trivial. % 0.93/1.15 (* end of lemma zenon_L70_ *) % 0.93/1.15 assert (zenon_L71_ : (forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45))))) -> (ndr1_0) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H112 zenon_H10 zenon_H113 zenon_H114 zenon_H115. % 0.93/1.15 generalize (zenon_H112 (a163)). zenon_intro zenon_H116. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_Hf | zenon_intro zenon_H117 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.93/1.15 exact (zenon_H113 zenon_H119). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ]. % 0.93/1.15 exact (zenon_H114 zenon_H11b). % 0.93/1.15 exact (zenon_H115 zenon_H11a). % 0.93/1.15 (* end of lemma zenon_L71_ *) % 0.93/1.15 assert (zenon_L72_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hc2 zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_H4b zenon_H4a zenon_H49. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 0.93/1.15 apply (zenon_L71_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 0.93/1.15 apply (zenon_L20_); trivial. % 0.93/1.15 apply (zenon_L39_); trivial. % 0.93/1.15 (* end of lemma zenon_L72_ *) % 0.93/1.15 assert (zenon_L73_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.15 apply (zenon_L64_); trivial. % 0.93/1.15 apply (zenon_L72_); trivial. % 0.93/1.15 (* end of lemma zenon_L73_ *) % 0.93/1.15 assert (zenon_L74_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.15 apply (zenon_L70_); trivial. % 0.93/1.15 apply (zenon_L73_); trivial. % 0.93/1.15 (* end of lemma zenon_L74_ *) % 0.93/1.15 assert (zenon_L75_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L49_); trivial. % 0.93/1.15 apply (zenon_L44_); trivial. % 0.93/1.15 (* end of lemma zenon_L75_ *) % 0.93/1.15 assert (zenon_L76_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp7)) -> (~(hskp0)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H122 zenon_Hd9 zenon_H22 zenon_H99 zenon_Hd3 zenon_Hcf zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_Hc1 zenon_He8 zenon_H85 zenon_Hea zenon_Hbf zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H74 zenon_H94 zenon_H6a zenon_H26 zenon_H25 zenon_H24 zenon_H1 zenon_H6e. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.15 apply (zenon_L56_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L49_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 0.93/1.15 apply (zenon_L59_); trivial. % 0.93/1.15 apply (zenon_L63_); trivial. % 0.93/1.15 apply (zenon_L74_); trivial. % 0.93/1.15 apply (zenon_L75_); trivial. % 0.93/1.15 (* end of lemma zenon_L76_ *) % 0.93/1.15 assert (zenon_L77_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H126 zenon_H123 zenon_Hf5 zenon_He8 zenon_Hea zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H22 zenon_H1e zenon_H1b zenon_H3 zenon_H1 zenon_Hd zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H74 zenon_H6d zenon_H6e zenon_H5c zenon_H6a zenon_H33 zenon_H35 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H87 zenon_H85 zenon_H90 zenon_H94 zenon_Hd3 zenon_Hcf zenon_Hd9 zenon_Hdc. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 0.93/1.15 apply (zenon_L53_); trivial. % 0.93/1.15 apply (zenon_L76_); trivial. % 0.93/1.15 (* end of lemma zenon_L77_ *) % 0.93/1.15 assert (zenon_L78_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> False). % 0.93/1.15 do 0 intro. intros zenon_H127 zenon_H2d zenon_H128 zenon_H129 zenon_H12a zenon_H10. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H12b | zenon_intro zenon_H2e ]. % 0.93/1.15 generalize (zenon_H12b (a112)). zenon_intro zenon_H12c. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_Hf | zenon_intro zenon_H12d ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.93/1.15 exact (zenon_H12a zenon_H12f). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.93/1.15 exact (zenon_H129 zenon_H131). % 0.93/1.15 exact (zenon_H130 zenon_H128). % 0.93/1.15 exact (zenon_H2d zenon_H2e). % 0.93/1.15 (* end of lemma zenon_L78_ *) % 0.93/1.15 assert (zenon_L79_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H38 zenon_H10 zenon_H132 zenon_H12a zenon_H128 zenon_H129. % 0.93/1.15 generalize (zenon_H38 (a112)). zenon_intro zenon_H133. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_Hf | zenon_intro zenon_H134 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H135 | zenon_intro zenon_H12e ]. % 0.93/1.15 generalize (zenon_H132 (a112)). zenon_intro zenon_H136. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H136); [ zenon_intro zenon_Hf | zenon_intro zenon_H137 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H12f | zenon_intro zenon_H138 ]. % 0.93/1.15 exact (zenon_H12a zenon_H12f). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H139 | zenon_intro zenon_H130 ]. % 0.93/1.15 exact (zenon_H139 zenon_H135). % 0.93/1.15 exact (zenon_H130 zenon_H128). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.93/1.15 exact (zenon_H129 zenon_H131). % 0.93/1.15 exact (zenon_H130 zenon_H128). % 0.93/1.15 (* end of lemma zenon_L79_ *) % 0.93/1.15 assert (zenon_L80_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd8 zenon_H74 zenon_H5c zenon_H8d zenon_H13a zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.15 apply (zenon_L78_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H132 | zenon_intro zenon_H13b ]. % 0.93/1.15 apply (zenon_L79_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H52 | zenon_intro zenon_H8e ]. % 0.93/1.15 apply (zenon_L21_); trivial. % 0.93/1.15 exact (zenon_H8d zenon_H8e). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 0.93/1.15 apply (zenon_L20_); trivial. % 0.93/1.15 apply (zenon_L21_); trivial. % 0.93/1.15 (* end of lemma zenon_L80_ *) % 0.93/1.15 assert (zenon_L81_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hdc zenon_H74 zenon_H5c zenon_H8d zenon_H13a zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hd zenon_H1 zenon_H3 zenon_H1b zenon_H1e zenon_H22. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.15 apply (zenon_L12_); trivial. % 0.93/1.15 apply (zenon_L80_); trivial. % 0.93/1.15 (* end of lemma zenon_L81_ *) % 0.93/1.15 assert (zenon_L82_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.15 apply (zenon_L78_); trivial. % 0.93/1.15 apply (zenon_L74_); trivial. % 0.93/1.15 (* end of lemma zenon_L82_ *) % 0.93/1.15 assert (zenon_L83_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_Hd3. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L49_); trivial. % 0.93/1.15 apply (zenon_L82_); trivial. % 0.93/1.15 (* end of lemma zenon_L83_ *) % 0.93/1.15 assert (zenon_L84_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp28)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_Hfc zenon_H95. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ]. % 0.93/1.15 apply (zenon_L9_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hfd | zenon_intro zenon_H96 ]. % 0.93/1.15 exact (zenon_Hfc zenon_Hfd). % 0.93/1.15 exact (zenon_H95 zenon_H96). % 0.93/1.15 (* end of lemma zenon_L84_ *) % 0.93/1.15 assert (zenon_L85_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.15 apply (zenon_L84_); trivial. % 0.93/1.15 apply (zenon_L69_); trivial. % 0.93/1.15 (* end of lemma zenon_L85_ *) % 0.93/1.15 assert (zenon_L86_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a141)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H9b zenon_H10 zenon_H103 zenon_H132 zenon_H104 zenon_H105. % 0.93/1.15 generalize (zenon_H9b (a141)). zenon_intro zenon_H13e. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_Hf | zenon_intro zenon_H13f ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H109 | zenon_intro zenon_H140 ]. % 0.93/1.15 exact (zenon_H109 zenon_H103). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 0.93/1.15 generalize (zenon_H132 (a141)). zenon_intro zenon_H142. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_Hf | zenon_intro zenon_H143 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H145 | zenon_intro zenon_H144 ]. % 0.93/1.15 exact (zenon_H141 zenon_H145). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H109 | zenon_intro zenon_H10b ]. % 0.93/1.15 exact (zenon_H109 zenon_H103). % 0.93/1.15 exact (zenon_H10b zenon_H104). % 0.93/1.15 exact (zenon_H10a zenon_H105). % 0.93/1.15 (* end of lemma zenon_L86_ *) % 0.93/1.15 assert (zenon_L87_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (c0_1 (a141)) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H105 zenon_H104 zenon_H132 zenon_H103 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 0.93/1.15 apply (zenon_L86_); trivial. % 0.93/1.15 apply (zenon_L39_); trivial. % 0.93/1.15 (* end of lemma zenon_L87_ *) % 0.93/1.15 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H10c zenon_H146 zenon_H13 zenon_H12 zenon_H14 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 0.93/1.15 apply (zenon_L28_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 0.93/1.15 apply (zenon_L40_); trivial. % 0.93/1.15 apply (zenon_L87_); trivial. % 0.93/1.15 (* end of lemma zenon_L88_ *) % 0.93/1.15 assert (zenon_L89_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H14 zenon_H12 zenon_H13 zenon_H146 zenon_H111. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.15 apply (zenon_L67_); trivial. % 0.93/1.15 apply (zenon_L88_); trivial. % 0.93/1.15 apply (zenon_L43_); trivial. % 0.93/1.15 (* end of lemma zenon_L89_ *) % 0.93/1.15 assert (zenon_L90_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_H100 zenon_Hfe zenon_Haf zenon_H146 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.15 apply (zenon_L85_); trivial. % 0.93/1.15 apply (zenon_L89_); trivial. % 0.93/1.15 (* end of lemma zenon_L90_ *) % 0.93/1.15 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.15 apply (zenon_L90_); trivial. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.15 apply (zenon_L85_); trivial. % 0.93/1.15 apply (zenon_L72_); trivial. % 0.93/1.15 (* end of lemma zenon_L91_ *) % 0.93/1.15 assert (zenon_L92_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.15 apply (zenon_L78_); trivial. % 0.93/1.15 apply (zenon_L91_); trivial. % 0.93/1.15 (* end of lemma zenon_L92_ *) % 0.93/1.15 assert (zenon_L93_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H1d zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.15 apply (zenon_L49_); trivial. % 0.93/1.15 apply (zenon_L92_); trivial. % 0.93/1.15 (* end of lemma zenon_L93_ *) % 0.93/1.15 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H13c zenon_H146 zenon_Hd3 zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hfa zenon_H11c zenon_H121 zenon_H74 zenon_H94. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.15 apply (zenon_L83_); trivial. % 0.93/1.15 apply (zenon_L93_); trivial. % 0.93/1.15 (* end of lemma zenon_L94_ *) % 0.93/1.15 assert (zenon_L95_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H122 zenon_Hd9 zenon_H22 zenon_H13c zenon_H146 zenon_Hd3 zenon_Hcf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H74 zenon_H94 zenon_H6a zenon_H26 zenon_H25 zenon_H24 zenon_H1 zenon_H6e. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.15 apply (zenon_L56_); trivial. % 0.93/1.15 apply (zenon_L94_); trivial. % 0.93/1.15 (* end of lemma zenon_L95_ *) % 0.93/1.15 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H148 zenon_H126 zenon_Hd9 zenon_H13c zenon_H146 zenon_Hd3 zenon_Hcf zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94 zenon_H6a zenon_H26 zenon_H25 zenon_H24 zenon_H6e zenon_H22 zenon_H1e zenon_H1b zenon_H3 zenon_H1 zenon_Hd zenon_H127 zenon_H13a zenon_H5c zenon_H74 zenon_Hdc. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 0.93/1.15 apply (zenon_L81_); trivial. % 0.93/1.15 apply (zenon_L95_); trivial. % 0.93/1.15 (* end of lemma zenon_L96_ *) % 0.93/1.15 assert (zenon_L97_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26))))) -> (ndr1_0) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H14b zenon_H10 zenon_H14c zenon_H14d zenon_H14e. % 0.93/1.15 generalize (zenon_H14b (a111)). zenon_intro zenon_H14f. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_Hf | zenon_intro zenon_H150 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.93/1.15 exact (zenon_H14c zenon_H152). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ]. % 0.93/1.15 exact (zenon_H14d zenon_H154). % 0.93/1.15 exact (zenon_H14e zenon_H153). % 0.93/1.15 (* end of lemma zenon_L97_ *) % 0.93/1.15 assert (zenon_L98_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp13)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H10c zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_Hb. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.93/1.15 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.15 apply (zenon_L97_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.15 apply (zenon_L68_); trivial. % 0.93/1.15 exact (zenon_Hb zenon_Hc). % 0.93/1.15 (* end of lemma zenon_L98_ *) % 0.93/1.15 assert (zenon_L99_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 0.93/1.15 do 0 intro. intros zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hb1 zenon_Hfe zenon_H100. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.15 apply (zenon_L67_); trivial. % 0.93/1.15 apply (zenon_L98_); trivial. % 0.93/1.15 (* end of lemma zenon_L99_ *) % 0.93/1.15 assert (zenon_L100_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a131)) -> (c3_1 (a131)) -> (c2_1 (a131)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H5e zenon_H10 zenon_H102 zenon_Hb3 zenon_Hb5 zenon_Hb4. % 0.93/1.15 generalize (zenon_H5e (a131)). zenon_intro zenon_H157. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_Hf | zenon_intro zenon_H158 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.93/1.15 generalize (zenon_H102 (a131)). zenon_intro zenon_H15b. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_Hf | zenon_intro zenon_H15c ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H15d ]. % 0.93/1.15 exact (zenon_Hb9 zenon_Hb3). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15e | zenon_intro zenon_Hba ]. % 0.93/1.15 exact (zenon_H15e zenon_H15a). % 0.93/1.15 exact (zenon_Hba zenon_Hb5). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbb ]. % 0.93/1.15 exact (zenon_Hb9 zenon_Hb3). % 0.93/1.15 exact (zenon_Hbb zenon_Hb4). % 0.93/1.15 (* end of lemma zenon_L100_ *) % 0.93/1.15 assert (zenon_L101_ : (~(hskp29)) -> (hskp29) -> False). % 0.93/1.15 do 0 intro. intros zenon_H15f zenon_H160. % 0.93/1.15 exact (zenon_H15f zenon_H160). % 0.93/1.15 (* end of lemma zenon_L101_ *) % 0.93/1.15 assert (zenon_L102_ : (~(hskp21)) -> (hskp21) -> False). % 0.93/1.15 do 0 intro. intros zenon_H161 zenon_H162. % 0.93/1.15 exact (zenon_H161 zenon_H162). % 0.93/1.15 (* end of lemma zenon_L102_ *) % 0.93/1.15 assert (zenon_L103_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H163 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H102 zenon_H10 zenon_H15f zenon_H161. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H5e | zenon_intro zenon_H164 ]. % 0.93/1.15 apply (zenon_L100_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H160 | zenon_intro zenon_H162 ]. % 0.93/1.15 exact (zenon_H15f zenon_H160). % 0.93/1.15 exact (zenon_H161 zenon_H162). % 0.93/1.15 (* end of lemma zenon_L103_ *) % 0.93/1.15 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp21)) -> (~(hskp29)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp13)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbc zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H161 zenon_H15f zenon_H163 zenon_Hb. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.15 apply (zenon_L97_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.15 apply (zenon_L103_); trivial. % 0.93/1.15 exact (zenon_Hb zenon_Hc). % 0.93/1.15 (* end of lemma zenon_L104_ *) % 0.93/1.15 assert (zenon_L105_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp29)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hc0 zenon_H15f zenon_H161 zenon_H163 zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.15 apply (zenon_L99_); trivial. % 0.93/1.15 apply (zenon_L104_); trivial. % 0.93/1.15 (* end of lemma zenon_L105_ *) % 0.93/1.15 assert (zenon_L106_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a128)) -> (c1_1 (a128)) -> (c3_1 (a128)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H102 zenon_H10 zenon_H165 zenon_H166 zenon_H167. % 0.93/1.15 generalize (zenon_H102 (a128)). zenon_intro zenon_H168. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_Hf | zenon_intro zenon_H169 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.93/1.15 exact (zenon_H16b zenon_H165). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.93/1.15 exact (zenon_H16d zenon_H166). % 0.93/1.15 exact (zenon_H16c zenon_H167). % 0.93/1.15 (* end of lemma zenon_L106_ *) % 0.93/1.15 assert (zenon_L107_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> (c2_1 (a128)) -> False). % 0.93/1.15 do 0 intro. intros zenon_H7f zenon_H10 zenon_H102 zenon_H165 zenon_H166 zenon_H16e. % 0.93/1.15 generalize (zenon_H7f (a128)). zenon_intro zenon_H16f. % 0.93/1.15 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_Hf | zenon_intro zenon_H170 ]. % 0.93/1.15 exact (zenon_Hf zenon_H10). % 0.93/1.15 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H167 | zenon_intro zenon_H171 ]. % 0.93/1.15 apply (zenon_L106_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H16b | zenon_intro zenon_H172 ]. % 0.93/1.15 exact (zenon_H16b zenon_H165). % 0.93/1.15 exact (zenon_H172 zenon_H16e). % 0.93/1.15 (* end of lemma zenon_L107_ *) % 0.93/1.15 assert (zenon_L108_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hcf zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H16e zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H2f. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 0.93/1.15 apply (zenon_L100_); trivial. % 0.93/1.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 0.93/1.15 apply (zenon_L107_); trivial. % 0.93/1.15 exact (zenon_H2f zenon_H30). % 0.93/1.15 (* end of lemma zenon_L108_ *) % 0.93/1.15 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp17)) -> (c0_1 (a128)) -> (c1_1 (a128)) -> (c2_1 (a128)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> False). % 0.93/1.15 do 0 intro. intros zenon_Hbc zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H2f zenon_H165 zenon_H166 zenon_H16e zenon_Hcf zenon_Hb. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 0.93/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.93/1.15 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.16 apply (zenon_L97_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.16 apply (zenon_L108_); trivial. % 0.93/1.16 exact (zenon_Hb zenon_Hc). % 0.93/1.16 (* end of lemma zenon_L109_ *) % 0.93/1.16 assert (zenon_L110_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H163 zenon_H161 zenon_Hc0. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 0.93/1.16 apply (zenon_L105_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.16 apply (zenon_L99_); trivial. % 0.93/1.16 apply (zenon_L109_); trivial. % 0.93/1.16 (* end of lemma zenon_L110_ *) % 0.93/1.16 assert (zenon_L111_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.16 apply (zenon_L84_); trivial. % 0.93/1.16 apply (zenon_L98_); trivial. % 0.93/1.16 (* end of lemma zenon_L111_ *) % 0.93/1.16 assert (zenon_L112_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.16 apply (zenon_L111_); trivial. % 0.93/1.16 apply (zenon_L72_); trivial. % 0.93/1.16 (* end of lemma zenon_L112_ *) % 0.93/1.16 assert (zenon_L113_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.16 apply (zenon_L110_); trivial. % 0.93/1.16 apply (zenon_L112_); trivial. % 0.93/1.16 (* end of lemma zenon_L113_ *) % 0.93/1.16 assert (zenon_L114_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H177 zenon_H10 zenon_H178 zenon_H179 zenon_H17a. % 0.93/1.16 generalize (zenon_H177 (a143)). zenon_intro zenon_H17b. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H17b); [ zenon_intro zenon_Hf | zenon_intro zenon_H17c ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H17e | zenon_intro zenon_H17d ]. % 0.93/1.16 exact (zenon_H178 zenon_H17e). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.93/1.16 exact (zenon_H179 zenon_H180). % 0.93/1.16 exact (zenon_H17f zenon_H17a). % 0.93/1.16 (* end of lemma zenon_L114_ *) % 0.93/1.16 assert (zenon_L115_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H3a zenon_H10 zenon_H181 zenon_H179 zenon_H17a. % 0.93/1.16 generalize (zenon_H3a (a143)). zenon_intro zenon_H182. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_Hf | zenon_intro zenon_H183 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H184 | zenon_intro zenon_H17d ]. % 0.93/1.16 exact (zenon_H181 zenon_H184). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.93/1.16 exact (zenon_H179 zenon_H180). % 0.93/1.16 exact (zenon_H17f zenon_H17a). % 0.93/1.16 (* end of lemma zenon_L115_ *) % 0.93/1.16 assert (zenon_L116_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H11 zenon_H10 zenon_H178 zenon_H3a zenon_H179 zenon_H17a. % 0.93/1.16 generalize (zenon_H11 (a143)). zenon_intro zenon_H185. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_Hf | zenon_intro zenon_H186 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17e | zenon_intro zenon_H187 ]. % 0.93/1.16 exact (zenon_H178 zenon_H17e). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H181 | zenon_intro zenon_H17f ]. % 0.93/1.16 apply (zenon_L115_); trivial. % 0.93/1.16 exact (zenon_H17f zenon_H17a). % 0.93/1.16 (* end of lemma zenon_L116_ *) % 0.93/1.16 assert (zenon_L117_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H188 zenon_H3c zenon_H3b zenon_H39 zenon_H10 zenon_H178 zenon_H3a zenon_H179 zenon_H17a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 0.93/1.16 apply (zenon_L19_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 0.93/1.16 apply (zenon_L114_); trivial. % 0.93/1.16 apply (zenon_L116_); trivial. % 0.93/1.16 (* end of lemma zenon_L117_ *) % 0.93/1.16 assert (zenon_L118_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6a zenon_H17a zenon_H179 zenon_H178 zenon_H39 zenon_H3b zenon_H3c zenon_H188 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H102 zenon_H10 zenon_H68. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 0.93/1.16 apply (zenon_L117_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 0.93/1.16 apply (zenon_L100_); trivial. % 0.93/1.16 exact (zenon_H68 zenon_H69). % 0.93/1.16 (* end of lemma zenon_L118_ *) % 0.93/1.16 assert (zenon_L119_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6d zenon_Hc0 zenon_H188 zenon_H17a zenon_H179 zenon_H178 zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H33 zenon_H35. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 0.93/1.16 apply (zenon_L18_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.93/1.16 apply (zenon_L99_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.16 apply (zenon_L97_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.16 apply (zenon_L118_); trivial. % 0.93/1.16 exact (zenon_Hb zenon_Hc). % 0.93/1.16 (* end of lemma zenon_L119_ *) % 0.93/1.16 assert (zenon_L120_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H18a zenon_H121 zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H35 zenon_H33 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H188 zenon_Hc0 zenon_H6d. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.16 apply (zenon_L119_); trivial. % 0.93/1.16 apply (zenon_L112_); trivial. % 0.93/1.16 (* end of lemma zenon_L120_ *) % 0.93/1.16 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6c zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H11c zenon_Hbf zenon_H121. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 0.93/1.16 apply (zenon_L113_); trivial. % 0.93/1.16 apply (zenon_L120_); trivial. % 0.93/1.16 (* end of lemma zenon_L121_ *) % 0.93/1.16 assert (zenon_L122_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1d zenon_H94 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L16_); trivial. % 0.93/1.16 apply (zenon_L121_); trivial. % 0.93/1.16 apply (zenon_L44_); trivial. % 0.93/1.16 (* end of lemma zenon_L122_ *) % 0.93/1.16 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H94 zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_Hcf zenon_H26 zenon_H25 zenon_H24 zenon_Hd3 zenon_H1 zenon_Hb zenon_Hd. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L7_); trivial. % 0.93/1.16 apply (zenon_L75_); trivial. % 0.93/1.16 (* end of lemma zenon_L123_ *) % 0.93/1.16 assert (zenon_L124_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hd9 zenon_Hd3 zenon_Hd zenon_Hb zenon_H1 zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_H94 zenon_H22. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L7_); trivial. % 0.93/1.16 apply (zenon_L122_); trivial. % 0.93/1.16 apply (zenon_L123_); trivial. % 0.93/1.16 (* end of lemma zenon_L124_ *) % 0.93/1.16 assert (zenon_L125_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hdc zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H5c zenon_H6e zenon_H22 zenon_H94 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74 zenon_H1 zenon_Hd zenon_Hd3 zenon_Hd9. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.16 apply (zenon_L124_); trivial. % 0.93/1.16 apply (zenon_L52_); trivial. % 0.93/1.16 (* end of lemma zenon_L125_ *) % 0.93/1.16 assert (zenon_L126_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H146 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Hc0 zenon_Hbf. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 0.93/1.16 apply (zenon_L111_); trivial. % 0.93/1.16 apply (zenon_L89_); trivial. % 0.93/1.16 apply (zenon_L112_); trivial. % 0.93/1.16 (* end of lemma zenon_L126_ *) % 0.93/1.16 assert (zenon_L127_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L78_); trivial. % 0.93/1.16 apply (zenon_L126_); trivial. % 0.93/1.16 (* end of lemma zenon_L127_ *) % 0.93/1.16 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1d zenon_H94 zenon_H146 zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L78_); trivial. % 0.93/1.16 apply (zenon_L121_); trivial. % 0.93/1.16 apply (zenon_L127_); trivial. % 0.93/1.16 (* end of lemma zenon_L128_ *) % 0.93/1.16 assert (zenon_L129_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H148 zenon_H126 zenon_H10d zenon_Hfa zenon_H6e zenon_Hd9 zenon_H90 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3 zenon_Hd zenon_H1 zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H127 zenon_Haf zenon_H146 zenon_H94 zenon_H22 zenon_H13a zenon_H5c zenon_Hdc. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L7_); trivial. % 0.93/1.16 apply (zenon_L128_); trivial. % 0.93/1.16 apply (zenon_L51_); trivial. % 0.93/1.16 apply (zenon_L80_); trivial. % 0.93/1.16 apply (zenon_L95_); trivial. % 0.93/1.16 (* end of lemma zenon_L129_ *) % 0.93/1.16 assert (zenon_L130_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H18e zenon_H18f zenon_H127 zenon_H146 zenon_H13a zenon_Hdc zenon_H90 zenon_H85 zenon_H87 zenon_H5c zenon_H6e zenon_H22 zenon_H94 zenon_Haf zenon_Hc1 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74 zenon_H1 zenon_Hd zenon_Hd3 zenon_Hd9 zenon_Hfa zenon_H10d zenon_Hea zenon_He8 zenon_Hf5 zenon_H123 zenon_H126. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 0.93/1.16 apply (zenon_L125_); trivial. % 0.93/1.16 apply (zenon_L76_); trivial. % 0.93/1.16 apply (zenon_L129_); trivial. % 0.93/1.16 (* end of lemma zenon_L130_ *) % 0.93/1.16 assert (zenon_L131_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp7)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H192 zenon_H163 zenon_H155 zenon_H173 zenon_H188 zenon_H18d zenon_H126 zenon_H123 zenon_Hf5 zenon_He8 zenon_Hea zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H22 zenon_H1e zenon_H3 zenon_H1 zenon_Hd zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H99 zenon_H74 zenon_H6d zenon_H6e zenon_H5c zenon_H6a zenon_H33 zenon_H35 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H87 zenon_H85 zenon_H90 zenon_H94 zenon_Hd3 zenon_Hcf zenon_Hd9 zenon_Hdc zenon_H13a zenon_H127 zenon_H146 zenon_H13c zenon_H18f. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 0.93/1.16 apply (zenon_L77_); trivial. % 0.93/1.16 apply (zenon_L96_); trivial. % 0.93/1.16 apply (zenon_L130_); trivial. % 0.93/1.16 (* end of lemma zenon_L131_ *) % 0.93/1.16 assert (zenon_L132_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H38 zenon_H10 zenon_H193 zenon_H194 zenon_H195. % 0.93/1.16 generalize (zenon_H38 (a109)). zenon_intro zenon_H196. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_Hf | zenon_intro zenon_H197 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.93/1.16 exact (zenon_H193 zenon_H199). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.93/1.16 exact (zenon_H194 zenon_H19b). % 0.93/1.16 exact (zenon_H19a zenon_H195). % 0.93/1.16 (* end of lemma zenon_L132_ *) % 0.93/1.16 assert (zenon_L133_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp10)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H19c zenon_H195 zenon_H194 zenon_H193 zenon_H10 zenon_H9 zenon_H1b. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H38 | zenon_intro zenon_H19d ]. % 0.93/1.16 apply (zenon_L132_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_Ha | zenon_intro zenon_H1c ]. % 0.93/1.16 exact (zenon_H9 zenon_Ha). % 0.93/1.16 exact (zenon_H1b zenon_H1c). % 0.93/1.16 (* end of lemma zenon_L133_ *) % 0.93/1.16 assert (zenon_L134_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp4)) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H22 zenon_H1e zenon_H3 zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H1b zenon_H19c. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L133_); trivial. % 0.93/1.16 apply (zenon_L11_); trivial. % 0.93/1.16 (* end of lemma zenon_L134_ *) % 0.93/1.16 assert (zenon_L135_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (c0_1 (a128)) -> (c1_1 (a128)) -> (c2_1 (a128)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H19e zenon_H10 zenon_H165 zenon_H166 zenon_H16e. % 0.93/1.16 generalize (zenon_H19e (a128)). zenon_intro zenon_H19f. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a0 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H16b | zenon_intro zenon_H1a1 ]. % 0.93/1.16 exact (zenon_H16b zenon_H165). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H16d | zenon_intro zenon_H172 ]. % 0.93/1.16 exact (zenon_H16d zenon_H166). % 0.93/1.16 exact (zenon_H172 zenon_H16e). % 0.93/1.16 (* end of lemma zenon_L135_ *) % 0.93/1.16 assert (zenon_L136_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1a2 zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_H16e zenon_H166 zenon_H165 zenon_H10 zenon_Hfc. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 0.93/1.16 apply (zenon_L23_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 0.93/1.16 apply (zenon_L135_); trivial. % 0.93/1.16 exact (zenon_Hfc zenon_Hfd). % 0.93/1.16 (* end of lemma zenon_L136_ *) % 0.93/1.16 assert (zenon_L137_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a110))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hcf zenon_H26 zenon_H25 zenon_H89 zenon_H24 zenon_H16e zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H2f. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 0.93/1.16 apply (zenon_L47_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 0.93/1.16 apply (zenon_L107_); trivial. % 0.93/1.16 exact (zenon_H2f zenon_H30). % 0.93/1.16 (* end of lemma zenon_L137_ *) % 0.93/1.16 assert (zenon_L138_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp13)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H16e zenon_H166 zenon_H165 zenon_H10 zenon_H7f zenon_Hb. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.16 apply (zenon_L97_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.16 apply (zenon_L107_); trivial. % 0.93/1.16 exact (zenon_Hb zenon_Hc). % 0.93/1.16 (* end of lemma zenon_L138_ *) % 0.93/1.16 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H174 zenon_H111 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H155 zenon_Hb zenon_H2f zenon_Hcf zenon_H14e zenon_H14d zenon_H14c zenon_Hd3. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H5f | zenon_intro zenon_Hd4 ]. % 0.93/1.16 apply (zenon_L136_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H89 | zenon_intro zenon_H7f ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 0.93/1.16 apply (zenon_L97_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 0.93/1.16 apply (zenon_L137_); trivial. % 0.93/1.16 exact (zenon_Hb zenon_Hc). % 0.93/1.16 apply (zenon_L138_); trivial. % 0.93/1.16 apply (zenon_L98_); trivial. % 0.93/1.16 (* end of lemma zenon_L139_ *) % 0.93/1.16 assert (zenon_L140_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H173 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H2f zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H163 zenon_H161 zenon_Hc0. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 0.93/1.16 apply (zenon_L105_); trivial. % 0.93/1.16 apply (zenon_L139_); trivial. % 0.93/1.16 (* end of lemma zenon_L140_ *) % 0.93/1.16 assert (zenon_L141_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H18a zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H12 zenon_H13 zenon_H14. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 0.93/1.16 apply (zenon_L132_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 0.93/1.16 apply (zenon_L114_); trivial. % 0.93/1.16 apply (zenon_L9_); trivial. % 0.93/1.16 (* end of lemma zenon_L141_ *) % 0.93/1.16 assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6c zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H2f zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H11c zenon_Hbf zenon_H121. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 0.93/1.16 apply (zenon_L140_); trivial. % 0.93/1.16 apply (zenon_L112_); trivial. % 0.93/1.16 apply (zenon_L141_); trivial. % 0.93/1.16 (* end of lemma zenon_L142_ *) % 0.93/1.16 assert (zenon_L143_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H74 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H1a2 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H2f zenon_H31. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L16_); trivial. % 0.93/1.16 apply (zenon_L142_); trivial. % 0.93/1.16 (* end of lemma zenon_L143_ *) % 0.93/1.16 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1d zenon_H94 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hd3 zenon_Hcf zenon_H1a2 zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H74. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_L143_); trivial. % 0.93/1.16 apply (zenon_L44_); trivial. % 0.93/1.16 (* end of lemma zenon_L144_ *) % 0.93/1.16 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6c zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H53 zenon_H54 zenon_H55. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 0.93/1.16 apply (zenon_L132_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 0.93/1.16 apply (zenon_L20_); trivial. % 0.93/1.16 apply (zenon_L21_); trivial. % 0.93/1.16 (* end of lemma zenon_L145_ *) % 0.93/1.16 assert (zenon_L146_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H74 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H195 zenon_H194 zenon_H193 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H2f zenon_H31. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L16_); trivial. % 0.93/1.16 apply (zenon_L145_); trivial. % 0.93/1.16 (* end of lemma zenon_L146_ *) % 0.93/1.16 assert (zenon_L147_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H94 zenon_H90 zenon_H8d zenon_H9 zenon_H85 zenon_H87 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H74. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_L146_); trivial. % 0.93/1.16 apply (zenon_L33_); trivial. % 0.93/1.16 (* end of lemma zenon_L147_ *) % 0.93/1.16 assert (zenon_L148_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H193 zenon_H194 zenon_H195 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H74. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_L146_); trivial. % 0.93/1.16 apply (zenon_L44_); trivial. % 0.93/1.16 (* end of lemma zenon_L148_ *) % 0.93/1.16 assert (zenon_L149_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hdc zenon_H5c zenon_H87 zenon_H85 zenon_H8d zenon_H90 zenon_Hd zenon_H1 zenon_H74 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H1a2 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_H94 zenon_H22. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L7_); trivial. % 0.93/1.16 apply (zenon_L144_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L147_); trivial. % 0.93/1.16 apply (zenon_L148_); trivial. % 0.93/1.16 (* end of lemma zenon_L149_ *) % 0.93/1.16 assert (zenon_L150_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hd9 zenon_H22 zenon_H94 zenon_Hbf zenon_Hc0 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_Hcf zenon_Hd3 zenon_Hb zenon_Hd zenon_H6a zenon_H26 zenon_H25 zenon_H24 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H1 zenon_H6e. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.16 apply (zenon_L56_); trivial. % 0.93/1.16 apply (zenon_L123_); trivial. % 0.93/1.16 (* end of lemma zenon_L150_ *) % 0.93/1.16 assert (zenon_L151_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (c0_1 (a116)) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60)))))) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H19e zenon_H10 zenon_Hc7 zenon_H1a4 zenon_Hc6 zenon_Hc8. % 0.93/1.16 generalize (zenon_H19e (a116)). zenon_intro zenon_H1a5. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a6 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a7 ]. % 0.93/1.16 exact (zenon_Hce zenon_Hc7). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_Hcd ]. % 0.93/1.16 generalize (zenon_H1a4 (a116)). zenon_intro zenon_H1a9. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1aa ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.93/1.16 exact (zenon_H1a8 zenon_H1ac). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hce ]. % 0.93/1.16 exact (zenon_Hc6 zenon_Hcc). % 0.93/1.16 exact (zenon_Hce zenon_Hc7). % 0.93/1.16 exact (zenon_Hcd zenon_Hc8). % 0.93/1.16 (* end of lemma zenon_L151_ *) % 0.93/1.16 assert (zenon_L152_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60)))))) -> (c0_1 (a116)) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1a2 zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_Hc8 zenon_Hc6 zenon_H1a4 zenon_Hc7 zenon_H10 zenon_Hfc. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 0.93/1.16 apply (zenon_L23_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 0.93/1.16 apply (zenon_L151_); trivial. % 0.93/1.16 exact (zenon_Hfc zenon_Hfd). % 0.93/1.16 (* end of lemma zenon_L152_ *) % 0.93/1.16 assert (zenon_L153_ : (~(hskp18)) -> (hskp18) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1ad zenon_H1ae. % 0.93/1.16 exact (zenon_H1ad zenon_H1ae). % 0.93/1.16 (* end of lemma zenon_L153_ *) % 0.93/1.16 assert (zenon_L154_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp31)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> (~(c1_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1af zenon_Hfc zenon_Hc7 zenon_Hc6 zenon_Hc8 zenon_H24 zenon_H5f zenon_H25 zenon_H26 zenon_H1a2 zenon_H55 zenon_H54 zenon_H53 zenon_H10 zenon_H1ad. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 0.93/1.16 apply (zenon_L152_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H52 | zenon_intro zenon_H1ae ]. % 0.93/1.16 apply (zenon_L21_); trivial. % 0.93/1.16 exact (zenon_H1ad zenon_H1ae). % 0.93/1.16 (* end of lemma zenon_L154_ *) % 0.93/1.16 assert (zenon_L155_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp31)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6e zenon_H1 zenon_H1a2 zenon_Hfc zenon_Hc8 zenon_Hc6 zenon_Hc7 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 0.93/1.16 apply (zenon_L154_); trivial. % 0.93/1.16 exact (zenon_H1 zenon_H2). % 0.93/1.16 (* end of lemma zenon_L155_ *) % 0.93/1.16 assert (zenon_L156_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_Hc7 zenon_Hc6 zenon_Hc8 zenon_H1a2 zenon_H1 zenon_H6e. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 0.93/1.16 apply (zenon_L155_); trivial. % 0.93/1.16 apply (zenon_L69_); trivial. % 0.93/1.16 (* end of lemma zenon_L156_ *) % 0.93/1.16 assert (zenon_L157_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a134)) -> (c1_1 (a134)) -> (c3_1 (a134)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H102 zenon_H10 zenon_H1b1 zenon_H1b2 zenon_H1b3. % 0.93/1.16 generalize (zenon_H102 (a134)). zenon_intro zenon_H1b4. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b5 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.93/1.16 exact (zenon_H1b7 zenon_H1b1). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1b8 ]. % 0.93/1.16 exact (zenon_H1b9 zenon_H1b2). % 0.93/1.16 exact (zenon_H1b8 zenon_H1b3). % 0.93/1.16 (* end of lemma zenon_L157_ *) % 0.93/1.16 assert (zenon_L158_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H177 zenon_H10 zenon_H102 zenon_H1b1 zenon_H1b3 zenon_H1ba. % 0.93/1.16 generalize (zenon_H177 (a134)). zenon_intro zenon_H1bb. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bc ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1bd ]. % 0.93/1.16 apply (zenon_L157_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1be | zenon_intro zenon_H1b8 ]. % 0.93/1.16 exact (zenon_H1ba zenon_H1be). % 0.93/1.16 exact (zenon_H1b8 zenon_H1b3). % 0.93/1.16 (* end of lemma zenon_L158_ *) % 0.93/1.16 assert (zenon_L159_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H11 zenon_H10 zenon_H102 zenon_H1b1 zenon_H1b3. % 0.93/1.16 generalize (zenon_H11 (a134)). zenon_intro zenon_H1bf. % 0.93/1.16 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c0 ]. % 0.93/1.16 exact (zenon_Hf zenon_H10). % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1c1 ]. % 0.93/1.16 apply (zenon_L157_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b8 ]. % 0.93/1.16 exact (zenon_H1b7 zenon_H1b1). % 0.93/1.16 exact (zenon_H1b8 zenon_H1b3). % 0.93/1.16 (* end of lemma zenon_L159_ *) % 0.93/1.16 assert (zenon_L160_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c2_1 (a134))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> False). % 0.93/1.16 do 0 intro. intros zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H1ba zenon_H10 zenon_H102 zenon_H1b1 zenon_H1b3. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 0.93/1.16 apply (zenon_L132_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 0.93/1.16 apply (zenon_L158_); trivial. % 0.93/1.16 apply (zenon_L159_); trivial. % 0.93/1.16 (* end of lemma zenon_L160_ *) % 0.93/1.16 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1c2 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hdf zenon_Hde zenon_Hdd zenon_H188 zenon_H195 zenon_H194 zenon_H193. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 0.93/1.16 apply (zenon_L28_); trivial. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 0.93/1.16 apply (zenon_L54_); trivial. % 0.93/1.16 apply (zenon_L160_); trivial. % 0.93/1.16 (* end of lemma zenon_L161_ *) % 0.93/1.16 assert (zenon_L162_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H6e zenon_H1 zenon_H1a2 zenon_Hc8 zenon_Hc6 zenon_Hc7 zenon_H26 zenon_H25 zenon_H24 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 0.93/1.16 apply (zenon_L156_); trivial. % 0.93/1.16 apply (zenon_L161_); trivial. % 0.93/1.16 (* end of lemma zenon_L162_ *) % 0.93/1.16 assert (zenon_L163_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H1a2 zenon_H1af zenon_H10d zenon_H111 zenon_H6e zenon_H1 zenon_H24 zenon_H25 zenon_H26 zenon_H6a zenon_Hd zenon_Hd3 zenon_Hcf zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H22 zenon_Hd9. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.16 apply (zenon_L150_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 0.93/1.16 apply (zenon_L56_); trivial. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_L49_); trivial. % 0.93/1.16 apply (zenon_L162_); trivial. % 0.93/1.16 (* end of lemma zenon_L163_ *) % 0.93/1.16 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H6c zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H11c zenon_Hbf zenon_H121. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 0.93/1.16 apply (zenon_L113_); trivial. % 0.93/1.16 apply (zenon_L141_); trivial. % 0.93/1.16 (* end of lemma zenon_L164_ *) % 0.93/1.16 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1d zenon_H94 zenon_H146 zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H74. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L78_); trivial. % 0.93/1.16 apply (zenon_L164_); trivial. % 0.93/1.16 apply (zenon_L127_); trivial. % 0.93/1.16 (* end of lemma zenon_L165_ *) % 0.93/1.16 assert (zenon_L166_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 0.93/1.16 do 0 intro. intros zenon_Hd8 zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 0.93/1.16 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 0.93/1.16 apply (zenon_L78_); trivial. % 0.93/1.16 apply (zenon_L145_); trivial. % 0.93/1.16 (* end of lemma zenon_L166_ *) % 0.93/1.16 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H5c zenon_Hd zenon_H1 zenon_H74 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H127 zenon_Haf zenon_H146 zenon_H94 zenon_H22. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 0.93/1.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 0.93/1.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 0.93/1.16 apply (zenon_L7_); trivial. % 0.93/1.16 apply (zenon_L165_); trivial. % 0.93/1.16 apply (zenon_L166_); trivial. % 0.93/1.16 (* end of lemma zenon_L167_ *) % 0.93/1.16 assert (zenon_L168_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a110))/\((~(c1_1 (a110)))/\(~(c3_1 (a110))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp5)\/((hskp4)\/(hskp9))) -> False). % 0.93/1.16 do 0 intro. intros zenon_H1c6 zenon_H192 zenon_H18f zenon_H127 zenon_H146 zenon_Hdc zenon_H5c zenon_H87 zenon_H85 zenon_H90 zenon_Hd zenon_H74 zenon_H18d zenon_H188 zenon_H173 zenon_H1a2 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H31 zenon_H99 zenon_Hc1 zenon_Haf zenon_H94 zenon_Hd9 zenon_H6a zenon_H6e zenon_H10d zenon_H1af zenon_H1c5 zenon_H126 zenon_H19c zenon_H195 zenon_H194 zenon_H193 zenon_H1e zenon_H22 zenon_H1 zenon_H3 zenon_H7. % 0.93/1.16 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.17 apply (zenon_L134_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.17 apply (zenon_L149_); trivial. % 1.00/1.17 apply (zenon_L163_); trivial. % 1.00/1.17 apply (zenon_L167_); trivial. % 1.00/1.17 (* end of lemma zenon_L168_ *) % 1.00/1.17 assert (zenon_L169_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp21)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H87 zenon_H161 zenon_H15f zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H163 zenon_H9 zenon_H85. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H5e | zenon_intro zenon_H164 ]. % 1.00/1.17 apply (zenon_L47_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H160 | zenon_intro zenon_H162 ]. % 1.00/1.17 exact (zenon_H15f zenon_H160). % 1.00/1.17 exact (zenon_H161 zenon_H162). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_Ha | zenon_intro zenon_H86 ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_H85 zenon_H86). % 1.00/1.17 (* end of lemma zenon_L169_ *) % 1.00/1.17 assert (zenon_L170_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (c0_1 (a128)) -> (c1_1 (a128)) -> (c2_1 (a128)) -> (~(hskp31)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6e zenon_H1 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H165 zenon_H166 zenon_H16e zenon_Hfc zenon_H1a2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_L136_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L170_ *) % 1.00/1.17 assert (zenon_L171_ : (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1ca zenon_H10 zenon_H9b zenon_H103 zenon_H105. % 1.00/1.17 generalize (zenon_H1ca (a141)). zenon_intro zenon_H1cb. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cc ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H145 | zenon_intro zenon_H1cd ]. % 1.00/1.17 generalize (zenon_H9b (a141)). zenon_intro zenon_H13e. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_Hf | zenon_intro zenon_H13f ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H109 | zenon_intro zenon_H140 ]. % 1.00/1.17 exact (zenon_H109 zenon_H103). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.00/1.17 exact (zenon_H141 zenon_H145). % 1.00/1.17 exact (zenon_H10a zenon_H105). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 1.00/1.17 exact (zenon_H109 zenon_H103). % 1.00/1.17 exact (zenon_H10a zenon_H105). % 1.00/1.17 (* end of lemma zenon_L171_ *) % 1.00/1.17 assert (zenon_L172_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (c1_1 (a141)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1ce zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_H104 zenon_H10 zenon_H9b zenon_H103 zenon_H105. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.17 apply (zenon_L23_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.17 apply (zenon_L86_); trivial. % 1.00/1.17 apply (zenon_L171_); trivial. % 1.00/1.17 (* end of lemma zenon_L172_ *) % 1.00/1.17 assert (zenon_L173_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a108))) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H3a zenon_H10 zenon_H1d0 zenon_Ha5 zenon_H1d1 zenon_H1d2. % 1.00/1.17 generalize (zenon_H3a (a108)). zenon_intro zenon_H1d3. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d4 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 1.00/1.17 exact (zenon_H1d0 zenon_H1d6). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d7 ]. % 1.00/1.17 generalize (zenon_Ha5 (a108)). zenon_intro zenon_H1d9. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1da ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 1.00/1.17 exact (zenon_H1dc zenon_H1d1). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1d7 ]. % 1.00/1.17 exact (zenon_H1dd zenon_H1d8). % 1.00/1.17 exact (zenon_H1d7 zenon_H1d2). % 1.00/1.17 exact (zenon_H1d7 zenon_H1d2). % 1.00/1.17 (* end of lemma zenon_L173_ *) % 1.00/1.17 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H174 zenon_H111 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H1ce zenon_H10d zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H1 zenon_H6e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_L170_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L172_); trivial. % 1.00/1.17 apply (zenon_L173_); trivial. % 1.00/1.17 apply (zenon_L68_); trivial. % 1.00/1.17 exact (zenon_H1 zenon_H2). % 1.00/1.17 (* end of lemma zenon_L174_ *) % 1.00/1.17 assert (zenon_L175_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H173 zenon_H111 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H1ce zenon_H10d zenon_H1a2 zenon_H1 zenon_H6e zenon_H163 zenon_H161 zenon_H26 zenon_H25 zenon_H24 zenon_H10 zenon_H9 zenon_H85 zenon_H87. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.17 apply (zenon_L169_); trivial. % 1.00/1.17 apply (zenon_L174_); trivial. % 1.00/1.17 (* end of lemma zenon_L175_ *) % 1.00/1.17 assert (zenon_L176_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c2_1 (a118)) -> (c3_1 (a118)) -> (c1_1 (a118)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H19e zenon_H10 zenon_H1de zenon_Ha7 zenon_Ha8 zenon_Ha6. % 1.00/1.17 generalize (zenon_H19e (a118)). zenon_intro zenon_H1df. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e0 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 1.00/1.17 generalize (zenon_H1de (a118)). zenon_intro zenon_H1e3. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e4 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e5 | zenon_intro zenon_Hab ]. % 1.00/1.17 exact (zenon_H1e2 zenon_H1e5). % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 1.00/1.17 exact (zenon_Hae zenon_Ha7). % 1.00/1.17 exact (zenon_Had zenon_Ha8). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hac | zenon_intro zenon_Hae ]. % 1.00/1.17 exact (zenon_Hac zenon_Ha6). % 1.00/1.17 exact (zenon_Hae zenon_Ha7). % 1.00/1.17 (* end of lemma zenon_L176_ *) % 1.00/1.17 assert (zenon_L177_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (c0_1 (a141)) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H105 zenon_H104 zenon_H103 zenon_H10 zenon_H33. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.17 apply (zenon_L19_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.17 apply (zenon_L68_); trivial. % 1.00/1.17 exact (zenon_H33 zenon_H34). % 1.00/1.17 (* end of lemma zenon_L177_ *) % 1.00/1.17 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp8)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H10c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H33 zenon_H39 zenon_H3b zenon_H3c zenon_H1e6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L177_); trivial. % 1.00/1.17 apply (zenon_L68_); trivial. % 1.00/1.17 (* end of lemma zenon_L178_ *) % 1.00/1.17 assert (zenon_L179_ : (forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1e8 zenon_H10 zenon_H102 zenon_H165 zenon_H166. % 1.00/1.17 generalize (zenon_H1e8 (a128)). zenon_intro zenon_H1e9. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ea ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H167 | zenon_intro zenon_H1eb ]. % 1.00/1.17 apply (zenon_L106_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H16b | zenon_intro zenon_H16d ]. % 1.00/1.17 exact (zenon_H16b zenon_H165). % 1.00/1.17 exact (zenon_H16d zenon_H166). % 1.00/1.17 (* end of lemma zenon_L179_ *) % 1.00/1.17 assert (zenon_L180_ : (~(hskp22)) -> (hskp22) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1ec zenon_H1ed. % 1.00/1.17 exact (zenon_H1ec zenon_H1ed). % 1.00/1.17 (* end of lemma zenon_L180_ *) % 1.00/1.17 assert (zenon_L181_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H1ec. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 1.00/1.17 apply (zenon_L159_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1ed ]. % 1.00/1.17 apply (zenon_L179_); trivial. % 1.00/1.17 exact (zenon_H1ec zenon_H1ed). % 1.00/1.17 (* end of lemma zenon_L181_ *) % 1.00/1.17 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp22)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H174 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H17a zenon_H179 zenon_H178 zenon_H39 zenon_H3b zenon_H3c zenon_H188 zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H1ec. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L117_); trivial. % 1.00/1.17 apply (zenon_L181_); trivial. % 1.00/1.17 (* end of lemma zenon_L182_ *) % 1.00/1.17 assert (zenon_L183_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1b1 zenon_H1b3 zenon_H1ec zenon_H1ee zenon_H178 zenon_H179 zenon_H17a zenon_H188 zenon_H87 zenon_H85 zenon_H9 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H97 zenon_H1f0 zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H33 zenon_H3c zenon_H3b zenon_H39 zenon_H10d zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.17 apply (zenon_L47_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.17 apply (zenon_L176_); trivial. % 1.00/1.17 exact (zenon_Hfc zenon_Hfd). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.17 exact (zenon_H15f zenon_H160). % 1.00/1.17 exact (zenon_H97 zenon_H98). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_Ha | zenon_intro zenon_H86 ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_H85 zenon_H86). % 1.00/1.17 apply (zenon_L178_); trivial. % 1.00/1.17 apply (zenon_L182_); trivial. % 1.00/1.17 (* end of lemma zenon_L183_ *) % 1.00/1.17 assert (zenon_L184_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c2_1 (a145))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1f2 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5. % 1.00/1.17 generalize (zenon_H1f2 (a145)). zenon_intro zenon_H1f6. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f7 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 1.00/1.17 exact (zenon_H1f3 zenon_H1f9). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 1.00/1.17 exact (zenon_H1f4 zenon_H1fb). % 1.00/1.17 exact (zenon_H1f5 zenon_H1fa). % 1.00/1.17 (* end of lemma zenon_L184_ *) % 1.00/1.17 assert (zenon_L185_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp0)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_H78 zenon_H77 zenon_H76 zenon_H85. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.17 apply (zenon_L184_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 exact (zenon_H85 zenon_H86). % 1.00/1.17 (* end of lemma zenon_L185_ *) % 1.00/1.17 assert (zenon_L186_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H18a zenon_H201 zenon_H1fd zenon_H35 zenon_H33 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_H1f0 zenon_H97 zenon_H24 zenon_H25 zenon_H26 zenon_H1a2 zenon_H85 zenon_H87 zenon_H188 zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H173 zenon_Hbf zenon_H6d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.17 apply (zenon_L18_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_L64_); trivial. % 1.00/1.17 apply (zenon_L183_); trivial. % 1.00/1.17 apply (zenon_L185_); trivial. % 1.00/1.17 (* end of lemma zenon_L186_ *) % 1.00/1.17 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1c2 zenon_H18d zenon_H201 zenon_H1fd zenon_H35 zenon_H33 zenon_Hfa zenon_Hdf zenon_Hde zenon_Hdd zenon_H1e6 zenon_H1f0 zenon_H97 zenon_H188 zenon_H1ee zenon_Hbf zenon_H6d zenon_H87 zenon_H85 zenon_H9 zenon_H24 zenon_H25 zenon_H26 zenon_H163 zenon_H6e zenon_H1 zenon_H1a2 zenon_H10d zenon_H1ce zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H111 zenon_H173. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.17 apply (zenon_L175_); trivial. % 1.00/1.17 apply (zenon_L186_); trivial. % 1.00/1.17 (* end of lemma zenon_L187_ *) % 1.00/1.17 assert (zenon_L188_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H18d zenon_H201 zenon_H1fd zenon_H35 zenon_H33 zenon_Hfa zenon_H1e6 zenon_H1f0 zenon_H97 zenon_H188 zenon_H1ee zenon_Hbf zenon_H6d zenon_H87 zenon_H85 zenon_H9 zenon_H163 zenon_H1ce zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H173 zenon_H6e zenon_H1 zenon_H1a2 zenon_Hc8 zenon_Hc6 zenon_Hc7 zenon_H26 zenon_H25 zenon_H24 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.17 apply (zenon_L156_); trivial. % 1.00/1.17 apply (zenon_L187_); trivial. % 1.00/1.17 (* end of lemma zenon_L188_ *) % 1.00/1.17 assert (zenon_L189_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H111 zenon_H10d zenon_H1af zenon_H1a2 zenon_H173 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H1ce zenon_H163 zenon_H85 zenon_H87 zenon_H6d zenon_H1ee zenon_H188 zenon_H1f0 zenon_H1e6 zenon_Hfa zenon_H33 zenon_H35 zenon_H1fd zenon_H201 zenon_H18d zenon_H1c5 zenon_H6e zenon_H1 zenon_H24 zenon_H25 zenon_H26 zenon_H6a zenon_Hd zenon_Hd3 zenon_Hcf zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H22 zenon_Hd9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.17 apply (zenon_L150_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.17 apply (zenon_L56_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_L49_); trivial. % 1.00/1.17 apply (zenon_L188_); trivial. % 1.00/1.17 apply (zenon_L75_); trivial. % 1.00/1.17 (* end of lemma zenon_L189_ *) % 1.00/1.17 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a110))/\((~(c1_1 (a110)))/\(~(c3_1 (a110))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp5)\/((hskp4)\/(hskp9))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H202 zenon_H1c6 zenon_H192 zenon_H18f zenon_H127 zenon_H146 zenon_Hdc zenon_H5c zenon_H87 zenon_H85 zenon_H90 zenon_Hd zenon_H74 zenon_H18d zenon_H188 zenon_H173 zenon_H1a2 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H31 zenon_H99 zenon_Hc1 zenon_Haf zenon_H94 zenon_Hd9 zenon_H6a zenon_H6e zenon_H10d zenon_H1af zenon_H1c5 zenon_H126 zenon_H19c zenon_H1e zenon_H22 zenon_H1 zenon_H3 zenon_H7. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.17 apply (zenon_L168_); trivial. % 1.00/1.17 (* end of lemma zenon_L190_ *) % 1.00/1.17 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a108))/\((c3_1 (a108))/\(~(c0_1 (a108)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((hskp5)\/((hskp4)\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((hskp25)\/(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a110))/\((~(c1_1 (a110)))/\(~(c3_1 (a110))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H205 zenon_H206 zenon_H19c zenon_H7 zenon_H3 zenon_H1 zenon_H18f zenon_H13c zenon_H146 zenon_H100 zenon_H11c zenon_H121 zenon_H127 zenon_H13a zenon_Hdc zenon_Hd9 zenon_Hcf zenon_Hd3 zenon_H94 zenon_H90 zenon_H85 zenon_H87 zenon_H31 zenon_H35 zenon_H6a zenon_H5c zenon_H6e zenon_H6d zenon_H74 zenon_H99 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_Hd zenon_H1e zenon_H22 zenon_H1c5 zenon_H18d zenon_H201 zenon_H1fd zenon_Hfa zenon_H1e6 zenon_H1f0 zenon_H188 zenon_H1ee zenon_H163 zenon_H1ce zenon_H173 zenon_H1a2 zenon_H1af zenon_H10d zenon_H111 zenon_H126 zenon_H155 zenon_H192 zenon_H1c6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.17 apply (zenon_L53_); trivial. % 1.00/1.17 apply (zenon_L189_); trivial. % 1.00/1.17 apply (zenon_L96_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.17 apply (zenon_L125_); trivial. % 1.00/1.17 apply (zenon_L189_); trivial. % 1.00/1.17 apply (zenon_L129_); trivial. % 1.00/1.17 apply (zenon_L190_); trivial. % 1.00/1.17 (* end of lemma zenon_L191_ *) % 1.00/1.17 assert (zenon_L192_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H132 zenon_H10 zenon_H209 zenon_H20a zenon_H20b. % 1.00/1.17 generalize (zenon_H132 (a106)). zenon_intro zenon_H20c. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_Hf | zenon_intro zenon_H20d ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ]. % 1.00/1.17 exact (zenon_H209 zenon_H20f). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 1.00/1.17 exact (zenon_H211 zenon_H20a). % 1.00/1.17 exact (zenon_H210 zenon_H20b). % 1.00/1.17 (* end of lemma zenon_L192_ *) % 1.00/1.17 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp17)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hf7 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H2f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H9c | zenon_intro zenon_H213 ]. % 1.00/1.17 apply (zenon_L60_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H132 | zenon_intro zenon_H30 ]. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 exact (zenon_H2f zenon_H30). % 1.00/1.17 (* end of lemma zenon_L193_ *) % 1.00/1.17 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hf7 zenon_H146 zenon_H78 zenon_H77 zenon_H76 zenon_H209 zenon_H20a zenon_H20b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.17 apply (zenon_L60_); trivial. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 (* end of lemma zenon_L194_ *) % 1.00/1.17 assert (zenon_L195_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H94 zenon_H146 zenon_Hea zenon_H85 zenon_He8 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.17 apply (zenon_L59_); trivial. % 1.00/1.17 apply (zenon_L193_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.17 apply (zenon_L59_); trivial. % 1.00/1.17 apply (zenon_L194_); trivial. % 1.00/1.17 (* end of lemma zenon_L195_ *) % 1.00/1.17 assert (zenon_L196_ : ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp26)) -> (~(hskp11)) -> (~(hskp4)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H214 zenon_He6 zenon_H97 zenon_H3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_He7 | zenon_intro zenon_H215 ]. % 1.00/1.17 exact (zenon_He6 zenon_He7). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H98 | zenon_intro zenon_H4 ]. % 1.00/1.17 exact (zenon_H97 zenon_H98). % 1.00/1.17 exact (zenon_H3 zenon_H4). % 1.00/1.17 (* end of lemma zenon_L196_ *) % 1.00/1.17 assert (zenon_L197_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H123 zenon_H212 zenon_H2f zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.17 apply (zenon_L196_); trivial. % 1.00/1.17 apply (zenon_L193_); trivial. % 1.00/1.17 (* end of lemma zenon_L197_ *) % 1.00/1.17 assert (zenon_L198_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H111 zenon_H10d zenon_H39 zenon_H3b zenon_H3c zenon_H33 zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_L67_); trivial. % 1.00/1.17 apply (zenon_L178_); trivial. % 1.00/1.17 (* end of lemma zenon_L198_ *) % 1.00/1.17 assert (zenon_L199_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a108))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_Ha5 zenon_H1d0 zenon_H10 zenon_H9 zenon_H95. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.17 apply (zenon_L173_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_H95 zenon_H96). % 1.00/1.17 (* end of lemma zenon_L199_ *) % 1.00/1.17 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hbc zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_H95. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L42_); trivial. % 1.00/1.17 apply (zenon_L199_); trivial. % 1.00/1.17 (* end of lemma zenon_L200_ *) % 1.00/1.17 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H33 zenon_H3c zenon_H3b zenon_H39 zenon_H10d zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L198_); trivial. % 1.00/1.17 apply (zenon_L43_); trivial. % 1.00/1.17 (* end of lemma zenon_L201_ *) % 1.00/1.17 assert (zenon_L202_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6d zenon_Hbf zenon_H111 zenon_H10d zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_Hfe zenon_H100 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H33 zenon_H35. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.17 apply (zenon_L18_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L198_); trivial. % 1.00/1.17 apply (zenon_L200_); trivial. % 1.00/1.17 apply (zenon_L201_); trivial. % 1.00/1.17 (* end of lemma zenon_L202_ *) % 1.00/1.17 assert (zenon_L203_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H48 zenon_H10 zenon_H209 zenon_H102 zenon_H20a zenon_H20b. % 1.00/1.17 generalize (zenon_H48 (a106)). zenon_intro zenon_H216. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_Hf | zenon_intro zenon_H217 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H20f | zenon_intro zenon_H218 ]. % 1.00/1.17 exact (zenon_H209 zenon_H20f). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H219 | zenon_intro zenon_H211 ]. % 1.00/1.17 generalize (zenon_H102 (a106)). zenon_intro zenon_H21a. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_Hf | zenon_intro zenon_H21b ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H211 | zenon_intro zenon_H21c ]. % 1.00/1.17 exact (zenon_H211 zenon_H20a). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H210 | zenon_intro zenon_H21d ]. % 1.00/1.17 exact (zenon_H210 zenon_H20b). % 1.00/1.17 exact (zenon_H21d zenon_H219). % 1.00/1.17 exact (zenon_H211 zenon_H20a). % 1.00/1.17 (* end of lemma zenon_L203_ *) % 1.00/1.17 assert (zenon_L204_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c2_1 (a106))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_H20b zenon_H20a zenon_H102 zenon_H209 zenon_H3a zenon_H10 zenon_H1d0 zenon_H1d1 zenon_H1d2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.17 apply (zenon_L71_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L203_); trivial. % 1.00/1.17 apply (zenon_L173_); trivial. % 1.00/1.17 (* end of lemma zenon_L204_ *) % 1.00/1.17 assert (zenon_L205_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp8)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H39 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H10 zenon_H3a zenon_H209 zenon_H20a zenon_H20b zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_H33. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.17 apply (zenon_L19_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.17 apply (zenon_L204_); trivial. % 1.00/1.17 exact (zenon_H33 zenon_H34). % 1.00/1.17 (* end of lemma zenon_L205_ *) % 1.00/1.17 assert (zenon_L206_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H10 zenon_H209 zenon_H102 zenon_H20a zenon_H20b zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_H9 zenon_H95. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.17 apply (zenon_L204_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_H95 zenon_H96). % 1.00/1.17 (* end of lemma zenon_L206_ *) % 1.00/1.17 assert (zenon_L207_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_H20b zenon_H20a zenon_H102 zenon_H209 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.17 apply (zenon_L71_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L203_); trivial. % 1.00/1.17 apply (zenon_L39_); trivial. % 1.00/1.17 (* end of lemma zenon_L207_ *) % 1.00/1.17 assert (zenon_L208_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11e zenon_H6d zenon_Hbf zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_H33 zenon_H35. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.17 apply (zenon_L18_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L205_); trivial. % 1.00/1.17 apply (zenon_L206_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L205_); trivial. % 1.00/1.17 apply (zenon_L207_); trivial. % 1.00/1.17 (* end of lemma zenon_L208_ *) % 1.00/1.17 assert (zenon_L209_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_H35 zenon_H33 zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H1e6 zenon_H10d zenon_H111 zenon_Hbf zenon_H6d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L202_); trivial. % 1.00/1.17 apply (zenon_L208_); trivial. % 1.00/1.17 (* end of lemma zenon_L209_ *) % 1.00/1.17 assert (zenon_L210_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (c0_1 (a117)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H14 zenon_H12 zenon_H9c zenon_H13 zenon_H3a zenon_H10 zenon_H1d0 zenon_H1d1 zenon_H1d2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L38_); trivial. % 1.00/1.17 apply (zenon_L173_); trivial. % 1.00/1.17 (* end of lemma zenon_L210_ *) % 1.00/1.17 assert (zenon_L211_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H146 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H3a zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H10 zenon_H209 zenon_H20a zenon_H20b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.17 apply (zenon_L210_); trivial. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 (* end of lemma zenon_L211_ *) % 1.00/1.17 assert (zenon_L212_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc2 zenon_H146 zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H209 zenon_H20a zenon_H20b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.17 apply (zenon_L40_); trivial. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 (* end of lemma zenon_L212_ *) % 1.00/1.17 assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H10d zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_L84_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L211_); trivial. % 1.00/1.17 apply (zenon_L68_); trivial. % 1.00/1.17 apply (zenon_L212_); trivial. % 1.00/1.17 (* end of lemma zenon_L213_ *) % 1.00/1.17 assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H13c zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H10d zenon_H111 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_L197_); trivial. % 1.00/1.17 apply (zenon_L213_); trivial. % 1.00/1.17 (* end of lemma zenon_L214_ *) % 1.00/1.17 assert (zenon_L215_ : (~(hskp1)) -> (hskp1) -> False). % 1.00/1.17 do 0 intro. intros zenon_H21e zenon_H21f. % 1.00/1.17 exact (zenon_H21e zenon_H21f). % 1.00/1.17 (* end of lemma zenon_L215_ *) % 1.00/1.17 assert (zenon_L216_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp24)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H220 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H21e zenon_Hfe. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H132 | zenon_intro zenon_H221 ]. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21f | zenon_intro zenon_Hff ]. % 1.00/1.17 exact (zenon_H21e zenon_H21f). % 1.00/1.17 exact (zenon_Hfe zenon_Hff). % 1.00/1.17 (* end of lemma zenon_L216_ *) % 1.00/1.17 assert (zenon_L217_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_H4b zenon_H4a zenon_H49 zenon_H3a zenon_H10 zenon_H1d0 zenon_H1d1 zenon_H1d2. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.17 apply (zenon_L71_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.17 apply (zenon_L20_); trivial. % 1.00/1.17 apply (zenon_L173_); trivial. % 1.00/1.17 (* end of lemma zenon_L217_ *) % 1.00/1.17 assert (zenon_L218_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H4b zenon_H4a zenon_H49 zenon_H9 zenon_Hfa. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.17 apply (zenon_L217_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 exact (zenon_H95 zenon_H96). % 1.00/1.17 apply (zenon_L72_); trivial. % 1.00/1.17 (* end of lemma zenon_L218_ *) % 1.00/1.17 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L216_); trivial. % 1.00/1.17 apply (zenon_L218_); trivial. % 1.00/1.17 (* end of lemma zenon_L219_ *) % 1.00/1.17 assert (zenon_L220_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L78_); trivial. % 1.00/1.17 apply (zenon_L219_); trivial. % 1.00/1.17 (* end of lemma zenon_L220_ *) % 1.00/1.17 assert (zenon_L221_ : (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (c0_1 (a131)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a131)) -> (c2_1 (a131)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H19e zenon_H10 zenon_Hb3 zenon_H11 zenon_Hb5 zenon_Hb4. % 1.00/1.17 generalize (zenon_H19e (a131)). zenon_intro zenon_H222. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_Hf | zenon_intro zenon_H223 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H224 ]. % 1.00/1.17 exact (zenon_Hb9 zenon_Hb3). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H15e | zenon_intro zenon_Hbb ]. % 1.00/1.17 generalize (zenon_H11 (a131)). zenon_intro zenon_H225. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_Hf | zenon_intro zenon_H226 ]. % 1.00/1.17 exact (zenon_Hf zenon_H10). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H15a | zenon_intro zenon_H227 ]. % 1.00/1.17 exact (zenon_H15e zenon_H15a). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ]. % 1.00/1.17 exact (zenon_Hb9 zenon_Hb3). % 1.00/1.17 exact (zenon_Hba zenon_Hb5). % 1.00/1.17 exact (zenon_Hbb zenon_Hb4). % 1.00/1.17 (* end of lemma zenon_L221_ *) % 1.00/1.17 assert (zenon_L222_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59)))))) -> (~(hskp31)) -> (~(hskp28)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H13c zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H10 zenon_H19e zenon_Hfc zenon_H95. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ]. % 1.00/1.17 apply (zenon_L221_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hfd | zenon_intro zenon_H96 ]. % 1.00/1.17 exact (zenon_Hfc zenon_Hfd). % 1.00/1.17 exact (zenon_H95 zenon_H96). % 1.00/1.17 (* end of lemma zenon_L222_ *) % 1.00/1.17 assert (zenon_L223_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a131)) -> (c3_1 (a131)) -> (c2_1 (a131)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp31)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1a2 zenon_H102 zenon_H95 zenon_H10 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H13c zenon_Hfc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.17 apply (zenon_L100_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.17 apply (zenon_L222_); trivial. % 1.00/1.17 exact (zenon_Hfc zenon_Hfd). % 1.00/1.17 (* end of lemma zenon_L223_ *) % 1.00/1.17 assert (zenon_L224_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp31)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (ndr1_0) -> (~(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp13)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_Hfc zenon_H13c zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H10 zenon_H95 zenon_H1a2 zenon_Hb. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.00/1.17 apply (zenon_L97_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.00/1.17 apply (zenon_L223_); trivial. % 1.00/1.17 exact (zenon_Hb zenon_Hc). % 1.00/1.17 (* end of lemma zenon_L224_ *) % 1.00/1.17 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hbc zenon_H111 zenon_H14c zenon_H14d zenon_H14e zenon_H1a2 zenon_H95 zenon_H13c zenon_Hb zenon_H155. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.17 apply (zenon_L224_); trivial. % 1.00/1.17 apply (zenon_L98_); trivial. % 1.00/1.17 (* end of lemma zenon_L225_ *) % 1.00/1.17 assert (zenon_L226_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc0 zenon_H1a2 zenon_H95 zenon_H13c zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L99_); trivial. % 1.00/1.17 apply (zenon_L225_); trivial. % 1.00/1.17 (* end of lemma zenon_L226_ *) % 1.00/1.17 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L99_); trivial. % 1.00/1.17 apply (zenon_L43_); trivial. % 1.00/1.17 (* end of lemma zenon_L227_ *) % 1.00/1.17 assert (zenon_L228_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hbf zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_L226_); trivial. % 1.00/1.17 apply (zenon_L227_); trivial. % 1.00/1.17 (* end of lemma zenon_L228_ *) % 1.00/1.17 assert (zenon_L229_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp13)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H10 zenon_H3a zenon_H209 zenon_H20a zenon_H20b zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_Hb. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.00/1.17 apply (zenon_L97_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.00/1.17 apply (zenon_L204_); trivial. % 1.00/1.17 exact (zenon_Hb zenon_Hc). % 1.00/1.17 (* end of lemma zenon_L229_ *) % 1.00/1.17 assert (zenon_L230_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp13)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc2 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H209 zenon_H20a zenon_H20b zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_Hb. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.00/1.17 apply (zenon_L97_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.00/1.17 apply (zenon_L207_); trivial. % 1.00/1.17 exact (zenon_Hb zenon_Hc). % 1.00/1.17 (* end of lemma zenon_L230_ *) % 1.00/1.17 assert (zenon_L231_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Haf zenon_Hbf. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L228_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L229_); trivial. % 1.00/1.17 apply (zenon_L206_); trivial. % 1.00/1.17 apply (zenon_L230_); trivial. % 1.00/1.17 (* end of lemma zenon_L231_ *) % 1.00/1.17 assert (zenon_L232_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H94 zenon_H121 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Haf zenon_Hbf zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_L197_); trivial. % 1.00/1.17 apply (zenon_L231_); trivial. % 1.00/1.17 (* end of lemma zenon_L232_ *) % 1.00/1.17 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp12)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hd8 zenon_H13a zenon_H20b zenon_H20a zenon_H209 zenon_H8d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H132 | zenon_intro zenon_H13b ]. % 1.00/1.17 apply (zenon_L192_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H52 | zenon_intro zenon_H8e ]. % 1.00/1.17 apply (zenon_L21_); trivial. % 1.00/1.17 exact (zenon_H8d zenon_H8e). % 1.00/1.17 (* end of lemma zenon_L233_ *) % 1.00/1.17 assert (zenon_L234_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H10d zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_H78 zenon_H77 zenon_H76 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_L64_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.17 apply (zenon_L28_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.17 apply (zenon_L54_); trivial. % 1.00/1.17 apply (zenon_L207_); trivial. % 1.00/1.17 (* end of lemma zenon_L234_ *) % 1.00/1.17 assert (zenon_L235_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L70_); trivial. % 1.00/1.17 apply (zenon_L234_); trivial. % 1.00/1.17 (* end of lemma zenon_L235_ *) % 1.00/1.17 assert (zenon_L236_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H94 zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_L197_); trivial. % 1.00/1.17 apply (zenon_L235_); trivial. % 1.00/1.17 (* end of lemma zenon_L236_ *) % 1.00/1.17 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H8f zenon_Hbf zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_L85_); trivial. % 1.00/1.17 apply (zenon_L212_); trivial. % 1.00/1.17 (* end of lemma zenon_L237_ *) % 1.00/1.17 assert (zenon_L238_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H122 zenon_H22 zenon_H146 zenon_H13c zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.17 apply (zenon_L236_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.17 apply (zenon_L197_); trivial. % 1.00/1.17 apply (zenon_L237_); trivial. % 1.00/1.17 (* end of lemma zenon_L238_ *) % 1.00/1.17 assert (zenon_L239_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H126 zenon_H22 zenon_H146 zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Haf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H10d zenon_Hfa zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H121 zenon_H94 zenon_H13a zenon_Hdc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.17 apply (zenon_L232_); trivial. % 1.00/1.17 apply (zenon_L214_); trivial. % 1.00/1.17 apply (zenon_L233_); trivial. % 1.00/1.17 apply (zenon_L238_); trivial. % 1.00/1.17 (* end of lemma zenon_L239_ *) % 1.00/1.17 assert (zenon_L240_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H4b zenon_H4a zenon_H49 zenon_H9 zenon_Hfa zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L110_); trivial. % 1.00/1.17 apply (zenon_L218_); trivial. % 1.00/1.17 (* end of lemma zenon_L240_ *) % 1.00/1.17 assert (zenon_L241_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H18a zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H4b zenon_H4a zenon_H49 zenon_H9 zenon_Hfa zenon_H35 zenon_H33 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H188 zenon_Hc0 zenon_H6d. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.17 apply (zenon_L119_); trivial. % 1.00/1.17 apply (zenon_L218_); trivial. % 1.00/1.17 (* end of lemma zenon_L241_ *) % 1.00/1.17 assert (zenon_L242_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H9 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.17 apply (zenon_L78_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.18 apply (zenon_L240_); trivial. % 1.00/1.18 apply (zenon_L241_); trivial. % 1.00/1.18 (* end of lemma zenon_L242_ *) % 1.00/1.18 assert (zenon_L243_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hbf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H76 zenon_H77 zenon_H78 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L99_); trivial. % 1.00/1.18 apply (zenon_L200_); trivial. % 1.00/1.18 apply (zenon_L227_); trivial. % 1.00/1.18 (* end of lemma zenon_L243_ *) % 1.00/1.18 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hbf. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L243_); trivial. % 1.00/1.18 apply (zenon_L218_); trivial. % 1.00/1.18 (* end of lemma zenon_L244_ *) % 1.00/1.18 assert (zenon_L245_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_L244_); trivial. % 1.00/1.18 (* end of lemma zenon_L245_ *) % 1.00/1.18 assert (zenon_L246_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H22 zenon_H146 zenon_H13c zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Haf zenon_H94. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L242_); trivial. % 1.00/1.18 apply (zenon_L245_); trivial. % 1.00/1.18 apply (zenon_L128_); trivial. % 1.00/1.18 (* end of lemma zenon_L246_ *) % 1.00/1.18 assert (zenon_L247_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hcf zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H102 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H2f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 1.00/1.18 apply (zenon_L100_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 1.00/1.18 apply (zenon_L45_); trivial. % 1.00/1.18 exact (zenon_H2f zenon_H30). % 1.00/1.18 (* end of lemma zenon_L247_ *) % 1.00/1.18 assert (zenon_L248_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_Hcf zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L99_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.00/1.18 apply (zenon_L97_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.00/1.18 apply (zenon_L247_); trivial. % 1.00/1.18 exact (zenon_Hb zenon_Hc). % 1.00/1.18 (* end of lemma zenon_L248_ *) % 1.00/1.18 assert (zenon_L249_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_Hfa zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hc0 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L248_); trivial. % 1.00/1.18 apply (zenon_L218_); trivial. % 1.00/1.18 (* end of lemma zenon_L249_ *) % 1.00/1.18 assert (zenon_L250_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H94 zenon_H90 zenon_H8d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hfa zenon_H9 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H74. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L249_); trivial. % 1.00/1.18 apply (zenon_L50_); trivial. % 1.00/1.18 (* end of lemma zenon_L250_ *) % 1.00/1.18 assert (zenon_L251_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_H2f zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hc0 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L248_); trivial. % 1.00/1.18 apply (zenon_L112_); trivial. % 1.00/1.18 (* end of lemma zenon_L251_ *) % 1.00/1.18 assert (zenon_L252_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H22 zenon_H146 zenon_H13c zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Haf zenon_H10d zenon_Hdd zenon_Hde zenon_Hdf zenon_H94. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L242_); trivial. % 1.00/1.18 apply (zenon_L82_); trivial. % 1.00/1.18 apply (zenon_L128_); trivial. % 1.00/1.18 (* end of lemma zenon_L252_ *) % 1.00/1.18 assert (zenon_L253_ : (forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H112 zenon_H10 zenon_H38 zenon_H14c zenon_H14e zenon_H14d. % 1.00/1.18 generalize (zenon_H112 (a111)). zenon_intro zenon_H228. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_Hf | zenon_intro zenon_H229 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22a | zenon_intro zenon_H151 ]. % 1.00/1.18 generalize (zenon_H38 (a111)). zenon_intro zenon_H22b. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_Hf | zenon_intro zenon_H22c ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H152 | zenon_intro zenon_H22d ]. % 1.00/1.18 exact (zenon_H14c zenon_H152). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H153 | zenon_intro zenon_H22e ]. % 1.00/1.18 exact (zenon_H14e zenon_H153). % 1.00/1.18 exact (zenon_H22e zenon_H22a). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H154 | zenon_intro zenon_H153 ]. % 1.00/1.18 exact (zenon_H14d zenon_H154). % 1.00/1.18 exact (zenon_H14e zenon_H153). % 1.00/1.18 (* end of lemma zenon_L253_ *) % 1.00/1.18 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hc2 zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.18 apply (zenon_L253_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L20_); trivial. % 1.00/1.18 apply (zenon_L39_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L20_); trivial. % 1.00/1.18 apply (zenon_L21_); trivial. % 1.00/1.18 (* end of lemma zenon_L254_ *) % 1.00/1.18 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6c zenon_Hbf zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L64_); trivial. % 1.00/1.18 apply (zenon_L254_); trivial. % 1.00/1.18 (* end of lemma zenon_L255_ *) % 1.00/1.18 assert (zenon_L256_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H74 zenon_Hbf zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_L255_); trivial. % 1.00/1.18 (* end of lemma zenon_L256_ *) % 1.00/1.18 assert (zenon_L257_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60)))))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1f2 zenon_H10 zenon_H1a4 zenon_H113 zenon_H115 zenon_H114. % 1.00/1.18 generalize (zenon_H1f2 (a163)). zenon_intro zenon_H22f. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_Hf | zenon_intro zenon_H230 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 1.00/1.18 generalize (zenon_H1a4 (a163)). zenon_intro zenon_H233. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_Hf | zenon_intro zenon_H234 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H119 | zenon_intro zenon_H235 ]. % 1.00/1.18 exact (zenon_H113 zenon_H119). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H11a | zenon_intro zenon_H236 ]. % 1.00/1.18 exact (zenon_H115 zenon_H11a). % 1.00/1.18 exact (zenon_H236 zenon_H232). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H119 | zenon_intro zenon_H11b ]. % 1.00/1.18 exact (zenon_H113 zenon_H119). % 1.00/1.18 exact (zenon_H114 zenon_H11b). % 1.00/1.18 (* end of lemma zenon_L257_ *) % 1.00/1.18 assert (zenon_L258_ : (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c1_1 (a141)) -> (c2_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Ha5 zenon_H10 zenon_H104 zenon_H145 zenon_H105. % 1.00/1.18 generalize (zenon_Ha5 (a141)). zenon_intro zenon_H237. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_Hf | zenon_intro zenon_H238 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H10b | zenon_intro zenon_H140 ]. % 1.00/1.18 exact (zenon_H10b zenon_H104). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.00/1.18 exact (zenon_H141 zenon_H145). % 1.00/1.18 exact (zenon_H10a zenon_H105). % 1.00/1.18 (* end of lemma zenon_L258_ *) % 1.00/1.18 assert (zenon_L259_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H239 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105. % 1.00/1.18 generalize (zenon_H239 (a141)). zenon_intro zenon_H23a. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_Hf | zenon_intro zenon_H23b ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H145 | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L258_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 1.00/1.18 exact (zenon_H10b zenon_H104). % 1.00/1.18 exact (zenon_H10a zenon_H105). % 1.00/1.18 (* end of lemma zenon_L259_ *) % 1.00/1.18 assert (zenon_L260_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a117)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_H105 zenon_H104 zenon_Ha5 zenon_H10 zenon_H13 zenon_H9c zenon_H12 zenon_H14. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.18 apply (zenon_L257_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.18 apply (zenon_L259_); trivial. % 1.00/1.18 apply (zenon_L38_); trivial. % 1.00/1.18 (* end of lemma zenon_L260_ *) % 1.00/1.18 assert (zenon_L261_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(hskp17)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H212 zenon_H14 zenon_H12 zenon_H13 zenon_Ha5 zenon_H104 zenon_H105 zenon_H1f2 zenon_H113 zenon_H115 zenon_H114 zenon_H23c zenon_H129 zenon_H128 zenon_H12a zenon_H10 zenon_H38 zenon_H2f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H9c | zenon_intro zenon_H213 ]. % 1.00/1.18 apply (zenon_L260_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H132 | zenon_intro zenon_H30 ]. % 1.00/1.18 apply (zenon_L79_); trivial. % 1.00/1.18 exact (zenon_H2f zenon_H30). % 1.00/1.18 (* end of lemma zenon_L261_ *) % 1.00/1.18 assert (zenon_L262_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(hskp17)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H4b zenon_H4a zenon_H49 zenon_H212 zenon_H14 zenon_H12 zenon_H13 zenon_H104 zenon_H105 zenon_H1f2 zenon_H113 zenon_H115 zenon_H114 zenon_H23c zenon_H129 zenon_H128 zenon_H12a zenon_H10 zenon_H38 zenon_H2f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.18 apply (zenon_L253_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L20_); trivial. % 1.00/1.18 apply (zenon_L261_); trivial. % 1.00/1.18 (* end of lemma zenon_L262_ *) % 1.00/1.18 assert (zenon_L263_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp17)) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H5c zenon_H2f zenon_H12a zenon_H128 zenon_H129 zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_H105 zenon_H104 zenon_H13 zenon_H12 zenon_H14 zenon_H212 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.00/1.18 apply (zenon_L262_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L20_); trivial. % 1.00/1.18 apply (zenon_L21_); trivial. % 1.00/1.18 (* end of lemma zenon_L263_ *) % 1.00/1.18 assert (zenon_L264_ : (~(hskp3)) -> (hskp3) -> False). % 1.00/1.18 do 0 intro. intros zenon_H23e zenon_H23f. % 1.00/1.18 exact (zenon_H23e zenon_H23f). % 1.00/1.18 (* end of lemma zenon_L264_ *) % 1.00/1.18 assert (zenon_L265_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H111 zenon_H240 zenon_H3 zenon_H23e zenon_H11c zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H12a zenon_H128 zenon_H129 zenon_H2f zenon_H212 zenon_H4b zenon_H4a zenon_H49 zenon_H14d zenon_H14e zenon_H14c zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.18 apply (zenon_L84_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H241 ]. % 1.00/1.18 apply (zenon_L263_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H23f | zenon_intro zenon_H4 ]. % 1.00/1.18 exact (zenon_H23e zenon_H23f). % 1.00/1.18 exact (zenon_H3 zenon_H4). % 1.00/1.18 (* end of lemma zenon_L265_ *) % 1.00/1.18 assert (zenon_L266_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H10 zenon_H178 zenon_H3a zenon_H179 zenon_H17a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L132_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.18 apply (zenon_L114_); trivial. % 1.00/1.18 apply (zenon_L116_); trivial. % 1.00/1.18 (* end of lemma zenon_L266_ *) % 1.00/1.18 assert (zenon_L267_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hfa zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H9 zenon_H95. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.18 apply (zenon_L266_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.18 exact (zenon_H9 zenon_Ha). % 1.00/1.18 exact (zenon_H95 zenon_H96). % 1.00/1.18 (* end of lemma zenon_L267_ *) % 1.00/1.18 assert (zenon_L268_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H155 zenon_Hb zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_H14e zenon_H14d zenon_H14c zenon_H188 zenon_H17a zenon_H179 zenon_H178 zenon_H195 zenon_H194 zenon_H193 zenon_H9 zenon_Hfa. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L267_); trivial. % 1.00/1.18 apply (zenon_L230_); trivial. % 1.00/1.18 (* end of lemma zenon_L268_ *) % 1.00/1.18 assert (zenon_L269_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H18a zenon_H121 zenon_Hbf zenon_H155 zenon_Hb zenon_H11c zenon_H14e zenon_H14d zenon_H14c zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H9 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L216_); trivial. % 1.00/1.18 apply (zenon_L268_); trivial. % 1.00/1.18 (* end of lemma zenon_L269_ *) % 1.00/1.18 assert (zenon_L270_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H94 zenon_H10d zenon_H1a2 zenon_H13c zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_Hfa zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H74. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.18 apply (zenon_L78_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.18 apply (zenon_L240_); trivial. % 1.00/1.18 apply (zenon_L269_); trivial. % 1.00/1.18 apply (zenon_L231_); trivial. % 1.00/1.18 (* end of lemma zenon_L270_ *) % 1.00/1.18 assert (zenon_L271_ : (forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78)))))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H242 zenon_H10 zenon_H243 zenon_H244 zenon_H245. % 1.00/1.18 generalize (zenon_H242 (a105)). zenon_intro zenon_H246. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_Hf | zenon_intro zenon_H247 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 1.00/1.18 exact (zenon_H243 zenon_H249). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 1.00/1.18 exact (zenon_H24b zenon_H244). % 1.00/1.18 exact (zenon_H24a zenon_H245). % 1.00/1.18 (* end of lemma zenon_L271_ *) % 1.00/1.18 assert (zenon_L272_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H24c zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H2f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ]. % 1.00/1.18 apply (zenon_L9_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H242 | zenon_intro zenon_H30 ]. % 1.00/1.18 apply (zenon_L271_); trivial. % 1.00/1.18 exact (zenon_H2f zenon_H30). % 1.00/1.18 (* end of lemma zenon_L272_ *) % 1.00/1.18 assert (zenon_L273_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H5e zenon_H10 zenon_H243 zenon_H1de zenon_H244 zenon_H245. % 1.00/1.18 generalize (zenon_H5e (a105)). zenon_intro zenon_H24e. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_Hf | zenon_intro zenon_H24f ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H249 | zenon_intro zenon_H250 ]. % 1.00/1.18 exact (zenon_H243 zenon_H249). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H251 | zenon_intro zenon_H24b ]. % 1.00/1.18 generalize (zenon_H1de (a105)). zenon_intro zenon_H252. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_Hf | zenon_intro zenon_H253 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_H248 ]. % 1.00/1.18 exact (zenon_H251 zenon_H254). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 1.00/1.18 exact (zenon_H24b zenon_H244). % 1.00/1.18 exact (zenon_H24a zenon_H245). % 1.00/1.18 exact (zenon_H24b zenon_H244). % 1.00/1.18 (* end of lemma zenon_L273_ *) % 1.00/1.18 assert (zenon_L274_ : (~(hskp20)) -> (hskp20) -> False). % 1.00/1.18 do 0 intro. intros zenon_H255 zenon_H256. % 1.00/1.18 exact (zenon_H255 zenon_H256). % 1.00/1.18 (* end of lemma zenon_L274_ *) % 1.00/1.18 assert (zenon_L275_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp20)) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1f0 zenon_H255 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H15f zenon_H97. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H5e | zenon_intro zenon_H258 ]. % 1.00/1.18 apply (zenon_L273_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 1.00/1.18 apply (zenon_L9_); trivial. % 1.00/1.18 exact (zenon_H255 zenon_H256). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.18 exact (zenon_H15f zenon_H160). % 1.00/1.18 exact (zenon_H97 zenon_H98). % 1.00/1.18 (* end of lemma zenon_L275_ *) % 1.00/1.18 assert (zenon_L276_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H16e zenon_H166 zenon_H165 zenon_H10 zenon_H7f zenon_H33. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.18 apply (zenon_L19_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.18 apply (zenon_L107_); trivial. % 1.00/1.18 exact (zenon_H33 zenon_H34). % 1.00/1.18 (* end of lemma zenon_L276_ *) % 1.00/1.18 assert (zenon_L277_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H16e zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H8d. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L107_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 (* end of lemma zenon_L277_ *) % 1.00/1.18 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp12)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H174 zenon_H10d zenon_H1e6 zenon_H3c zenon_H3b zenon_H39 zenon_H33 zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H8d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L276_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 apply (zenon_L277_); trivial. % 1.00/1.18 (* end of lemma zenon_L278_ *) % 1.00/1.18 assert (zenon_L279_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6d zenon_H173 zenon_H10d zenon_H1e6 zenon_H8d zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H255 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_H33 zenon_H35. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.18 apply (zenon_L18_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.18 apply (zenon_L275_); trivial. % 1.00/1.18 apply (zenon_L278_); trivial. % 1.00/1.18 (* end of lemma zenon_L279_ *) % 1.00/1.18 assert (zenon_L280_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1a4 zenon_H10 zenon_H259 zenon_H25a zenon_H25b. % 1.00/1.18 generalize (zenon_H1a4 (a139)). zenon_intro zenon_H25c. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H25c); [ zenon_intro zenon_Hf | zenon_intro zenon_H25d ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H25e ]. % 1.00/1.18 exact (zenon_H259 zenon_H25f). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 1.00/1.18 exact (zenon_H25a zenon_H261). % 1.00/1.18 exact (zenon_H260 zenon_H25b). % 1.00/1.18 (* end of lemma zenon_L280_ *) % 1.00/1.18 assert (zenon_L281_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a117)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17)))))) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H105 zenon_H104 zenon_Ha5 zenon_H10 zenon_H13 zenon_H9c zenon_H12 zenon_H14. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.18 apply (zenon_L280_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.18 apply (zenon_L259_); trivial. % 1.00/1.18 apply (zenon_L38_); trivial. % 1.00/1.18 (* end of lemma zenon_L281_ *) % 1.00/1.18 assert (zenon_L282_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a141)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Ha5 zenon_H10 zenon_H103 zenon_H132 zenon_H104 zenon_H105. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.18 apply (zenon_L280_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.18 apply (zenon_L259_); trivial. % 1.00/1.18 apply (zenon_L86_); trivial. % 1.00/1.18 (* end of lemma zenon_L282_ *) % 1.00/1.18 assert (zenon_L283_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (ndr1_0) -> (c0_1 (a141)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H10 zenon_H103 zenon_H132 zenon_H104 zenon_H105. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L86_); trivial. % 1.00/1.18 apply (zenon_L282_); trivial. % 1.00/1.18 (* end of lemma zenon_L283_ *) % 1.00/1.18 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H10c zenon_H146 zenon_H14 zenon_H12 zenon_H13 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H25b zenon_H25a zenon_H259. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L38_); trivial. % 1.00/1.18 apply (zenon_L281_); trivial. % 1.00/1.18 apply (zenon_L283_); trivial. % 1.00/1.18 (* end of lemma zenon_L284_ *) % 1.00/1.18 assert (zenon_L285_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H111 zenon_H146 zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.18 apply (zenon_L84_); trivial. % 1.00/1.18 apply (zenon_L284_); trivial. % 1.00/1.18 (* end of lemma zenon_L285_ *) % 1.00/1.18 assert (zenon_L286_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_H100 zenon_Hfe zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H146 zenon_H111. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L285_); trivial. % 1.00/1.18 apply (zenon_L89_); trivial. % 1.00/1.18 (* end of lemma zenon_L286_ *) % 1.00/1.18 assert (zenon_L287_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a132))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H177 zenon_H10 zenon_H77 zenon_H1de zenon_H76 zenon_H78. % 1.00/1.18 generalize (zenon_H177 (a132)). zenon_intro zenon_H262. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_Hf | zenon_intro zenon_H263 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H7e | zenon_intro zenon_H264 ]. % 1.00/1.18 exact (zenon_H77 zenon_H7e). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H265 | zenon_intro zenon_H7d ]. % 1.00/1.18 generalize (zenon_H1de (a132)). zenon_intro zenon_H266. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_Hf | zenon_intro zenon_H267 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H7c | zenon_intro zenon_H268 ]. % 1.00/1.18 exact (zenon_H76 zenon_H7c). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H269 | zenon_intro zenon_H7d ]. % 1.00/1.18 exact (zenon_H269 zenon_H265). % 1.00/1.18 exact (zenon_H7d zenon_H78). % 1.00/1.18 exact (zenon_H7d zenon_H78). % 1.00/1.18 (* end of lemma zenon_L287_ *) % 1.00/1.18 assert (zenon_L288_ : (~(hskp16)) -> (hskp16) -> False). % 1.00/1.18 do 0 intro. intros zenon_H26a zenon_H26b. % 1.00/1.18 exact (zenon_H26a zenon_H26b). % 1.00/1.18 (* end of lemma zenon_L288_ *) % 1.00/1.18 assert (zenon_L289_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29)))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H26c zenon_H78 zenon_H76 zenon_H77 zenon_H177 zenon_H115 zenon_H114 zenon_H113 zenon_H10 zenon_H26a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1de | zenon_intro zenon_H26d ]. % 1.00/1.18 apply (zenon_L287_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H112 | zenon_intro zenon_H26b ]. % 1.00/1.18 apply (zenon_L71_); trivial. % 1.00/1.18 exact (zenon_H26a zenon_H26b). % 1.00/1.18 (* end of lemma zenon_L289_ *) % 1.00/1.18 assert (zenon_L290_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (~(hskp16)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H188 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H26a zenon_H113 zenon_H114 zenon_H115 zenon_H77 zenon_H76 zenon_H78 zenon_H26c zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.18 apply (zenon_L19_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.18 apply (zenon_L289_); trivial. % 1.00/1.18 apply (zenon_L9_); trivial. % 1.00/1.18 (* end of lemma zenon_L290_ *) % 1.00/1.18 assert (zenon_L291_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (c2_1 (a139)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H5e zenon_H10 zenon_H259 zenon_H25b zenon_H26e. % 1.00/1.18 generalize (zenon_H5e (a139)). zenon_intro zenon_H26f. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_Hf | zenon_intro zenon_H270 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H25f | zenon_intro zenon_H271 ]. % 1.00/1.18 exact (zenon_H259 zenon_H25f). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 1.00/1.18 exact (zenon_H260 zenon_H25b). % 1.00/1.18 exact (zenon_H272 zenon_H26e). % 1.00/1.18 (* end of lemma zenon_L291_ *) % 1.00/1.18 assert (zenon_L292_ : (forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45))))) -> (ndr1_0) -> (~(c1_1 (a139))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H112 zenon_H10 zenon_H259 zenon_H5e zenon_H25b zenon_H25a. % 1.00/1.18 generalize (zenon_H112 (a139)). zenon_intro zenon_H273. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_Hf | zenon_intro zenon_H274 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H25f | zenon_intro zenon_H275 ]. % 1.00/1.18 exact (zenon_H259 zenon_H25f). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H26e | zenon_intro zenon_H261 ]. % 1.00/1.18 apply (zenon_L291_); trivial. % 1.00/1.18 exact (zenon_H25a zenon_H261). % 1.00/1.18 (* end of lemma zenon_L292_ *) % 1.00/1.18 assert (zenon_L293_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (c2_1 (a139)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H7f zenon_H10 zenon_H25a zenon_H25b zenon_H26e. % 1.00/1.18 generalize (zenon_H7f (a139)). zenon_intro zenon_H276. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_Hf | zenon_intro zenon_H277 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H261 | zenon_intro zenon_H271 ]. % 1.00/1.18 exact (zenon_H25a zenon_H261). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ]. % 1.00/1.18 exact (zenon_H260 zenon_H25b). % 1.00/1.18 exact (zenon_H272 zenon_H26e). % 1.00/1.18 (* end of lemma zenon_L293_ *) % 1.00/1.18 assert (zenon_L294_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H48 zenon_H10 zenon_H7f zenon_H25a zenon_H25b. % 1.00/1.18 generalize (zenon_H48 (a139)). zenon_intro zenon_H278. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_Hf | zenon_intro zenon_H279 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26e | zenon_intro zenon_H25e ]. % 1.00/1.18 apply (zenon_L293_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 1.00/1.18 exact (zenon_H25a zenon_H261). % 1.00/1.18 exact (zenon_H260 zenon_H25b). % 1.00/1.18 (* end of lemma zenon_L294_ *) % 1.00/1.18 assert (zenon_L295_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11c zenon_H5e zenon_H259 zenon_H25b zenon_H25a zenon_H7f zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.18 apply (zenon_L292_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L294_); trivial. % 1.00/1.18 apply (zenon_L39_); trivial. % 1.00/1.18 (* end of lemma zenon_L295_ *) % 1.00/1.18 assert (zenon_L296_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(hskp16)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H6a zenon_H14 zenon_H13 zenon_H12 zenon_H26c zenon_H78 zenon_H76 zenon_H77 zenon_H115 zenon_H114 zenon_H113 zenon_H26a zenon_H39 zenon_H3b zenon_H3c zenon_H188 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H10 zenon_H7f zenon_H25a zenon_H25b zenon_H259 zenon_H11c zenon_H68. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.18 apply (zenon_L290_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.18 apply (zenon_L295_); trivial. % 1.00/1.18 exact (zenon_H68 zenon_H69). % 1.00/1.18 (* end of lemma zenon_L296_ *) % 1.00/1.18 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H71 zenon_Hbf zenon_H90 zenon_H8d zenon_H188 zenon_H113 zenon_H114 zenon_H115 zenon_H26a zenon_H26c zenon_H11c zenon_H25a zenon_H25b zenon_H259 zenon_H68 zenon_H6a zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H97 zenon_H99. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L37_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L296_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 (* end of lemma zenon_L297_ *) % 1.00/1.18 assert (zenon_L298_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11e zenon_H6d zenon_Hbf zenon_H90 zenon_H8d zenon_H188 zenon_H26a zenon_H26c zenon_H11c zenon_H25a zenon_H25b zenon_H259 zenon_H68 zenon_H6a zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H97 zenon_H99 zenon_H33 zenon_H35. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.18 apply (zenon_L18_); trivial. % 1.00/1.18 apply (zenon_L297_); trivial. % 1.00/1.18 (* end of lemma zenon_L298_ *) % 1.00/1.18 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27a zenon_H121 zenon_H6d zenon_H90 zenon_H8d zenon_H188 zenon_H26a zenon_H26c zenon_H11c zenon_H68 zenon_H6a zenon_H97 zenon_H99 zenon_H33 zenon_H35 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L286_); trivial. % 1.00/1.18 apply (zenon_L298_); trivial. % 1.00/1.18 (* end of lemma zenon_L299_ *) % 1.00/1.18 assert (zenon_L300_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H94 zenon_H27d zenon_H121 zenon_H188 zenon_H26a zenon_H26c zenon_H11c zenon_H68 zenon_H6a zenon_H99 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H257 zenon_H90 zenon_H8d zenon_H1e6 zenon_H10d zenon_H173 zenon_H6d zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.18 apply (zenon_L279_); trivial. % 1.00/1.18 apply (zenon_L299_); trivial. % 1.00/1.18 (* end of lemma zenon_L300_ *) % 1.00/1.18 assert (zenon_L301_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H3a zenon_H10 zenon_H132 zenon_H27e zenon_H27f zenon_H280. % 1.00/1.18 generalize (zenon_H3a (a126)). zenon_intro zenon_H281. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_Hf | zenon_intro zenon_H282 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 1.00/1.18 generalize (zenon_H132 (a126)). zenon_intro zenon_H285. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_Hf | zenon_intro zenon_H286 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ]. % 1.00/1.18 exact (zenon_H27e zenon_H288). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H28a | zenon_intro zenon_H289 ]. % 1.00/1.18 exact (zenon_H28a zenon_H284). % 1.00/1.18 exact (zenon_H289 zenon_H27f). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H288 | zenon_intro zenon_H28b ]. % 1.00/1.18 exact (zenon_H27e zenon_H288). % 1.00/1.18 exact (zenon_H28b zenon_H280). % 1.00/1.18 (* end of lemma zenon_L301_ *) % 1.00/1.18 assert (zenon_L302_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H48 zenon_H10 zenon_H5e zenon_H259 zenon_H25b zenon_H25a. % 1.00/1.18 generalize (zenon_H48 (a139)). zenon_intro zenon_H278. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_Hf | zenon_intro zenon_H279 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26e | zenon_intro zenon_H25e ]. % 1.00/1.18 apply (zenon_L291_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 1.00/1.18 exact (zenon_H25a zenon_H261). % 1.00/1.18 exact (zenon_H260 zenon_H25b). % 1.00/1.18 (* end of lemma zenon_L302_ *) % 1.00/1.18 assert (zenon_L303_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11c zenon_H25a zenon_H25b zenon_H259 zenon_H5e zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.18 apply (zenon_L292_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.18 apply (zenon_L302_); trivial. % 1.00/1.18 apply (zenon_L39_); trivial. % 1.00/1.18 (* end of lemma zenon_L303_ *) % 1.00/1.18 assert (zenon_L304_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hc2 zenon_H146 zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H6a zenon_H280 zenon_H27f zenon_H27e zenon_H259 zenon_H25b zenon_H25a zenon_H11c zenon_H68. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.18 apply (zenon_L40_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.18 apply (zenon_L301_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.18 apply (zenon_L303_); trivial. % 1.00/1.18 exact (zenon_H68 zenon_H69). % 1.00/1.18 (* end of lemma zenon_L304_ *) % 1.00/1.18 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27a zenon_Hbf zenon_H27e zenon_H27f zenon_H280 zenon_H11c zenon_H68 zenon_H6a zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H23c zenon_H146 zenon_H111. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L285_); trivial. % 1.00/1.18 apply (zenon_L304_); trivial. % 1.00/1.18 (* end of lemma zenon_L305_ *) % 1.00/1.18 assert (zenon_L306_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H75 zenon_H10 zenon_H11 zenon_H243 zenon_H245. % 1.00/1.18 generalize (zenon_H75 (a105)). zenon_intro zenon_H28c. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_Hf | zenon_intro zenon_H28d ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H254 | zenon_intro zenon_H28e ]. % 1.00/1.18 generalize (zenon_H11 (a105)). zenon_intro zenon_H28f. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_Hf | zenon_intro zenon_H290 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H249 | zenon_intro zenon_H291 ]. % 1.00/1.18 exact (zenon_H243 zenon_H249). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H251 | zenon_intro zenon_H24a ]. % 1.00/1.18 exact (zenon_H251 zenon_H254). % 1.00/1.18 exact (zenon_H24a zenon_H245). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H249 | zenon_intro zenon_H24a ]. % 1.00/1.18 exact (zenon_H243 zenon_H249). % 1.00/1.18 exact (zenon_H24a zenon_H245). % 1.00/1.18 (* end of lemma zenon_L306_ *) % 1.00/1.18 assert (zenon_L307_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H24c zenon_H75 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H2f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ]. % 1.00/1.18 apply (zenon_L306_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H242 | zenon_intro zenon_H30 ]. % 1.00/1.18 apply (zenon_L271_); trivial. % 1.00/1.18 exact (zenon_H2f zenon_H30). % 1.00/1.18 (* end of lemma zenon_L307_ *) % 1.00/1.18 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hd5 zenon_H94 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H8d zenon_H90. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L45_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 apply (zenon_L50_); trivial. % 1.00/1.18 (* end of lemma zenon_L308_ *) % 1.00/1.18 assert (zenon_L309_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H94 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10 zenon_H87 zenon_H85 zenon_H9 zenon_H55 zenon_H53 zenon_H8d zenon_H90. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L307_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 apply (zenon_L33_); trivial. % 1.00/1.18 (* end of lemma zenon_L309_ *) % 1.00/1.18 assert (zenon_L310_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H38 zenon_H10 zenon_H7f zenon_H53 zenon_H55 zenon_H54. % 1.00/1.18 generalize (zenon_H38 (a114)). zenon_intro zenon_H292. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H292); [ zenon_intro zenon_Hf | zenon_intro zenon_H293 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H80 | zenon_intro zenon_H294 ]. % 1.00/1.18 apply (zenon_L29_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H59 | zenon_intro zenon_H5b ]. % 1.00/1.18 exact (zenon_H53 zenon_H59). % 1.00/1.18 exact (zenon_H5b zenon_H54). % 1.00/1.18 (* end of lemma zenon_L310_ *) % 1.00/1.18 assert (zenon_L311_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H5c zenon_H25b zenon_H25a zenon_H7f zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.00/1.18 apply (zenon_L310_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.00/1.18 apply (zenon_L294_); trivial. % 1.00/1.18 apply (zenon_L21_); trivial. % 1.00/1.18 (* end of lemma zenon_L311_ *) % 1.00/1.18 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp12)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H27a zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H55 zenon_H54 zenon_H53 zenon_H5c zenon_H8d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.18 apply (zenon_L311_); trivial. % 1.00/1.18 exact (zenon_H8d zenon_H8e). % 1.00/1.18 (* end of lemma zenon_L312_ *) % 1.00/1.18 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H27d zenon_H5c zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H257 zenon_H1e6 zenon_H10d zenon_H173 zenon_H6d zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H94. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.18 apply (zenon_L309_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.18 apply (zenon_L279_); trivial. % 1.00/1.18 apply (zenon_L312_); trivial. % 1.00/1.18 (* end of lemma zenon_L313_ *) % 1.00/1.18 assert (zenon_L314_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hdc zenon_H5c zenon_H85 zenon_H87 zenon_H22 zenon_H295 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H6d zenon_H173 zenon_H10d zenon_H1e6 zenon_H8d zenon_H90 zenon_H257 zenon_H97 zenon_H1f0 zenon_H33 zenon_H35 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H99 zenon_H6a zenon_H11c zenon_H26c zenon_H188 zenon_H121 zenon_H27d zenon_H94 zenon_H1 zenon_Hd zenon_Hd9. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.18 apply (zenon_L7_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.18 apply (zenon_L300_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.18 apply (zenon_L279_); trivial. % 1.00/1.18 apply (zenon_L305_); trivial. % 1.00/1.18 apply (zenon_L308_); trivial. % 1.00/1.18 apply (zenon_L313_); trivial. % 1.00/1.18 (* end of lemma zenon_L314_ *) % 1.00/1.18 assert (zenon_L315_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H1ec. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 1.00/1.18 apply (zenon_L9_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1ed ]. % 1.00/1.18 apply (zenon_L179_); trivial. % 1.00/1.18 exact (zenon_H1ec zenon_H1ed). % 1.00/1.18 (* end of lemma zenon_L315_ *) % 1.00/1.18 assert (zenon_L316_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(hskp22)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H174 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H1ec. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.18 apply (zenon_L28_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.18 apply (zenon_L54_); trivial. % 1.00/1.18 apply (zenon_L315_); trivial. % 1.00/1.18 (* end of lemma zenon_L316_ *) % 1.00/1.18 assert (zenon_L317_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H201 zenon_H1fd zenon_H85 zenon_H1f0 zenon_H97 zenon_H10 zenon_H243 zenon_H244 zenon_H245 zenon_H12 zenon_H13 zenon_H14 zenon_H255 zenon_H257 zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.18 apply (zenon_L275_); trivial. % 1.00/1.18 apply (zenon_L316_); trivial. % 1.00/1.18 apply (zenon_L185_); trivial. % 1.00/1.18 (* end of lemma zenon_L317_ *) % 1.00/1.18 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_H259 zenon_H25b zenon_H25a zenon_H11c zenon_H68. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.18 apply (zenon_L54_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.18 apply (zenon_L303_); trivial. % 1.00/1.18 exact (zenon_H68 zenon_H69). % 1.00/1.18 (* end of lemma zenon_L318_ *) % 1.00/1.18 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1d zenon_H94 zenon_H27d zenon_Hbf zenon_H6a zenon_H68 zenon_H11c zenon_H99 zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H257 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.18 apply (zenon_L272_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.18 apply (zenon_L317_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L37_); trivial. % 1.00/1.18 apply (zenon_L318_); trivial. % 1.00/1.18 (* end of lemma zenon_L319_ *) % 1.00/1.18 assert (zenon_L320_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H22 zenon_H94 zenon_H27d zenon_Hbf zenon_H6a zenon_H68 zenon_H11c zenon_H99 zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H257 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_L7_); trivial. % 1.00/1.19 apply (zenon_L319_); trivial. % 1.00/1.19 (* end of lemma zenon_L320_ *) % 1.00/1.19 assert (zenon_L321_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37)))))) -> (c1_1 (a118)) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_H48 zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H1de zenon_H10 zenon_Hfc. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.19 apply (zenon_L302_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.19 apply (zenon_L176_); trivial. % 1.00/1.19 exact (zenon_Hfc zenon_Hfd). % 1.00/1.19 (* end of lemma zenon_L321_ *) % 1.00/1.19 assert (zenon_L322_ : ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(hskp31)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_Hfc zenon_H1de zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.19 apply (zenon_L71_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.19 apply (zenon_L321_); trivial. % 1.00/1.19 apply (zenon_L39_); trivial. % 1.00/1.19 (* end of lemma zenon_L322_ *) % 1.00/1.19 assert (zenon_L323_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp31)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H299 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_Hfc zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H1b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H1de | zenon_intro zenon_H29a ]. % 1.00/1.19 apply (zenon_L322_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H7f | zenon_intro zenon_H1c ]. % 1.00/1.19 apply (zenon_L45_); trivial. % 1.00/1.19 exact (zenon_H1b zenon_H1c). % 1.00/1.19 (* end of lemma zenon_L323_ *) % 1.00/1.19 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc2 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_H115 zenon_H114 zenon_H113 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b zenon_H299. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L323_); trivial. % 1.00/1.19 apply (zenon_L69_); trivial. % 1.00/1.19 (* end of lemma zenon_L324_ *) % 1.00/1.19 assert (zenon_L325_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H27a zenon_H121 zenon_H11c zenon_H1a2 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b zenon_H299 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L286_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L85_); trivial. % 1.00/1.19 apply (zenon_L324_); trivial. % 1.00/1.19 (* end of lemma zenon_L325_ *) % 1.00/1.19 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H10c zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hdf zenon_Hde zenon_Hdd. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L54_); trivial. % 1.00/1.19 apply (zenon_L68_); trivial. % 1.00/1.19 (* end of lemma zenon_L326_ *) % 1.00/1.19 assert (zenon_L327_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L67_); trivial. % 1.00/1.19 apply (zenon_L326_); trivial. % 1.00/1.19 (* end of lemma zenon_L327_ *) % 1.00/1.19 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbc zenon_Haf zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.19 apply (zenon_L42_); trivial. % 1.00/1.19 apply (zenon_L39_); trivial. % 1.00/1.19 (* end of lemma zenon_L328_ *) % 1.00/1.19 assert (zenon_L329_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L64_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L327_); trivial. % 1.00/1.19 apply (zenon_L328_); trivial. % 1.00/1.19 (* end of lemma zenon_L329_ *) % 1.00/1.19 assert (zenon_L330_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1af zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_H55 zenon_H54 zenon_H53 zenon_H10 zenon_H1ad. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.00/1.19 apply (zenon_L257_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H52 | zenon_intro zenon_H1ae ]. % 1.00/1.19 apply (zenon_L21_); trivial. % 1.00/1.19 exact (zenon_H1ad zenon_H1ae). % 1.00/1.19 (* end of lemma zenon_L330_ *) % 1.00/1.19 assert (zenon_L331_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H121 zenon_H1fd zenon_H85 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L329_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.19 apply (zenon_L330_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 exact (zenon_H85 zenon_H86). % 1.00/1.19 (* end of lemma zenon_L331_ *) % 1.00/1.19 assert (zenon_L332_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp20)) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1f0 zenon_H255 zenon_H10 zenon_H102 zenon_H1b1 zenon_H1b3 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H15f zenon_H97. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H5e | zenon_intro zenon_H258 ]. % 1.00/1.19 apply (zenon_L273_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 exact (zenon_H255 zenon_H256). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.19 exact (zenon_H15f zenon_H160). % 1.00/1.19 exact (zenon_H97 zenon_H98). % 1.00/1.19 (* end of lemma zenon_L332_ *) % 1.00/1.19 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp22)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H174 zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H1ec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L54_); trivial. % 1.00/1.19 apply (zenon_L181_); trivial. % 1.00/1.19 (* end of lemma zenon_L333_ *) % 1.00/1.19 assert (zenon_L334_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H173 zenon_H1ec zenon_H1ee zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1f0 zenon_H97 zenon_H1b1 zenon_H1b3 zenon_H255 zenon_H257 zenon_H10d. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L54_); trivial. % 1.00/1.19 apply (zenon_L332_); trivial. % 1.00/1.19 apply (zenon_L333_); trivial. % 1.00/1.19 (* end of lemma zenon_L334_ *) % 1.00/1.19 assert (zenon_L335_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp0)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H85. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 exact (zenon_H85 zenon_H86). % 1.00/1.19 (* end of lemma zenon_L335_ *) % 1.00/1.19 assert (zenon_L336_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H201 zenon_H1fd zenon_H85 zenon_H10d zenon_H257 zenon_H255 zenon_H1b3 zenon_H1b1 zenon_H97 zenon_H1f0 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H1ee zenon_H173. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.19 apply (zenon_L334_); trivial. % 1.00/1.19 apply (zenon_L335_); trivial. % 1.00/1.19 (* end of lemma zenon_L336_ *) % 1.00/1.19 assert (zenon_L337_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (~(hskp8)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H1b3 zenon_H1b1 zenon_H10 zenon_H11 zenon_H33. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.19 apply (zenon_L19_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 exact (zenon_H33 zenon_H34). % 1.00/1.19 (* end of lemma zenon_L337_ *) % 1.00/1.19 assert (zenon_L338_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H188 zenon_H1ba zenon_H1e6 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_H1b3 zenon_H1b1 zenon_H10 zenon_H33. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L19_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.19 apply (zenon_L19_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.19 apply (zenon_L158_); trivial. % 1.00/1.19 exact (zenon_H33 zenon_H34). % 1.00/1.19 apply (zenon_L337_); trivial. % 1.00/1.19 (* end of lemma zenon_L338_ *) % 1.00/1.19 assert (zenon_L339_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp28)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13c zenon_H1b3 zenon_H1b1 zenon_H102 zenon_H10 zenon_Hfc zenon_H95. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ]. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hfd | zenon_intro zenon_H96 ]. % 1.00/1.19 exact (zenon_Hfc zenon_Hfd). % 1.00/1.19 exact (zenon_H95 zenon_H96). % 1.00/1.19 (* end of lemma zenon_L339_ *) % 1.00/1.19 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp8)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H10c zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H33 zenon_H39 zenon_H3b zenon_H3c zenon_H1e6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L177_); trivial. % 1.00/1.19 apply (zenon_L68_); trivial. % 1.00/1.19 (* end of lemma zenon_L340_ *) % 1.00/1.19 assert (zenon_L341_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H111 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10 zenon_H188 zenon_H1b1 zenon_H1b3 zenon_H1ba zenon_H33 zenon_H1e6 zenon_H3c zenon_H3b zenon_H39 zenon_H13c zenon_H95 zenon_H10d. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L307_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L338_); trivial. % 1.00/1.19 apply (zenon_L339_); trivial. % 1.00/1.19 apply (zenon_L340_); trivial. % 1.00/1.19 (* end of lemma zenon_L341_ *) % 1.00/1.19 assert (zenon_L342_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1c5 zenon_H27d zenon_H6d zenon_H6a zenon_H68 zenon_H11c zenon_H13c zenon_H1e6 zenon_H188 zenon_H33 zenon_H35 zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H85 zenon_H1fd zenon_H121. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.19 apply (zenon_L331_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L336_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.19 apply (zenon_L18_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L341_); trivial. % 1.00/1.19 apply (zenon_L318_); trivial. % 1.00/1.19 (* end of lemma zenon_L342_ *) % 1.00/1.19 assert (zenon_L343_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp18)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp0)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H11e zenon_H1fd zenon_H1ad zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_H78 zenon_H77 zenon_H76 zenon_H85. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.19 apply (zenon_L330_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 exact (zenon_H85 zenon_H86). % 1.00/1.19 (* end of lemma zenon_L343_ *) % 1.00/1.19 assert (zenon_L344_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H121 zenon_H1fd zenon_H85 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L70_); trivial. % 1.00/1.19 apply (zenon_L343_); trivial. % 1.00/1.19 (* end of lemma zenon_L344_ *) % 1.00/1.19 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp22)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H174 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H1ec. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L54_); trivial. % 1.00/1.19 apply (zenon_L181_); trivial. % 1.00/1.19 (* end of lemma zenon_L345_ *) % 1.00/1.19 assert (zenon_L346_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H173 zenon_H1ec zenon_H1ee zenon_H10 zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H1b1 zenon_H1b3 zenon_H255 zenon_H257 zenon_H10d. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L54_); trivial. % 1.00/1.19 apply (zenon_L332_); trivial. % 1.00/1.19 apply (zenon_L345_); trivial. % 1.00/1.19 (* end of lemma zenon_L346_ *) % 1.00/1.19 assert (zenon_L347_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H201 zenon_H1fd zenon_H85 zenon_H10d zenon_H257 zenon_H255 zenon_H1b3 zenon_H1b1 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H1ee zenon_H173. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.19 apply (zenon_L346_); trivial. % 1.00/1.19 apply (zenon_L185_); trivial. % 1.00/1.19 (* end of lemma zenon_L347_ *) % 1.00/1.19 assert (zenon_L348_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H111 zenon_H10d zenon_H39 zenon_H3b zenon_H3c zenon_H33 zenon_H1e6 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L67_); trivial. % 1.00/1.19 apply (zenon_L340_); trivial. % 1.00/1.19 (* end of lemma zenon_L348_ *) % 1.00/1.19 assert (zenon_L349_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_H33 zenon_H3c zenon_H3b zenon_H39 zenon_H10d zenon_H111. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L348_); trivial. % 1.00/1.19 apply (zenon_L328_); trivial. % 1.00/1.19 (* end of lemma zenon_L349_ *) % 1.00/1.19 assert (zenon_L350_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H10d zenon_H13c zenon_H1e6 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H188 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H111 zenon_H33 zenon_H35. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.19 apply (zenon_L18_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L341_); trivial. % 1.00/1.19 apply (zenon_L349_); trivial. % 1.00/1.19 (* end of lemma zenon_L350_ *) % 1.00/1.19 assert (zenon_L351_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc2 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_H115 zenon_H114 zenon_H113 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b zenon_H299. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L323_); trivial. % 1.00/1.19 apply (zenon_L326_); trivial. % 1.00/1.19 (* end of lemma zenon_L351_ *) % 1.00/1.19 assert (zenon_L352_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6d zenon_Hbf zenon_Haf zenon_H111 zenon_H10d zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H188 zenon_Hc0 zenon_H33 zenon_H35. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.19 apply (zenon_L18_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L198_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.19 apply (zenon_L338_); trivial. % 1.00/1.19 apply (zenon_L223_); trivial. % 1.00/1.19 apply (zenon_L178_); trivial. % 1.00/1.19 apply (zenon_L201_); trivial. % 1.00/1.19 (* end of lemma zenon_L352_ *) % 1.00/1.19 assert (zenon_L353_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H27d zenon_H11c zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H1b zenon_H299 zenon_H35 zenon_H33 zenon_H188 zenon_H1a2 zenon_H13c zenon_H1e6 zenon_H6d zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H85 zenon_H1fd zenon_H121. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.19 apply (zenon_L344_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L347_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L352_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L64_); trivial. % 1.00/1.19 apply (zenon_L324_); trivial. % 1.00/1.19 (* end of lemma zenon_L353_ *) % 1.00/1.19 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp18)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H27a zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H1ad. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.00/1.19 apply (zenon_L280_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H52 | zenon_intro zenon_H1ae ]. % 1.00/1.19 apply (zenon_L21_); trivial. % 1.00/1.19 exact (zenon_H1ad zenon_H1ae). % 1.00/1.19 (* end of lemma zenon_L354_ *) % 1.00/1.19 assert (zenon_L355_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H27d zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L317_); trivial. % 1.00/1.19 apply (zenon_L354_); trivial. % 1.00/1.19 (* end of lemma zenon_L355_ *) % 1.00/1.19 assert (zenon_L356_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp31)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(hskp10)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H299 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_Hfc zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_H54 zenon_H55 zenon_H53 zenon_H10 zenon_H38 zenon_H1b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H1de | zenon_intro zenon_H29a ]. % 1.00/1.19 apply (zenon_L322_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H7f | zenon_intro zenon_H1c ]. % 1.00/1.19 apply (zenon_L310_); trivial. % 1.00/1.19 exact (zenon_H1b zenon_H1c). % 1.00/1.19 (* end of lemma zenon_L356_ *) % 1.00/1.19 assert (zenon_L357_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29)))))) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1f0 zenon_H78 zenon_H76 zenon_H77 zenon_H10 zenon_H177 zenon_H15f zenon_H97. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.19 apply (zenon_L287_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.19 exact (zenon_H15f zenon_H160). % 1.00/1.19 exact (zenon_H97 zenon_H98). % 1.00/1.19 (* end of lemma zenon_L357_ *) % 1.00/1.19 assert (zenon_L358_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp10)) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(hskp31)) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(hskp11)) -> (~(hskp29)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H188 zenon_H1b zenon_H53 zenon_H55 zenon_H54 zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_Hfc zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H299 zenon_H97 zenon_H15f zenon_H77 zenon_H76 zenon_H78 zenon_H1f0 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.19 apply (zenon_L356_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.19 apply (zenon_L357_); trivial. % 1.00/1.19 apply (zenon_L9_); trivial. % 1.00/1.19 (* end of lemma zenon_L358_ *) % 1.00/1.19 assert (zenon_L359_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp29)) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H111 zenon_H10d zenon_H39 zenon_H3b zenon_H3c zenon_H33 zenon_H1e6 zenon_H299 zenon_H1b zenon_H54 zenon_H55 zenon_H53 zenon_H10 zenon_H113 zenon_H114 zenon_H115 zenon_H1a2 zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H25a zenon_H25b zenon_H259 zenon_H11c zenon_H1f0 zenon_H97 zenon_H15f zenon_H78 zenon_H76 zenon_H77 zenon_H12 zenon_H13 zenon_H14 zenon_H188. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L358_); trivial. % 1.00/1.19 apply (zenon_L178_); trivial. % 1.00/1.19 (* end of lemma zenon_L359_ *) % 1.00/1.19 assert (zenon_L360_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H11e zenon_H6d zenon_Hbf zenon_H173 zenon_H1b1 zenon_H1b3 zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H188 zenon_H97 zenon_H1f0 zenon_H11c zenon_H1a2 zenon_H53 zenon_H55 zenon_H54 zenon_H1b zenon_H299 zenon_H1e6 zenon_H10d zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H146 zenon_H111 zenon_H33 zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.19 apply (zenon_L18_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L285_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.19 apply (zenon_L359_); trivial. % 1.00/1.19 apply (zenon_L345_); trivial. % 1.00/1.19 (* end of lemma zenon_L360_ *) % 1.00/1.19 assert (zenon_L361_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H126 zenon_H1af zenon_Hfa zenon_H1c5 zenon_H1ee zenon_H1fd zenon_H201 zenon_H299 zenon_H1b zenon_H1a2 zenon_Hd9 zenon_Hd zenon_H1 zenon_H94 zenon_H27d zenon_H121 zenon_H188 zenon_H26c zenon_H11c zenon_H6a zenon_H99 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H257 zenon_H90 zenon_H1e6 zenon_H10d zenon_H173 zenon_H6d zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H295 zenon_H22 zenon_H87 zenon_H85 zenon_H5c zenon_Hdc. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.19 apply (zenon_L314_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.19 apply (zenon_L320_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_L7_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_L272_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L317_); trivial. % 1.00/1.19 apply (zenon_L325_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_L342_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.19 apply (zenon_L344_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L347_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L64_); trivial. % 1.00/1.19 apply (zenon_L318_); trivial. % 1.00/1.19 apply (zenon_L319_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.19 apply (zenon_L331_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L336_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L350_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.19 apply (zenon_L18_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L341_); trivial. % 1.00/1.19 apply (zenon_L351_); trivial. % 1.00/1.19 apply (zenon_L353_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_L272_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.19 apply (zenon_L355_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L347_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L286_); trivial. % 1.00/1.19 apply (zenon_L360_); trivial. % 1.00/1.19 apply (zenon_L185_); trivial. % 1.00/1.19 (* end of lemma zenon_L361_ *) % 1.00/1.19 assert (zenon_L362_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H132 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.19 generalize (zenon_H132 (a141)). zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_Hf | zenon_intro zenon_H143 ]. % 1.00/1.19 exact (zenon_Hf zenon_H10). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H145 | zenon_intro zenon_H144 ]. % 1.00/1.19 apply (zenon_L258_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H109 | zenon_intro zenon_H10b ]. % 1.00/1.19 exact (zenon_H109 zenon_H103). % 1.00/1.19 exact (zenon_H10b zenon_H104). % 1.00/1.19 (* end of lemma zenon_L362_ *) % 1.00/1.19 assert (zenon_L363_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (ndr1_0) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H132 zenon_H10 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.19 apply (zenon_L86_); trivial. % 1.00/1.19 apply (zenon_L362_); trivial. % 1.00/1.19 (* end of lemma zenon_L363_ *) % 1.00/1.19 assert (zenon_L364_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp1)) -> (~(hskp24)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_H100 zenon_H146 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H21e zenon_Hfe zenon_H220 zenon_H111. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L84_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H132 | zenon_intro zenon_H221 ]. % 1.00/1.19 apply (zenon_L363_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21f | zenon_intro zenon_Hff ]. % 1.00/1.19 exact (zenon_H21e zenon_H21f). % 1.00/1.19 exact (zenon_Hfe zenon_Hff). % 1.00/1.19 apply (zenon_L89_); trivial. % 1.00/1.19 (* end of lemma zenon_L364_ *) % 1.00/1.19 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H10c zenon_H146 zenon_Hee zenon_Hed zenon_Hec zenon_Haf zenon_H78 zenon_H77 zenon_H76. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.19 apply (zenon_L60_); trivial. % 1.00/1.19 apply (zenon_L363_); trivial. % 1.00/1.19 (* end of lemma zenon_L365_ *) % 1.00/1.19 assert (zenon_L366_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H111 zenon_H146 zenon_Haf zenon_Hee zenon_Hed zenon_Hec zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L84_); trivial. % 1.00/1.19 apply (zenon_L365_); trivial. % 1.00/1.19 (* end of lemma zenon_L366_ *) % 1.00/1.19 assert (zenon_L367_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp7)) -> (~(hskp0)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H11e zenon_H123 zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H146 zenon_H111 zenon_He8 zenon_H85 zenon_Hea. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.19 apply (zenon_L59_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L366_); trivial. % 1.00/1.19 apply (zenon_L72_); trivial. % 1.00/1.19 (* end of lemma zenon_L367_ *) % 1.00/1.19 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.19 apply (zenon_L329_); trivial. % 1.00/1.19 apply (zenon_L73_); trivial. % 1.00/1.19 (* end of lemma zenon_L368_ *) % 1.00/1.19 assert (zenon_L369_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H94 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H11c zenon_H121 zenon_H74. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.19 apply (zenon_L78_); trivial. % 1.00/1.19 apply (zenon_L368_); trivial. % 1.00/1.19 apply (zenon_L82_); trivial. % 1.00/1.19 (* end of lemma zenon_L369_ *) % 1.00/1.19 assert (zenon_L370_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H122 zenon_H22 zenon_H13c zenon_H146 zenon_H74 zenon_H121 zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H94. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_L369_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_L272_); trivial. % 1.00/1.19 apply (zenon_L92_); trivial. % 1.00/1.19 (* end of lemma zenon_L370_ *) % 1.00/1.19 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H27a zenon_Hbf zenon_H146 zenon_H27e zenon_H27f zenon_H280 zenon_H11c zenon_H68 zenon_H6a zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L111_); trivial. % 1.00/1.19 apply (zenon_L304_); trivial. % 1.00/1.19 (* end of lemma zenon_L371_ *) % 1.00/1.19 assert (zenon_L372_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hdc zenon_H5c zenon_H85 zenon_H87 zenon_H22 zenon_H295 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H6d zenon_H173 zenon_H10d zenon_H1e6 zenon_H8d zenon_H90 zenon_H257 zenon_H97 zenon_H1f0 zenon_H33 zenon_H35 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H99 zenon_H6a zenon_H11c zenon_H26c zenon_H188 zenon_H121 zenon_H27d zenon_H94 zenon_H1 zenon_Hd zenon_Hd9. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.19 apply (zenon_L7_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.19 apply (zenon_L300_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.19 apply (zenon_L272_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.19 apply (zenon_L279_); trivial. % 1.00/1.19 apply (zenon_L371_); trivial. % 1.00/1.19 apply (zenon_L308_); trivial. % 1.00/1.19 apply (zenon_L313_); trivial. % 1.00/1.19 (* end of lemma zenon_L372_ *) % 1.00/1.19 assert (zenon_L373_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a131)) -> (c2_1 (a131)) -> (c3_1 (a131)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H105 zenon_H104 zenon_Ha5 zenon_H10 zenon_Hb3 zenon_Hb4 zenon_Hb5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.19 apply (zenon_L280_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.19 apply (zenon_L259_); trivial. % 1.00/1.19 apply (zenon_L42_); trivial. % 1.00/1.19 (* end of lemma zenon_L373_ *) % 1.00/1.19 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a131)) -> (c2_1 (a131)) -> (c3_1 (a131)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H10c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Hb3 zenon_Hb4 zenon_Hb5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.19 apply (zenon_L42_); trivial. % 1.00/1.19 apply (zenon_L373_); trivial. % 1.00/1.19 (* end of lemma zenon_L374_ *) % 1.00/1.19 assert (zenon_L375_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc0 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H78 zenon_H77 zenon_H76 zenon_H1a2 zenon_H95 zenon_H13c zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L99_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.19 apply (zenon_L224_); trivial. % 1.00/1.19 apply (zenon_L374_); trivial. % 1.00/1.19 (* end of lemma zenon_L375_ *) % 1.00/1.19 assert (zenon_L376_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_H76 zenon_H77 zenon_H78 zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_Hc0. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.19 apply (zenon_L375_); trivial. % 1.00/1.19 apply (zenon_L227_); trivial. % 1.00/1.19 (* end of lemma zenon_L376_ *) % 1.00/1.19 assert (zenon_L377_ : (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a116))) -> (forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55)))))) -> (c2_1 (a116)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H52 zenon_H10 zenon_Hc6 zenon_H23 zenon_Hc8. % 1.00/1.19 generalize (zenon_H52 (a116)). zenon_intro zenon_H29b. % 1.00/1.19 apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_Hf | zenon_intro zenon_H29c ]. % 1.00/1.19 exact (zenon_Hf zenon_H10). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1a7 ]. % 1.00/1.19 exact (zenon_Hc6 zenon_Hcc). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a8 | zenon_intro zenon_Hcd ]. % 1.00/1.19 generalize (zenon_H23 (a116)). zenon_intro zenon_H29d. % 1.00/1.19 apply (zenon_imply_s _ _ zenon_H29d); [ zenon_intro zenon_Hf | zenon_intro zenon_H29e ]. % 1.00/1.19 exact (zenon_Hf zenon_H10). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H1ac | zenon_intro zenon_H29f ]. % 1.00/1.19 exact (zenon_H1a8 zenon_H1ac). % 1.00/1.19 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcd ]. % 1.00/1.19 exact (zenon_Hc6 zenon_Hcc). % 1.00/1.19 exact (zenon_Hcd zenon_Hc8). % 1.00/1.19 exact (zenon_Hcd zenon_Hc8). % 1.00/1.19 (* end of lemma zenon_L377_ *) % 1.00/1.19 assert (zenon_L378_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a116)) -> (forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55)))))) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1af zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_Hc8 zenon_H23 zenon_Hc6 zenon_H10 zenon_H1ad. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.00/1.19 apply (zenon_L257_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H52 | zenon_intro zenon_H1ae ]. % 1.00/1.19 apply (zenon_L377_); trivial. % 1.00/1.19 exact (zenon_H1ad zenon_H1ae). % 1.00/1.19 (* end of lemma zenon_L378_ *) % 1.00/1.19 assert (zenon_L379_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp18)) -> (ndr1_0) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp30)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc1 zenon_H14 zenon_H12 zenon_H13 zenon_H9b zenon_H1ad zenon_H10 zenon_Hc6 zenon_Hc8 zenon_H1f2 zenon_H113 zenon_H115 zenon_H114 zenon_H1af zenon_Hb1. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H9c | zenon_intro zenon_Hc5 ]. % 1.00/1.19 apply (zenon_L38_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H23 | zenon_intro zenon_Hb2 ]. % 1.00/1.19 apply (zenon_L378_); trivial. % 1.00/1.19 exact (zenon_Hb1 zenon_Hb2). % 1.00/1.19 (* end of lemma zenon_L379_ *) % 1.00/1.19 assert (zenon_L380_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp30)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (~(hskp18)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (ndr1_0) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_Hb1 zenon_H1af zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_Hc8 zenon_Hc6 zenon_H1ad zenon_H13 zenon_H12 zenon_H14 zenon_Hc1 zenon_H10 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.19 apply (zenon_L28_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.19 apply (zenon_L379_); trivial. % 1.00/1.19 apply (zenon_L39_); trivial. % 1.00/1.19 (* end of lemma zenon_L380_ *) % 1.00/1.19 assert (zenon_L381_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H27d zenon_H121 zenon_H1af zenon_H1ad zenon_Hc8 zenon_Hc6 zenon_Hc1 zenon_H146 zenon_Hc0 zenon_Haf zenon_H23c zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hbf zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.20 apply (zenon_L317_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L376_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L285_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.20 apply (zenon_L380_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 exact (zenon_H85 zenon_H86). % 1.00/1.20 apply (zenon_L43_); trivial. % 1.00/1.20 (* end of lemma zenon_L381_ *) % 1.00/1.20 assert (zenon_L382_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp31)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1f0 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H10 zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_Hfc zenon_H38 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H15f zenon_H97. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.20 apply (zenon_L253_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.20 apply (zenon_L321_); trivial. % 1.00/1.20 apply (zenon_L39_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.20 exact (zenon_H15f zenon_H160). % 1.00/1.20 exact (zenon_H97 zenon_H98). % 1.00/1.20 (* end of lemma zenon_L382_ *) % 1.00/1.20 assert (zenon_L383_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> (~(hskp29)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp31)) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H188 zenon_H97 zenon_H15f zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_Hfc zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H1f0 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H102 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L382_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.20 apply (zenon_L158_); trivial. % 1.00/1.20 apply (zenon_L9_); trivial. % 1.00/1.20 (* end of lemma zenon_L383_ *) % 1.00/1.20 assert (zenon_L384_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(hskp16)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> (~(hskp29)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp31)) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H10d zenon_H26c zenon_H78 zenon_H76 zenon_H77 zenon_H115 zenon_H114 zenon_H113 zenon_H26a zenon_H39 zenon_H3b zenon_H3c zenon_H188 zenon_H97 zenon_H15f zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_Hfc zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H1f0 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L290_); trivial. % 1.00/1.20 apply (zenon_L383_); trivial. % 1.00/1.20 (* end of lemma zenon_L384_ *) % 1.00/1.20 assert (zenon_L385_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (c2_1 (a118)) -> (c3_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp29)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H111 zenon_H146 zenon_Haf zenon_H10 zenon_H76 zenon_H77 zenon_H78 zenon_H188 zenon_H14 zenon_H13 zenon_H12 zenon_H113 zenon_H114 zenon_H115 zenon_H26a zenon_H26c zenon_H3c zenon_H3b zenon_H39 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_Ha7 zenon_Ha8 zenon_Ha6 zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H15f zenon_H97 zenon_H1f0 zenon_H10d. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_L384_); trivial. % 1.00/1.20 apply (zenon_L88_); trivial. % 1.00/1.20 (* end of lemma zenon_L385_ *) % 1.00/1.20 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H10d zenon_H1f0 zenon_H97 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_H11c zenon_H1b1 zenon_H1b3 zenon_H1ba zenon_H39 zenon_H3b zenon_H3c zenon_H26c zenon_H26a zenon_H115 zenon_H114 zenon_H113 zenon_H12 zenon_H13 zenon_H14 zenon_H188 zenon_H78 zenon_H77 zenon_H76 zenon_Haf zenon_H146 zenon_H111. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.20 apply (zenon_L385_); trivial. % 1.00/1.20 apply (zenon_L345_); trivial. % 1.00/1.20 (* end of lemma zenon_L386_ *) % 1.00/1.20 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_Hbf zenon_Hc0 zenon_H100 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H35 zenon_H33 zenon_Hea zenon_He8 zenon_H188 zenon_H26a zenon_H26c zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H123 zenon_H6d zenon_H121 zenon_H173 zenon_H1ee zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H10d zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.20 apply (zenon_L347_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L286_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.20 apply (zenon_L18_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.20 apply (zenon_L59_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L366_); trivial. % 1.00/1.20 apply (zenon_L386_); trivial. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 (* end of lemma zenon_L387_ *) % 1.00/1.20 assert (zenon_L388_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H239 zenon_H10 zenon_H27e zenon_H27f zenon_H280. % 1.00/1.20 generalize (zenon_H239 (a126)). zenon_intro zenon_H2a0. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a1 ]. % 1.00/1.20 exact (zenon_Hf zenon_H10). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H288 | zenon_intro zenon_H2a2 ]. % 1.00/1.20 exact (zenon_H27e zenon_H288). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H289 | zenon_intro zenon_H28b ]. % 1.00/1.20 exact (zenon_H289 zenon_H27f). % 1.00/1.20 exact (zenon_H28b zenon_H280). % 1.00/1.20 (* end of lemma zenon_L388_ *) % 1.00/1.20 assert (zenon_L389_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H9b zenon_H10 zenon_H75 zenon_H243 zenon_H245 zenon_H244. % 1.00/1.20 generalize (zenon_H9b (a105)). zenon_intro zenon_H2a3. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a4 ]. % 1.00/1.20 exact (zenon_Hf zenon_H10). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H251 | zenon_intro zenon_H248 ]. % 1.00/1.20 generalize (zenon_H75 (a105)). zenon_intro zenon_H28c. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_Hf | zenon_intro zenon_H28d ]. % 1.00/1.20 exact (zenon_Hf zenon_H10). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H254 | zenon_intro zenon_H28e ]. % 1.00/1.20 exact (zenon_H251 zenon_H254). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H249 | zenon_intro zenon_H24a ]. % 1.00/1.20 exact (zenon_H243 zenon_H249). % 1.00/1.20 exact (zenon_H24a zenon_H245). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 1.00/1.20 exact (zenon_H24b zenon_H244). % 1.00/1.20 exact (zenon_H24a zenon_H245). % 1.00/1.20 (* end of lemma zenon_L389_ *) % 1.00/1.20 assert (zenon_L390_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H280 zenon_H27f zenon_H27e zenon_H10 zenon_H75 zenon_H243 zenon_H245 zenon_H244. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.20 apply (zenon_L280_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.20 apply (zenon_L388_); trivial. % 1.00/1.20 apply (zenon_L389_); trivial. % 1.00/1.20 (* end of lemma zenon_L390_ *) % 1.00/1.20 assert (zenon_L391_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H146 zenon_H78 zenon_H77 zenon_H76 zenon_Hee zenon_Hed zenon_Hec zenon_H3a zenon_H10 zenon_H27e zenon_H27f zenon_H280. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.20 apply (zenon_L60_); trivial. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 (* end of lemma zenon_L391_ *) % 1.00/1.20 assert (zenon_L392_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> (~(hskp29)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp31)) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c2_1 (a134))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H188 zenon_H97 zenon_H15f zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_Hfc zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H1f0 zenon_H1ba zenon_H10 zenon_H102 zenon_H1b1 zenon_H1b3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L382_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.20 apply (zenon_L158_); trivial. % 1.00/1.20 apply (zenon_L159_); trivial. % 1.00/1.20 (* end of lemma zenon_L392_ *) % 1.00/1.20 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H10c zenon_H10d zenon_H280 zenon_H27f zenon_H27e zenon_Hec zenon_Hed zenon_Hee zenon_H76 zenon_H77 zenon_H78 zenon_H146. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L391_); trivial. % 1.00/1.20 apply (zenon_L68_); trivial. % 1.00/1.20 (* end of lemma zenon_L393_ *) % 1.00/1.20 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp22)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H174 zenon_H10d zenon_H280 zenon_H27f zenon_H27e zenon_Hec zenon_Hed zenon_Hee zenon_H76 zenon_H77 zenon_H78 zenon_H146 zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H1ec. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L391_); trivial. % 1.00/1.20 apply (zenon_L181_); trivial. % 1.00/1.20 (* end of lemma zenon_L394_ *) % 1.00/1.20 assert (zenon_L395_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1ec zenon_H1ee zenon_H10d zenon_H1f0 zenon_H97 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H11c zenon_H1b1 zenon_H1b3 zenon_H1ba zenon_H188 zenon_H76 zenon_H77 zenon_H78 zenon_Hec zenon_Hed zenon_Hee zenon_H146 zenon_H259 zenon_H25a zenon_H25b zenon_H27e zenon_H27f zenon_H280 zenon_H243 zenon_H245 zenon_H244 zenon_H23c zenon_H111. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L390_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L391_); trivial. % 1.00/1.20 apply (zenon_L392_); trivial. % 1.00/1.20 apply (zenon_L393_); trivial. % 1.00/1.20 apply (zenon_L394_); trivial. % 1.00/1.20 (* end of lemma zenon_L395_ *) % 1.00/1.20 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H27a zenon_H201 zenon_H1fd zenon_Hea zenon_H85 zenon_He8 zenon_H111 zenon_H146 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H97 zenon_H1f0 zenon_H10d zenon_H1ee zenon_H173 zenon_Hbf zenon_H123. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.20 apply (zenon_L59_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L366_); trivial. % 1.00/1.20 apply (zenon_L395_); trivial. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 (* end of lemma zenon_L396_ *) % 1.00/1.20 assert (zenon_L397_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_Hea zenon_He8 zenon_H111 zenon_H146 zenon_Haf zenon_H13c zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_H188 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_Hbf zenon_H123 zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.20 apply (zenon_L317_); trivial. % 1.00/1.20 apply (zenon_L396_); trivial. % 1.00/1.20 (* end of lemma zenon_L397_ *) % 1.00/1.20 assert (zenon_L398_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (c2_1 (a118)) -> (c3_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp29)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H111 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_Ha7 zenon_Ha8 zenon_Ha6 zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H15f zenon_H97 zenon_H1f0 zenon_H10d. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L307_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L54_); trivial. % 1.00/1.20 apply (zenon_L392_); trivial. % 1.00/1.20 apply (zenon_L326_); trivial. % 1.00/1.20 (* end of lemma zenon_L398_ *) % 1.00/1.20 assert (zenon_L399_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hbf zenon_H173 zenon_H1ec zenon_H1ee zenon_H10d zenon_H1f0 zenon_H97 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_H11c zenon_H1b1 zenon_H1b3 zenon_H1ba zenon_H188 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L64_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.20 apply (zenon_L398_); trivial. % 1.00/1.20 apply (zenon_L333_); trivial. % 1.00/1.20 (* end of lemma zenon_L399_ *) % 1.00/1.20 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H27a zenon_H201 zenon_H1fd zenon_H85 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H76 zenon_H77 zenon_H78 zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H97 zenon_H1f0 zenon_H10d zenon_H1ee zenon_H173 zenon_Hbf. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L64_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L54_); trivial. % 1.00/1.20 apply (zenon_L392_); trivial. % 1.00/1.20 apply (zenon_L69_); trivial. % 1.00/1.20 apply (zenon_L345_); trivial. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 (* end of lemma zenon_L400_ *) % 1.00/1.20 assert (zenon_L401_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H27d zenon_H188 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H85 zenon_H1fd zenon_H121. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_L344_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.20 apply (zenon_L347_); trivial. % 1.00/1.20 apply (zenon_L400_); trivial. % 1.00/1.20 (* end of lemma zenon_L401_ *) % 1.00/1.20 assert (zenon_L402_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H94 zenon_H121 zenon_H1fd zenon_H85 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H201 zenon_H257 zenon_H97 zenon_H1f0 zenon_H1ee zenon_H173 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H11c zenon_H188 zenon_H27d zenon_H1c5. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_L331_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.20 apply (zenon_L336_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.20 apply (zenon_L399_); trivial. % 1.00/1.20 apply (zenon_L335_); trivial. % 1.00/1.20 apply (zenon_L401_); trivial. % 1.00/1.20 (* end of lemma zenon_L402_ *) % 1.00/1.20 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1d zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_L127_); trivial. % 1.00/1.20 (* end of lemma zenon_L403_ *) % 1.00/1.20 assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H148 zenon_H126 zenon_Hfa zenon_H10d zenon_H22 zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hd zenon_H13a zenon_H5c zenon_Hdc. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_L403_); trivial. % 1.00/1.20 apply (zenon_L80_); trivial. % 1.00/1.20 apply (zenon_L370_); trivial. % 1.00/1.20 (* end of lemma zenon_L404_ *) % 1.00/1.20 assert (zenon_L405_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp16)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H11e zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H26a zenon_H77 zenon_H76 zenon_H78 zenon_H26c zenon_H12 zenon_H13 zenon_H14. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L132_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.20 apply (zenon_L289_); trivial. % 1.00/1.20 apply (zenon_L9_); trivial. % 1.00/1.20 (* end of lemma zenon_L405_ *) % 1.00/1.20 assert (zenon_L406_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H94 zenon_H121 zenon_H188 zenon_H26a zenon_H26c zenon_H195 zenon_H194 zenon_H193 zenon_H111 zenon_H220 zenon_H21e zenon_Haf zenon_H13c zenon_H146 zenon_H100 zenon_Hc0 zenon_Hbf zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L364_); trivial. % 1.00/1.20 apply (zenon_L405_); trivial. % 1.00/1.20 (* end of lemma zenon_L406_ *) % 1.00/1.20 assert (zenon_L407_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp11)) -> (~(hskp29)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H97 zenon_H15f zenon_H77 zenon_H76 zenon_H78 zenon_H1f0 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.20 apply (zenon_L132_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.20 apply (zenon_L357_); trivial. % 1.00/1.20 apply (zenon_L9_); trivial. % 1.00/1.20 (* end of lemma zenon_L407_ *) % 1.00/1.20 assert (zenon_L408_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H146 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H3a zenon_H10 zenon_H27e zenon_H27f zenon_H280. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.20 apply (zenon_L40_); trivial. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 (* end of lemma zenon_L408_ *) % 1.00/1.20 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp12)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H174 zenon_H10d zenon_H280 zenon_H27f zenon_H27e zenon_Haf zenon_H14 zenon_H12 zenon_H13 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H146 zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H8d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L408_); trivial. % 1.00/1.20 apply (zenon_L277_); trivial. % 1.00/1.20 (* end of lemma zenon_L409_ *) % 1.00/1.20 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp12)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H10c zenon_H13a zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H55 zenon_H54 zenon_H53 zenon_H8d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H132 | zenon_intro zenon_H13b ]. % 1.00/1.20 apply (zenon_L363_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H52 | zenon_intro zenon_H8e ]. % 1.00/1.20 apply (zenon_L21_); trivial. % 1.00/1.20 exact (zenon_H8d zenon_H8e). % 1.00/1.20 (* end of lemma zenon_L410_ *) % 1.00/1.20 assert (zenon_L411_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_L67_); trivial. % 1.00/1.20 apply (zenon_L410_); trivial. % 1.00/1.20 (* end of lemma zenon_L411_ *) % 1.00/1.20 assert (zenon_L412_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H2d zenon_H100 zenon_Hfe zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H111. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L411_); trivial. % 1.00/1.20 apply (zenon_L62_); trivial. % 1.00/1.20 (* end of lemma zenon_L412_ *) % 1.00/1.20 assert (zenon_L413_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H13a zenon_H280 zenon_H27f zenon_H27e zenon_H3a zenon_H55 zenon_H54 zenon_H53 zenon_H10 zenon_H8d. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H132 | zenon_intro zenon_H13b ]. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H52 | zenon_intro zenon_H8e ]. % 1.00/1.20 apply (zenon_L21_); trivial. % 1.00/1.20 exact (zenon_H8d zenon_H8e). % 1.00/1.20 (* end of lemma zenon_L413_ *) % 1.00/1.20 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1c2 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H188 zenon_H195 zenon_H194 zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L413_); trivial. % 1.00/1.20 apply (zenon_L160_); trivial. % 1.00/1.20 (* end of lemma zenon_L414_ *) % 1.00/1.20 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H295 zenon_H1c5 zenon_H10d zenon_H1fd zenon_H1af zenon_H13a zenon_H97 zenon_Hf5 zenon_H5c zenon_H74 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H146 zenon_H13c zenon_Haf zenon_H21e zenon_H220 zenon_H111 zenon_H193 zenon_H194 zenon_H195 zenon_H26c zenon_H188 zenon_H121 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H94. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.20 apply (zenon_L309_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.20 apply (zenon_L406_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L412_); trivial. % 1.00/1.20 apply (zenon_L343_); trivial. % 1.00/1.20 apply (zenon_L145_); trivial. % 1.00/1.20 apply (zenon_L414_); trivial. % 1.00/1.20 (* end of lemma zenon_L415_ *) % 1.00/1.20 assert (zenon_L416_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H173 zenon_H10d zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H1f0 zenon_H97 zenon_H78 zenon_H76 zenon_H77 zenon_H12 zenon_H13 zenon_H14 zenon_H188. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.20 apply (zenon_L407_); trivial. % 1.00/1.20 apply (zenon_L316_); trivial. % 1.00/1.20 (* end of lemma zenon_L416_ *) % 1.00/1.20 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1c2 zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hdf zenon_Hde zenon_Hdd zenon_H188 zenon_H195 zenon_H194 zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L307_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L54_); trivial. % 1.00/1.20 apply (zenon_L160_); trivial. % 1.00/1.20 (* end of lemma zenon_L417_ *) % 1.00/1.20 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H201 zenon_H1f0 zenon_H97 zenon_H257 zenon_H1ee zenon_H173 zenon_H27d zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hfa zenon_H1af zenon_H85 zenon_H1fd zenon_H121 zenon_H94. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_L331_); trivial. % 1.00/1.20 apply (zenon_L417_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_L344_); trivial. % 1.00/1.20 apply (zenon_L161_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.20 apply (zenon_L355_); trivial. % 1.00/1.20 apply (zenon_L161_); trivial. % 1.00/1.20 (* end of lemma zenon_L418_ *) % 1.00/1.20 assert (zenon_L419_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H257 zenon_H27d zenon_H1c5 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H193 zenon_H194 zenon_H195 zenon_H1f0 zenon_H97 zenon_H188 zenon_H85 zenon_H1fd zenon_H201 zenon_H94 zenon_H22. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.20 apply (zenon_L416_); trivial. % 1.00/1.20 apply (zenon_L185_); trivial. % 1.00/1.20 apply (zenon_L418_); trivial. % 1.00/1.20 (* end of lemma zenon_L419_ *) % 1.00/1.20 assert (zenon_L420_ : ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(hskp1)) -> (~(hskp24)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H220 zenon_H280 zenon_H27f zenon_H27e zenon_H10 zenon_H3a zenon_H21e zenon_Hfe. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H132 | zenon_intro zenon_H221 ]. % 1.00/1.20 apply (zenon_L301_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H21f | zenon_intro zenon_Hff ]. % 1.00/1.20 exact (zenon_H21e zenon_H21f). % 1.00/1.20 exact (zenon_Hfe zenon_Hff). % 1.00/1.20 (* end of lemma zenon_L420_ *) % 1.00/1.20 assert (zenon_L421_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a126))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H3a zenon_H10 zenon_H28a zenon_H27e zenon_H280. % 1.00/1.20 generalize (zenon_H3a (a126)). zenon_intro zenon_H281. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_Hf | zenon_intro zenon_H282 ]. % 1.00/1.20 exact (zenon_Hf zenon_H10). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 1.00/1.20 exact (zenon_H28a zenon_H284). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H288 | zenon_intro zenon_H28b ]. % 1.00/1.20 exact (zenon_H27e zenon_H288). % 1.00/1.20 exact (zenon_H28b zenon_H280). % 1.00/1.20 (* end of lemma zenon_L421_ *) % 1.00/1.20 assert (zenon_L422_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H102 zenon_H10 zenon_H3a zenon_H27e zenon_H280 zenon_H27f. % 1.00/1.20 generalize (zenon_H102 (a126)). zenon_intro zenon_H2a5. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H2a5); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a6 ]. % 1.00/1.20 exact (zenon_Hf zenon_H10). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H28a | zenon_intro zenon_H2a2 ]. % 1.00/1.20 apply (zenon_L421_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H289 | zenon_intro zenon_H28b ]. % 1.00/1.20 exact (zenon_H289 zenon_H27f). % 1.00/1.20 exact (zenon_H28b zenon_H280). % 1.00/1.20 (* end of lemma zenon_L422_ *) % 1.00/1.20 assert (zenon_L423_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6a zenon_H27f zenon_H280 zenon_H27e zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H102 zenon_H10 zenon_H68. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.20 apply (zenon_L422_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.20 apply (zenon_L100_); trivial. % 1.00/1.20 exact (zenon_H68 zenon_H69). % 1.00/1.20 (* end of lemma zenon_L423_ *) % 1.00/1.20 assert (zenon_L424_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hc0 zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_H220 zenon_H21e zenon_H280 zenon_H27f zenon_H27e zenon_H10d zenon_H111. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_L67_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L420_); trivial. % 1.00/1.20 apply (zenon_L68_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L420_); trivial. % 1.00/1.20 apply (zenon_L423_); trivial. % 1.00/1.20 (* end of lemma zenon_L424_ *) % 1.00/1.20 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(hskp7)) -> (~(hskp0)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6c zenon_H121 zenon_H123 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Haf zenon_H146 zenon_He8 zenon_H85 zenon_Hea zenon_H111 zenon_H10d zenon_H27e zenon_H27f zenon_H280 zenon_H21e zenon_H220 zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H6a zenon_H68 zenon_Hc0. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L424_); trivial. % 1.00/1.20 apply (zenon_L367_); trivial. % 1.00/1.20 (* end of lemma zenon_L425_ *) % 1.00/1.20 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(hskp7)) -> (~(hskp0)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H296 zenon_H94 zenon_H74 zenon_H121 zenon_H123 zenon_Hbf zenon_H11c zenon_H13c zenon_Haf zenon_H146 zenon_He8 zenon_H85 zenon_Hea zenon_H111 zenon_H10d zenon_H21e zenon_H220 zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L78_); trivial. % 1.00/1.20 apply (zenon_L425_); trivial. % 1.00/1.20 (* end of lemma zenon_L426_ *) % 1.00/1.20 assert (zenon_L427_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H146 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H3a zenon_H13 zenon_H12 zenon_H14 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.20 apply (zenon_L210_); trivial. % 1.00/1.20 apply (zenon_L363_); trivial. % 1.00/1.20 (* end of lemma zenon_L427_ *) % 1.00/1.20 assert (zenon_L428_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H10c zenon_H10d zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H14 zenon_H12 zenon_H13 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H146. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L427_); trivial. % 1.00/1.20 apply (zenon_L68_); trivial. % 1.00/1.20 (* end of lemma zenon_L428_ *) % 1.00/1.20 assert (zenon_L429_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H111 zenon_H10d zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_L84_); trivial. % 1.00/1.20 apply (zenon_L428_); trivial. % 1.00/1.20 (* end of lemma zenon_L429_ *) % 1.00/1.20 assert (zenon_L430_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_H100 zenon_Hfe zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H76 zenon_H77 zenon_H78 zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H10d zenon_H111. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_L429_); trivial. % 1.00/1.20 apply (zenon_L89_); trivial. % 1.00/1.20 (* end of lemma zenon_L430_ *) % 1.00/1.20 assert (zenon_L431_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H4b zenon_H4a zenon_H49 zenon_H10d zenon_H111. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.20 apply (zenon_L84_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.20 apply (zenon_L28_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.20 apply (zenon_L217_); trivial. % 1.00/1.20 apply (zenon_L68_); trivial. % 1.00/1.20 apply (zenon_L72_); trivial. % 1.00/1.20 (* end of lemma zenon_L431_ *) % 1.00/1.20 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.20 apply (zenon_L430_); trivial. % 1.00/1.20 apply (zenon_L431_); trivial. % 1.00/1.20 (* end of lemma zenon_L432_ *) % 1.00/1.20 assert (zenon_L433_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H148 zenon_H126 zenon_Hfa zenon_H22 zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hd zenon_H13a zenon_H5c zenon_Hdc. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.20 apply (zenon_L272_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.20 apply (zenon_L78_); trivial. % 1.00/1.20 apply (zenon_L432_); trivial. % 1.00/1.20 apply (zenon_L80_); trivial. % 1.00/1.20 apply (zenon_L370_); trivial. % 1.00/1.20 (* end of lemma zenon_L433_ *) % 1.00/1.20 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H27a zenon_H201 zenon_H1fd zenon_H85 zenon_H6d zenon_Hbf zenon_Haf zenon_H111 zenon_H10d zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H13c zenon_H1a2 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H188 zenon_Hc0 zenon_H33 zenon_H35 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H12 zenon_H13 zenon_H14 zenon_H26a zenon_H26c zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H97 zenon_H1f0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H173 zenon_H121. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L352_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L429_); trivial. % 1.00/1.21 apply (zenon_L386_); trivial. % 1.00/1.21 apply (zenon_L185_); trivial. % 1.00/1.21 (* end of lemma zenon_L434_ *) % 1.00/1.21 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_H6d zenon_Hbf zenon_Haf zenon_H111 zenon_H1e6 zenon_H100 zenon_H13c zenon_H1a2 zenon_H188 zenon_Hc0 zenon_H33 zenon_H35 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H12 zenon_H13 zenon_H14 zenon_H26a zenon_H26c zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H121 zenon_H173 zenon_H1ee zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H10d zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.21 apply (zenon_L347_); trivial. % 1.00/1.21 apply (zenon_L434_); trivial. % 1.00/1.21 (* end of lemma zenon_L435_ *) % 1.00/1.21 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hbc zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H280 zenon_H27f zenon_H27e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.21 apply (zenon_L280_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.21 apply (zenon_L388_); trivial. % 1.00/1.21 apply (zenon_L42_); trivial. % 1.00/1.21 (* end of lemma zenon_L436_ *) % 1.00/1.21 assert (zenon_L437_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hc0 zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_L99_); trivial. % 1.00/1.21 apply (zenon_L436_); trivial. % 1.00/1.21 (* end of lemma zenon_L437_ *) % 1.00/1.21 assert (zenon_L438_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H13 zenon_H12 zenon_H14 zenon_H1af zenon_H1ad zenon_Hc8 zenon_Hc6 zenon_H114 zenon_H115 zenon_H113 zenon_Hc1 zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H85 zenon_H1fd. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H200 ]. % 1.00/1.21 apply (zenon_L380_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H75 | zenon_intro zenon_H86 ]. % 1.00/1.21 apply (zenon_L390_); trivial. % 1.00/1.21 exact (zenon_H85 zenon_H86). % 1.00/1.21 apply (zenon_L436_); trivial. % 1.00/1.21 (* end of lemma zenon_L438_ *) % 1.00/1.21 assert (zenon_L439_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H146 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H3a zenon_H10 zenon_H27e zenon_H27f zenon_H280. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.21 apply (zenon_L28_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.21 apply (zenon_L210_); trivial. % 1.00/1.21 apply (zenon_L301_); trivial. % 1.00/1.21 (* end of lemma zenon_L439_ *) % 1.00/1.21 assert (zenon_L440_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> (~(hskp29)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp31)) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H10d zenon_H244 zenon_H245 zenon_H243 zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H146 zenon_H188 zenon_H97 zenon_H15f zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_Hfc zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H1f0 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L390_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L439_); trivial. % 1.00/1.21 apply (zenon_L383_); trivial. % 1.00/1.21 (* end of lemma zenon_L440_ *) % 1.00/1.21 assert (zenon_L441_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a118)) -> (c3_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp29)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H111 zenon_H39 zenon_H3b zenon_H3c zenon_H33 zenon_H1e6 zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H10 zenon_H146 zenon_H13 zenon_H12 zenon_H14 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_Ha7 zenon_Ha8 zenon_Ha6 zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H15f zenon_H97 zenon_H1f0 zenon_H10d. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.21 apply (zenon_L440_); trivial. % 1.00/1.21 apply (zenon_L178_); trivial. % 1.00/1.21 (* end of lemma zenon_L441_ *) % 1.00/1.21 assert (zenon_L442_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(hskp22)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H174 zenon_H10d zenon_H280 zenon_H27f zenon_H27e zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H146 zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H1ec. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L28_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L439_); trivial. % 1.00/1.21 apply (zenon_L315_); trivial. % 1.00/1.21 (* end of lemma zenon_L442_ *) % 1.00/1.21 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H27a zenon_H201 zenon_H1fd zenon_H85 zenon_H35 zenon_H33 zenon_H99 zenon_H97 zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H1e6 zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H1f0 zenon_H10d zenon_H1ee zenon_H173 zenon_Hbf zenon_H6d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L37_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.21 apply (zenon_L441_); trivial. % 1.00/1.21 apply (zenon_L442_); trivial. % 1.00/1.21 apply (zenon_L185_); trivial. % 1.00/1.21 (* end of lemma zenon_L443_ *) % 1.00/1.21 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_H35 zenon_H33 zenon_H99 zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H1e6 zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H188 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_Hbf zenon_H6d zenon_H173 zenon_H1ee zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H10d zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.21 apply (zenon_L347_); trivial. % 1.00/1.21 apply (zenon_L443_); trivial. % 1.00/1.21 (* end of lemma zenon_L444_ *) % 1.00/1.21 assert (zenon_L445_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H201 zenon_H1fd zenon_H85 zenon_H1f0 zenon_H97 zenon_H10 zenon_H243 zenon_H244 zenon_H245 zenon_H12 zenon_H13 zenon_H14 zenon_H255 zenon_H257 zenon_H76 zenon_H77 zenon_H78 zenon_H146 zenon_H280 zenon_H27f zenon_H27e zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H1ee zenon_H10d zenon_H173. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.21 apply (zenon_L275_); trivial. % 1.00/1.21 apply (zenon_L442_); trivial. % 1.00/1.21 apply (zenon_L185_); trivial. % 1.00/1.21 (* end of lemma zenon_L445_ *) % 1.00/1.21 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H296 zenon_H94 zenon_H27d zenon_Hbf zenon_H11c zenon_H68 zenon_H6a zenon_H13c zenon_H23c zenon_H111 zenon_H173 zenon_H10d zenon_H1ee zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H257 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.21 apply (zenon_L445_); trivial. % 1.00/1.21 apply (zenon_L305_); trivial. % 1.00/1.21 (* end of lemma zenon_L446_ *) % 1.00/1.21 assert (zenon_L447_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp16)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H188 zenon_H54 zenon_H55 zenon_H53 zenon_H7f zenon_H26a zenon_H113 zenon_H114 zenon_H115 zenon_H77 zenon_H76 zenon_H78 zenon_H26c zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.21 apply (zenon_L310_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.21 apply (zenon_L289_); trivial. % 1.00/1.21 apply (zenon_L9_); trivial. % 1.00/1.21 (* end of lemma zenon_L447_ *) % 1.00/1.21 assert (zenon_L448_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (~(hskp16)) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H11e zenon_H90 zenon_H14 zenon_H13 zenon_H12 zenon_H26c zenon_H78 zenon_H76 zenon_H77 zenon_H26a zenon_H53 zenon_H55 zenon_H54 zenon_H188 zenon_H8d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.21 apply (zenon_L28_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.21 apply (zenon_L447_); trivial. % 1.00/1.21 exact (zenon_H8d zenon_H8e). % 1.00/1.21 (* end of lemma zenon_L448_ *) % 1.00/1.21 assert (zenon_L449_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H121 zenon_H90 zenon_H26c zenon_H26a zenon_H12 zenon_H13 zenon_H14 zenon_H188 zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H100 zenon_H2d zenon_H97 zenon_Hf5 zenon_Hc0. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L412_); trivial. % 1.00/1.21 apply (zenon_L448_); trivial. % 1.00/1.21 (* end of lemma zenon_L449_ *) % 1.00/1.21 assert (zenon_L450_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H94 zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H111 zenon_H188 zenon_H26a zenon_H26c zenon_H90 zenon_H121 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L449_); trivial. % 1.00/1.21 apply (zenon_L145_); trivial. % 1.00/1.21 (* end of lemma zenon_L450_ *) % 1.00/1.21 assert (zenon_L451_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H8f zenon_H201 zenon_H1fd zenon_H85 zenon_H188 zenon_H14 zenon_H13 zenon_H12 zenon_H97 zenon_H1f0 zenon_H195 zenon_H194 zenon_H193 zenon_H146 zenon_H280 zenon_H27f zenon_H27e zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H1ee zenon_H10d zenon_H173. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.21 apply (zenon_L407_); trivial. % 1.00/1.21 apply (zenon_L442_); trivial. % 1.00/1.21 apply (zenon_L185_); trivial. % 1.00/1.21 (* end of lemma zenon_L451_ *) % 1.00/1.21 assert (zenon_L452_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H296 zenon_H94 zenon_H201 zenon_H1fd zenon_H85 zenon_H188 zenon_H97 zenon_H1f0 zenon_H195 zenon_H194 zenon_H193 zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H1ee zenon_H10d zenon_H173 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_L451_); trivial. % 1.00/1.21 (* end of lemma zenon_L452_ *) % 1.00/1.21 assert (zenon_L453_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H295 zenon_H201 zenon_H1fd zenon_H1f0 zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H1ee zenon_H10d zenon_H173 zenon_H121 zenon_H26c zenon_H188 zenon_H111 zenon_H13a zenon_Haf zenon_H100 zenon_H97 zenon_Hf5 zenon_Hc0 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H94. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.21 apply (zenon_L309_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.21 apply (zenon_L450_); trivial. % 1.00/1.21 apply (zenon_L452_); trivial. % 1.00/1.21 (* end of lemma zenon_L453_ *) % 1.00/1.21 assert (zenon_L454_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hbc zenon_Haf zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_H95. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.21 apply (zenon_L42_); trivial. % 1.00/1.21 apply (zenon_L199_); trivial. % 1.00/1.21 (* end of lemma zenon_L454_ *) % 1.00/1.21 assert (zenon_L455_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6d zenon_Hbf zenon_H111 zenon_H10d zenon_H1e6 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_Hfe zenon_H100 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H33 zenon_H35. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_L348_); trivial. % 1.00/1.21 apply (zenon_L454_); trivial. % 1.00/1.21 apply (zenon_L349_); trivial. % 1.00/1.21 (* end of lemma zenon_L455_ *) % 1.00/1.21 assert (zenon_L456_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_H35 zenon_H33 zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_H10d zenon_H111 zenon_Hbf zenon_H6d. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L455_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L205_); trivial. % 1.00/1.21 apply (zenon_L206_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L205_); trivial. % 1.00/1.21 apply (zenon_L207_); trivial. % 1.00/1.21 (* end of lemma zenon_L456_ *) % 1.00/1.21 assert (zenon_L457_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H13c zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H10d zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_L213_); trivial. % 1.00/1.21 (* end of lemma zenon_L457_ *) % 1.00/1.21 assert (zenon_L458_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H22 zenon_H94 zenon_Hbf zenon_H13c zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H10d zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H1b zenon_H19c. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.21 apply (zenon_L133_); trivial. % 1.00/1.21 apply (zenon_L457_); trivial. % 1.00/1.21 (* end of lemma zenon_L458_ *) % 1.00/1.21 assert (zenon_L459_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H155 zenon_Hb zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_H14e zenon_H14d zenon_H14c zenon_Hfa zenon_H9 zenon_H10d. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L229_); trivial. % 1.00/1.21 apply (zenon_L206_); trivial. % 1.00/1.21 apply (zenon_L230_); trivial. % 1.00/1.21 (* end of lemma zenon_L459_ *) % 1.00/1.21 assert (zenon_L460_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L110_); trivial. % 1.00/1.21 apply (zenon_L459_); trivial. % 1.00/1.21 (* end of lemma zenon_L460_ *) % 1.00/1.21 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_L99_); trivial. % 1.00/1.21 apply (zenon_L328_); trivial. % 1.00/1.21 (* end of lemma zenon_L461_ *) % 1.00/1.21 assert (zenon_L462_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H188 zenon_H17a zenon_H179 zenon_H178 zenon_H195 zenon_H194 zenon_H193 zenon_H10 zenon_H9 zenon_Hfa. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L267_); trivial. % 1.00/1.21 apply (zenon_L461_); trivial. % 1.00/1.21 (* end of lemma zenon_L462_ *) % 1.00/1.21 assert (zenon_L463_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H18a zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_Hfa zenon_H9 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L462_); trivial. % 1.00/1.21 apply (zenon_L268_); trivial. % 1.00/1.21 (* end of lemma zenon_L463_ *) % 1.00/1.21 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H13c zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L272_); trivial. % 1.00/1.21 apply (zenon_L237_); trivial. % 1.00/1.21 (* end of lemma zenon_L464_ *) % 1.00/1.21 assert (zenon_L465_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H122 zenon_H22 zenon_H146 zenon_H13c zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L329_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L64_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.21 apply (zenon_L307_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.21 apply (zenon_L54_); trivial. % 1.00/1.21 apply (zenon_L207_); trivial. % 1.00/1.21 apply (zenon_L235_); trivial. % 1.00/1.21 apply (zenon_L464_); trivial. % 1.00/1.21 (* end of lemma zenon_L465_ *) % 1.00/1.21 assert (zenon_L466_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H202 zenon_H192 zenon_H126 zenon_H18d zenon_H188 zenon_H173 zenon_Hcf zenon_H155 zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H11c zenon_H121 zenon_H1a2 zenon_H13a zenon_Hdc zenon_H19c zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H111 zenon_H10d zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H209 zenon_H20a zenon_H20b zenon_H146 zenon_H13c zenon_Hbf zenon_H94 zenon_H22. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.21 apply (zenon_L458_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.21 apply (zenon_L460_); trivial. % 1.00/1.21 apply (zenon_L463_); trivial. % 1.00/1.21 apply (zenon_L231_); trivial. % 1.00/1.21 apply (zenon_L457_); trivial. % 1.00/1.21 apply (zenon_L233_); trivial. % 1.00/1.21 apply (zenon_L465_); trivial. % 1.00/1.21 (* end of lemma zenon_L466_ *) % 1.00/1.21 assert (zenon_L467_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H5e zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9. % 1.00/1.21 generalize (zenon_H5e (a104)). zenon_intro zenon_H2aa. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ab ]. % 1.00/1.21 exact (zenon_Hf zenon_H10). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 1.00/1.21 exact (zenon_H2a7 zenon_H2ad). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 1.00/1.21 exact (zenon_H2af zenon_H2a8). % 1.00/1.21 exact (zenon_H2ae zenon_H2a9). % 1.00/1.21 (* end of lemma zenon_L467_ *) % 1.00/1.21 assert (zenon_L468_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp21)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H15f zenon_H161. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H5e | zenon_intro zenon_H164 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H160 | zenon_intro zenon_H162 ]. % 1.00/1.21 exact (zenon_H15f zenon_H160). % 1.00/1.21 exact (zenon_H161 zenon_H162). % 1.00/1.21 (* end of lemma zenon_L468_ *) % 1.00/1.21 assert (zenon_L469_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H16e zenon_H166 zenon_H165 zenon_H10 zenon_Hfc. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.21 apply (zenon_L135_); trivial. % 1.00/1.21 exact (zenon_Hfc zenon_Hfd). % 1.00/1.21 (* end of lemma zenon_L469_ *) % 1.00/1.21 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(hskp14)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H10c zenon_H6a zenon_H33 zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H68. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.21 apply (zenon_L177_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 exact (zenon_H68 zenon_H69). % 1.00/1.21 (* end of lemma zenon_L470_ *) % 1.00/1.21 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H174 zenon_H111 zenon_H6a zenon_H68 zenon_H39 zenon_H3b zenon_H3c zenon_H33 zenon_H1e6 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.21 apply (zenon_L469_); trivial. % 1.00/1.21 apply (zenon_L470_); trivial. % 1.00/1.21 (* end of lemma zenon_L471_ *) % 1.00/1.21 assert (zenon_L472_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6d zenon_H173 zenon_H111 zenon_H6a zenon_H68 zenon_H1e6 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163 zenon_H33 zenon_H35. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.21 apply (zenon_L468_); trivial. % 1.00/1.21 apply (zenon_L471_); trivial. % 1.00/1.21 (* end of lemma zenon_L472_ *) % 1.00/1.21 assert (zenon_L473_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hcf zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H2f. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H5e | zenon_intro zenon_Hd0 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H7f | zenon_intro zenon_H30 ]. % 1.00/1.21 apply (zenon_L45_); trivial. % 1.00/1.21 exact (zenon_H2f zenon_H30). % 1.00/1.21 (* end of lemma zenon_L473_ *) % 1.00/1.21 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hd5 zenon_H94 zenon_H90 zenon_H8d zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hcf. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L473_); trivial. % 1.00/1.21 apply (zenon_L50_); trivial. % 1.00/1.21 (* end of lemma zenon_L474_ *) % 1.00/1.21 assert (zenon_L475_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hd9 zenon_H94 zenon_H90 zenon_H8d zenon_Hcf zenon_H6d zenon_H173 zenon_H111 zenon_H6a zenon_H1e6 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H33 zenon_H35 zenon_H188 zenon_H18d. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.21 apply (zenon_L472_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.21 apply (zenon_L18_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.21 apply (zenon_L117_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 exact (zenon_H68 zenon_H69). % 1.00/1.21 apply (zenon_L474_); trivial. % 1.00/1.21 (* end of lemma zenon_L475_ *) % 1.00/1.21 assert (zenon_L476_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H68. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.21 apply (zenon_L54_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 exact (zenon_H68 zenon_H69). % 1.00/1.21 (* end of lemma zenon_L476_ *) % 1.00/1.21 assert (zenon_L477_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp31)) -> (ndr1_0) -> (c2_1 (a118)) -> (c3_1 (a118)) -> (c1_1 (a118)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1f0 zenon_Hfc zenon_H10 zenon_Ha7 zenon_Ha8 zenon_Ha6 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H15f zenon_H97. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.21 apply (zenon_L176_); trivial. % 1.00/1.21 exact (zenon_Hfc zenon_Hfd). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.21 exact (zenon_H15f zenon_H160). % 1.00/1.21 exact (zenon_H97 zenon_H98). % 1.00/1.21 (* end of lemma zenon_L477_ *) % 1.00/1.21 assert (zenon_L478_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c3_1 (a141)) -> (c0_1 (a141)) -> (ndr1_0) -> (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hf5 zenon_H105 zenon_H103 zenon_H10 zenon_H1ca zenon_H2d zenon_H97. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf6 ]. % 1.00/1.21 apply (zenon_L171_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H2e | zenon_intro zenon_H98 ]. % 1.00/1.21 exact (zenon_H2d zenon_H2e). % 1.00/1.21 exact (zenon_H97 zenon_H98). % 1.00/1.21 (* end of lemma zenon_L478_ *) % 1.00/1.21 assert (zenon_L479_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a141)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c3_1 (a141)) -> (c0_1 (a141)) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp11)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H104 zenon_H9b zenon_Hf5 zenon_H105 zenon_H103 zenon_H10 zenon_H2d zenon_H97. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.21 apply (zenon_L86_); trivial. % 1.00/1.21 apply (zenon_L478_); trivial. % 1.00/1.21 (* end of lemma zenon_L479_ *) % 1.00/1.21 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H10c zenon_Hf5 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H2d zenon_H97. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf6 ]. % 1.00/1.21 apply (zenon_L479_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H2e | zenon_intro zenon_H98 ]. % 1.00/1.21 exact (zenon_H2d zenon_H2e). % 1.00/1.21 exact (zenon_H97 zenon_H98). % 1.00/1.21 (* end of lemma zenon_L480_ *) % 1.00/1.21 assert (zenon_L481_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H174 zenon_H111 zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.21 apply (zenon_L469_); trivial. % 1.00/1.21 apply (zenon_L480_); trivial. % 1.00/1.21 (* end of lemma zenon_L481_ *) % 1.00/1.21 assert (zenon_L482_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H1ce zenon_H2d zenon_Hf5 zenon_H111. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.21 apply (zenon_L477_); trivial. % 1.00/1.21 apply (zenon_L480_); trivial. % 1.00/1.21 apply (zenon_L481_); trivial. % 1.00/1.21 (* end of lemma zenon_L482_ *) % 1.00/1.21 assert (zenon_L483_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_Hf5 zenon_H1ce zenon_H1a2 zenon_H97 zenon_H1f0 zenon_H173 zenon_Hbf zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L473_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L64_); trivial. % 1.00/1.21 apply (zenon_L482_); trivial. % 1.00/1.21 apply (zenon_L74_); trivial. % 1.00/1.21 (* end of lemma zenon_L483_ *) % 1.00/1.21 assert (zenon_L484_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H122 zenon_Hd9 zenon_H22 zenon_Hc1 zenon_H99 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3 zenon_Hcf zenon_Hbf zenon_H173 zenon_H1f0 zenon_H97 zenon_H1a2 zenon_H1ce zenon_Hf5 zenon_H111 zenon_Hfa zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H74 zenon_H94 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.21 apply (zenon_L483_); trivial. % 1.00/1.21 apply (zenon_L75_); trivial. % 1.00/1.21 (* end of lemma zenon_L484_ *) % 1.00/1.21 assert (zenon_L485_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H126 zenon_H22 zenon_Hc1 zenon_H99 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3 zenon_Hbf zenon_H1f0 zenon_H97 zenon_H1ce zenon_Hf5 zenon_Hfa zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H74 zenon_H18d zenon_H188 zenon_H35 zenon_H33 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1e6 zenon_H6a zenon_H111 zenon_H173 zenon_H6d zenon_Hcf zenon_H90 zenon_H94 zenon_Hd9. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.21 apply (zenon_L475_); trivial. % 1.00/1.21 apply (zenon_L484_); trivial. % 1.00/1.21 (* end of lemma zenon_L485_ *) % 1.00/1.21 assert (zenon_L486_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.21 apply (zenon_L473_); trivial. % 1.00/1.21 apply (zenon_L82_); trivial. % 1.00/1.21 (* end of lemma zenon_L486_ *) % 1.00/1.21 assert (zenon_L487_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H255. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H5e | zenon_intro zenon_H258 ]. % 1.00/1.21 apply (zenon_L467_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 1.00/1.21 apply (zenon_L9_); trivial. % 1.00/1.21 exact (zenon_H255 zenon_H256). % 1.00/1.21 (* end of lemma zenon_L487_ *) % 1.00/1.21 assert (zenon_L488_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H146 zenon_H111. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L285_); trivial. % 1.00/1.21 apply (zenon_L72_); trivial. % 1.00/1.21 (* end of lemma zenon_L488_ *) % 1.00/1.21 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H27a zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.21 apply (zenon_L286_); trivial. % 1.00/1.21 apply (zenon_L488_); trivial. % 1.00/1.21 (* end of lemma zenon_L489_ *) % 1.00/1.21 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H6c zenon_H27d zenon_H121 zenon_H11c zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H12 zenon_H13 zenon_H14 zenon_H257. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_L489_); trivial. % 1.00/1.21 (* end of lemma zenon_L490_ *) % 1.00/1.21 assert (zenon_L491_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H8f zenon_H74 zenon_H27d zenon_H121 zenon_H11c zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H12 zenon_H13 zenon_H14 zenon_H257 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.21 apply (zenon_L78_); trivial. % 1.00/1.21 apply (zenon_L490_); trivial. % 1.00/1.21 (* end of lemma zenon_L491_ *) % 1.00/1.21 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H148 zenon_H126 zenon_H22 zenon_H27d zenon_H146 zenon_H23c zenon_H13c zenon_H257 zenon_H127 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H74 zenon_H18d zenon_H188 zenon_H35 zenon_H33 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1e6 zenon_H6a zenon_H111 zenon_H173 zenon_H6d zenon_Hcf zenon_H90 zenon_H94 zenon_Hd9. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.21 apply (zenon_L475_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L486_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L473_); trivial. % 1.00/1.22 apply (zenon_L491_); trivial. % 1.00/1.22 (* end of lemma zenon_L492_ *) % 1.00/1.22 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H174 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_L98_); trivial. % 1.00/1.22 (* end of lemma zenon_L493_ *) % 1.00/1.22 assert (zenon_L494_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_L493_); trivial. % 1.00/1.22 (* end of lemma zenon_L494_ *) % 1.00/1.22 assert (zenon_L495_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H22 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_H173 zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_L141_); trivial. % 1.00/1.22 (* end of lemma zenon_L495_ *) % 1.00/1.22 assert (zenon_L496_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_L481_); trivial. % 1.00/1.22 (* end of lemma zenon_L496_ *) % 1.00/1.22 assert (zenon_L497_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H74 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H173 zenon_H111 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H9 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H1f0 zenon_Hbf zenon_H18d. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L496_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L267_); trivial. % 1.00/1.22 apply (zenon_L482_); trivial. % 1.00/1.22 apply (zenon_L145_); trivial. % 1.00/1.22 (* end of lemma zenon_L497_ *) % 1.00/1.22 assert (zenon_L498_ : (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c3_1 (a143)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ca zenon_H10 zenon_H179 zenon_H3a zenon_H17a. % 1.00/1.22 generalize (zenon_H1ca (a143)). zenon_intro zenon_H2b0. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b1 ]. % 1.00/1.22 exact (zenon_Hf zenon_H10). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H180 | zenon_intro zenon_H187 ]. % 1.00/1.22 exact (zenon_H179 zenon_H180). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H181 | zenon_intro zenon_H17f ]. % 1.00/1.22 apply (zenon_L115_); trivial. % 1.00/1.22 exact (zenon_H17f zenon_H17a). % 1.00/1.22 (* end of lemma zenon_L498_ *) % 1.00/1.22 assert (zenon_L499_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (ndr1_0) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c3_1 (a143)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H179 zenon_H3a zenon_H17a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 apply (zenon_L498_); trivial. % 1.00/1.22 (* end of lemma zenon_L499_ *) % 1.00/1.22 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(hskp14)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18a zenon_H6a zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H68. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.22 apply (zenon_L499_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 exact (zenon_H68 zenon_H69). % 1.00/1.22 (* end of lemma zenon_L500_ *) % 1.00/1.22 assert (zenon_L501_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_H6a zenon_H68 zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H173. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_L500_); trivial. % 1.00/1.22 (* end of lemma zenon_L501_ *) % 1.00/1.22 assert (zenon_L502_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hfa zenon_H17a zenon_H179 zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H9 zenon_H95. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.22 apply (zenon_L499_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.22 exact (zenon_H9 zenon_Ha). % 1.00/1.22 exact (zenon_H95 zenon_H96). % 1.00/1.22 (* end of lemma zenon_L502_ *) % 1.00/1.22 assert (zenon_L503_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_Hbf zenon_H1f0 zenon_H97 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_H9 zenon_Hfa zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H173. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L502_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L477_); trivial. % 1.00/1.22 apply (zenon_L98_); trivial. % 1.00/1.22 apply (zenon_L493_); trivial. % 1.00/1.22 (* end of lemma zenon_L503_ *) % 1.00/1.22 assert (zenon_L504_ : (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ca zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.22 generalize (zenon_H1ca (a141)). zenon_intro zenon_H1cb. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cc ]. % 1.00/1.22 exact (zenon_Hf zenon_H10). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H145 | zenon_intro zenon_H1cd ]. % 1.00/1.22 apply (zenon_L258_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 1.00/1.22 exact (zenon_H109 zenon_H103). % 1.00/1.22 exact (zenon_H10a zenon_H105). % 1.00/1.22 (* end of lemma zenon_L504_ *) % 1.00/1.22 assert (zenon_L505_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 apply (zenon_L504_); trivial. % 1.00/1.22 (* end of lemma zenon_L505_ *) % 1.00/1.22 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_H146 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H13 zenon_H12 zenon_H14 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H209 zenon_H20a zenon_H20b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L38_); trivial. % 1.00/1.22 apply (zenon_L505_); trivial. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 (* end of lemma zenon_L506_ *) % 1.00/1.22 assert (zenon_L507_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H8f zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Haf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H146 zenon_H111. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L84_); trivial. % 1.00/1.22 apply (zenon_L506_); trivial. % 1.00/1.22 apply (zenon_L212_); trivial. % 1.00/1.22 (* end of lemma zenon_L507_ *) % 1.00/1.22 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H13c zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H146 zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L473_); trivial. % 1.00/1.22 apply (zenon_L507_); trivial. % 1.00/1.22 (* end of lemma zenon_L508_ *) % 1.00/1.22 assert (zenon_L509_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd9 zenon_H22 zenon_H94 zenon_H13c zenon_Haf zenon_H146 zenon_Hcf zenon_Hfa zenon_H97 zenon_H1f0 zenon_Hbf zenon_H173 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_H6a zenon_H18d. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L501_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L503_); trivial. % 1.00/1.22 apply (zenon_L508_); trivial. % 1.00/1.22 (* end of lemma zenon_L509_ *) % 1.00/1.22 assert (zenon_L510_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60)))))) -> (c0_1 (a116)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hc8 zenon_Hc6 zenon_H1a4 zenon_Hc7 zenon_H10 zenon_Hfc. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.22 apply (zenon_L151_); trivial. % 1.00/1.22 exact (zenon_Hfc zenon_Hfd). % 1.00/1.22 (* end of lemma zenon_L510_ *) % 1.00/1.22 assert (zenon_L511_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp31)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1af zenon_Hfc zenon_Hc7 zenon_Hc6 zenon_Hc8 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H55 zenon_H54 zenon_H53 zenon_H10 zenon_H1ad. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.00/1.22 apply (zenon_L510_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H52 | zenon_intro zenon_H1ae ]. % 1.00/1.22 apply (zenon_L21_); trivial. % 1.00/1.22 exact (zenon_H1ad zenon_H1ae). % 1.00/1.22 (* end of lemma zenon_L511_ *) % 1.00/1.22 assert (zenon_L512_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H9b zenon_H103 zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 apply (zenon_L171_); trivial. % 1.00/1.22 (* end of lemma zenon_L512_ *) % 1.00/1.22 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L512_); trivial. % 1.00/1.22 apply (zenon_L505_); trivial. % 1.00/1.22 (* end of lemma zenon_L513_ *) % 1.00/1.22 assert (zenon_L514_ : (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (~(c2_1 (a134))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ca zenon_H10 zenon_H1ba zenon_H1b1 zenon_H1b3. % 1.00/1.22 generalize (zenon_H1ca (a134)). zenon_intro zenon_H2b2. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b3 ]. % 1.00/1.22 exact (zenon_Hf zenon_H10). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c1 ]. % 1.00/1.22 exact (zenon_H1ba zenon_H1be). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b8 ]. % 1.00/1.22 exact (zenon_H1b7 zenon_H1b1). % 1.00/1.22 exact (zenon_H1b8 zenon_H1b3). % 1.00/1.22 (* end of lemma zenon_L514_ *) % 1.00/1.22 assert (zenon_L515_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1c2 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 apply (zenon_L514_); trivial. % 1.00/1.22 (* end of lemma zenon_L515_ *) % 1.00/1.22 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd5 zenon_H94 zenon_H1c5 zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H1a2 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hcf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L473_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L511_); trivial. % 1.00/1.22 apply (zenon_L513_); trivial. % 1.00/1.22 apply (zenon_L515_); trivial. % 1.00/1.22 (* end of lemma zenon_L516_ *) % 1.00/1.22 assert (zenon_L517_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_H94 zenon_H1c5 zenon_H1af zenon_H1a2 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_Hcf zenon_Hdd zenon_Hde zenon_Hdf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_L516_); trivial. % 1.00/1.22 (* end of lemma zenon_L517_ *) % 1.00/1.22 assert (zenon_L518_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hdc zenon_H74 zenon_H5c zenon_H13a zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H18d zenon_H6a zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_H173 zenon_Hcf zenon_H8d zenon_H90 zenon_H94 zenon_Hd9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L501_); trivial. % 1.00/1.22 apply (zenon_L474_); trivial. % 1.00/1.22 apply (zenon_L80_); trivial. % 1.00/1.22 (* end of lemma zenon_L518_ *) % 1.00/1.22 assert (zenon_L519_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H78 zenon_H77 zenon_H76 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_L513_); trivial. % 1.00/1.22 (* end of lemma zenon_L519_ *) % 1.00/1.22 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H17a zenon_H179 zenon_H209 zenon_H20a zenon_H20b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.22 apply (zenon_L499_); trivial. % 1.00/1.22 apply (zenon_L68_); trivial. % 1.00/1.22 (* end of lemma zenon_L520_ *) % 1.00/1.22 assert (zenon_L521_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H111 zenon_H10d zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H209 zenon_H20a zenon_H20b zenon_H179 zenon_H17a zenon_H1ce zenon_H78 zenon_H77 zenon_H76 zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L67_); trivial. % 1.00/1.22 apply (zenon_L520_); trivial. % 1.00/1.22 (* end of lemma zenon_L521_ *) % 1.00/1.22 assert (zenon_L522_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H1ce zenon_H17a zenon_H179 zenon_H20b zenon_H20a zenon_H209 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H9 zenon_Hfa. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L502_); trivial. % 1.00/1.22 apply (zenon_L72_); trivial. % 1.00/1.22 (* end of lemma zenon_L522_ *) % 1.00/1.22 assert (zenon_L523_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H8f zenon_H74 zenon_H18d zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_H100 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_H173 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L78_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L519_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L502_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.22 apply (zenon_L521_); trivial. % 1.00/1.22 apply (zenon_L43_); trivial. % 1.00/1.22 apply (zenon_L522_); trivial. % 1.00/1.22 (* end of lemma zenon_L523_ *) % 1.00/1.22 assert (zenon_L524_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H94 zenon_H74 zenon_H18d zenon_H121 zenon_H11c zenon_Hfa zenon_H9 zenon_H10d zenon_H100 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H1a2 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_H173 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L473_); trivial. % 1.00/1.22 apply (zenon_L523_); trivial. % 1.00/1.22 (* end of lemma zenon_L524_ *) % 1.00/1.22 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H13c zenon_H146 zenon_Hcf zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1a2 zenon_H163 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H18d zenon_H74 zenon_H94. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L524_); trivial. % 1.00/1.22 apply (zenon_L508_); trivial. % 1.00/1.22 (* end of lemma zenon_L525_ *) % 1.00/1.22 assert (zenon_L526_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H122 zenon_Hd9 zenon_H22 zenon_H13c zenon_H146 zenon_Hcf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1a2 zenon_H163 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H18d zenon_H74 zenon_H94 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_L525_); trivial. % 1.00/1.22 (* end of lemma zenon_L526_ *) % 1.00/1.22 assert (zenon_L527_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18e zenon_H18f zenon_Hc0 zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H90 zenon_H127 zenon_H5c zenon_H74 zenon_Hdc zenon_H13a zenon_H18d zenon_H6a zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H155 zenon_H111 zenon_H173 zenon_Hbf zenon_H1f0 zenon_Hfa zenon_Hcf zenon_H146 zenon_Haf zenon_H13c zenon_H94 zenon_H22 zenon_Hd9 zenon_H1af zenon_H1c5 zenon_H126. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.22 apply (zenon_L509_); trivial. % 1.00/1.22 apply (zenon_L233_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.22 apply (zenon_L509_); trivial. % 1.00/1.22 apply (zenon_L517_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.22 apply (zenon_L518_); trivial. % 1.00/1.22 apply (zenon_L526_); trivial. % 1.00/1.22 (* end of lemma zenon_L527_ *) % 1.00/1.22 assert (zenon_L528_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209 zenon_Hf5 zenon_H2d zenon_H97. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L192_); trivial. % 1.00/1.22 apply (zenon_L478_); trivial. % 1.00/1.22 (* end of lemma zenon_L528_ *) % 1.00/1.22 assert (zenon_L529_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_H1ce zenon_H2d zenon_H97 zenon_Hf5 zenon_H20b zenon_H20a zenon_H209 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_L528_); trivial. % 1.00/1.22 (* end of lemma zenon_L529_ *) % 1.00/1.22 assert (zenon_L530_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (c0_1 (a131)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hb4 zenon_Hb5 zenon_H11 zenon_Hb3 zenon_H10 zenon_Hfc. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.22 apply (zenon_L221_); trivial. % 1.00/1.22 exact (zenon_Hfc zenon_Hfd). % 1.00/1.22 (* end of lemma zenon_L530_ *) % 1.00/1.22 assert (zenon_L531_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (ndr1_0) -> (~(hskp31)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H17a zenon_H179 zenon_H178 zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H10 zenon_Hfc. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.22 apply (zenon_L132_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.22 apply (zenon_L114_); trivial. % 1.00/1.22 apply (zenon_L530_); trivial. % 1.00/1.22 (* end of lemma zenon_L531_ *) % 1.00/1.22 assert (zenon_L532_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hbc zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H193 zenon_H194 zenon_H195 zenon_H178 zenon_H179 zenon_H17a zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H188. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L531_); trivial. % 1.00/1.22 apply (zenon_L98_); trivial. % 1.00/1.22 (* end of lemma zenon_L532_ *) % 1.00/1.22 assert (zenon_L533_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hc0 zenon_H193 zenon_H194 zenon_H195 zenon_H178 zenon_H179 zenon_H17a zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H188 zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.22 apply (zenon_L99_); trivial. % 1.00/1.22 apply (zenon_L532_); trivial. % 1.00/1.22 (* end of lemma zenon_L533_ *) % 1.00/1.22 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_H18d zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H100 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H173. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.22 apply (zenon_L533_); trivial. % 1.00/1.22 apply (zenon_L112_); trivial. % 1.00/1.22 (* end of lemma zenon_L534_ *) % 1.00/1.22 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_H1c5 zenon_H1af zenon_H18d zenon_H6a zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H209 zenon_H20a zenon_H20b zenon_Hf5 zenon_H97 zenon_H1ce zenon_H111 zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L529_); trivial. % 1.00/1.22 apply (zenon_L500_); trivial. % 1.00/1.22 apply (zenon_L145_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L511_); trivial. % 1.00/1.22 apply (zenon_L528_); trivial. % 1.00/1.22 apply (zenon_L145_); trivial. % 1.00/1.22 apply (zenon_L515_); trivial. % 1.00/1.22 (* end of lemma zenon_L535_ *) % 1.00/1.22 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d zenon_H74 zenon_H18d zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H100 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H173 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L78_); trivial. % 1.00/1.22 apply (zenon_L534_); trivial. % 1.00/1.22 (* end of lemma zenon_L536_ *) % 1.00/1.22 assert (zenon_L537_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18e zenon_H18f zenon_H127 zenon_H22 zenon_H74 zenon_H121 zenon_H11c zenon_H13c zenon_H100 zenon_Hc0 zenon_Hf5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H173 zenon_H111 zenon_H155 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1f0 zenon_Hbf zenon_H18d zenon_H5c zenon_H6a zenon_H1af zenon_H1c5 zenon_Hd9 zenon_Hdc. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L503_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L529_); trivial. % 1.00/1.22 apply (zenon_L141_); trivial. % 1.00/1.22 apply (zenon_L534_); trivial. % 1.00/1.22 apply (zenon_L535_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_L78_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L494_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.22 apply (zenon_L533_); trivial. % 1.00/1.22 apply (zenon_L522_); trivial. % 1.00/1.22 apply (zenon_L536_); trivial. % 1.00/1.22 apply (zenon_L166_); trivial. % 1.00/1.22 (* end of lemma zenon_L537_ *) % 1.00/1.22 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H202 zenon_H192 zenon_H18f zenon_H127 zenon_H74 zenon_H121 zenon_H11c zenon_H13c zenon_H100 zenon_Hc0 zenon_Hf5 zenon_H188 zenon_H173 zenon_H111 zenon_H155 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1f0 zenon_Hbf zenon_H18d zenon_H5c zenon_H6a zenon_H1af zenon_H1c5 zenon_Hd9 zenon_Hdc zenon_H19c zenon_H3 zenon_H1e zenon_H22. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.22 apply (zenon_L134_); trivial. % 1.00/1.22 apply (zenon_L537_); trivial. % 1.00/1.22 (* end of lemma zenon_L538_ *) % 1.00/1.22 assert (zenon_L539_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H126 zenon_H22 zenon_H13c zenon_H146 zenon_H99 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hbf zenon_H1f0 zenon_H97 zenon_H1ce zenon_Hf5 zenon_Hfa zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H74 zenon_H18d zenon_H188 zenon_H35 zenon_H33 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1e6 zenon_H6a zenon_H111 zenon_H173 zenon_H6d zenon_Hcf zenon_H90 zenon_H94 zenon_Hd9. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.22 apply (zenon_L475_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L483_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L272_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L37_); trivial. % 1.00/1.22 apply (zenon_L482_); trivial. % 1.00/1.22 apply (zenon_L91_); trivial. % 1.00/1.22 (* end of lemma zenon_L539_ *) % 1.00/1.22 assert (zenon_L540_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18f zenon_H27d zenon_H23c zenon_H257 zenon_H127 zenon_Hd9 zenon_H94 zenon_H90 zenon_Hcf zenon_H6d zenon_H173 zenon_H111 zenon_H6a zenon_H1e6 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H33 zenon_H35 zenon_H188 zenon_H18d zenon_H74 zenon_H121 zenon_H11c zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hfa zenon_Hf5 zenon_H1ce zenon_H1f0 zenon_Hbf zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H99 zenon_H146 zenon_H13c zenon_H22 zenon_H126. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.22 apply (zenon_L539_); trivial. % 1.00/1.22 apply (zenon_L492_); trivial. % 1.00/1.22 (* end of lemma zenon_L540_ *) % 1.00/1.22 assert (zenon_L541_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a141)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a141)) -> (c3_1 (a141)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H104 zenon_H10 zenon_H9b zenon_H103 zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L86_); trivial. % 1.00/1.22 apply (zenon_L171_); trivial. % 1.00/1.22 (* end of lemma zenon_L541_ *) % 1.00/1.22 assert (zenon_L542_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L362_); trivial. % 1.00/1.22 apply (zenon_L504_); trivial. % 1.00/1.22 (* end of lemma zenon_L542_ *) % 1.00/1.22 assert (zenon_L543_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_Haf zenon_H1ce zenon_H78 zenon_H77 zenon_H76 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L541_); trivial. % 1.00/1.22 apply (zenon_L542_); trivial. % 1.00/1.22 (* end of lemma zenon_L543_ *) % 1.00/1.22 assert (zenon_L544_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp28)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H13c zenon_H17a zenon_H179 zenon_H3a zenon_H178 zenon_H10 zenon_Hfc zenon_H95. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H11 | zenon_intro zenon_H13d ]. % 1.00/1.22 apply (zenon_L116_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hfd | zenon_intro zenon_H96 ]. % 1.00/1.22 exact (zenon_Hfc zenon_Hfd). % 1.00/1.22 exact (zenon_H95 zenon_H96). % 1.00/1.22 (* end of lemma zenon_L544_ *) % 1.00/1.22 assert (zenon_L545_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp28)) -> (~(hskp31)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6a zenon_H95 zenon_Hfc zenon_H178 zenon_H179 zenon_H17a zenon_H13c zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H68. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.22 apply (zenon_L544_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 exact (zenon_H68 zenon_H69). % 1.00/1.22 (* end of lemma zenon_L545_ *) % 1.00/1.22 assert (zenon_L546_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H17a zenon_H179 zenon_H3a zenon_H178 zenon_H10 zenon_H255. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H5e | zenon_intro zenon_H258 ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 1.00/1.22 apply (zenon_L116_); trivial. % 1.00/1.22 exact (zenon_H255 zenon_H256). % 1.00/1.22 (* end of lemma zenon_L546_ *) % 1.00/1.22 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp20)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H255 zenon_H178 zenon_H179 zenon_H17a zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.22 apply (zenon_L546_); trivial. % 1.00/1.22 apply (zenon_L68_); trivial. % 1.00/1.22 (* end of lemma zenon_L547_ *) % 1.00/1.22 assert (zenon_L548_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H111 zenon_H10d zenon_H255 zenon_H257 zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H95 zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L545_); trivial. % 1.00/1.22 apply (zenon_L547_); trivial. % 1.00/1.22 (* end of lemma zenon_L548_ *) % 1.00/1.22 assert (zenon_L549_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Haf zenon_H111. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L67_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L541_); trivial. % 1.00/1.22 apply (zenon_L39_); trivial. % 1.00/1.22 apply (zenon_L43_); trivial. % 1.00/1.22 (* end of lemma zenon_L549_ *) % 1.00/1.22 assert (zenon_L550_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18a zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H111 zenon_H10d zenon_H255 zenon_H257 zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a zenon_Haf zenon_H1ce zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L548_); trivial. % 1.00/1.22 apply (zenon_L549_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L548_); trivial. % 1.00/1.22 apply (zenon_L72_); trivial. % 1.00/1.22 (* end of lemma zenon_L550_ *) % 1.00/1.22 assert (zenon_L551_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18d zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H10d zenon_H255 zenon_H257 zenon_H13c zenon_H68 zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H76 zenon_H77 zenon_H78 zenon_H1ce zenon_Haf zenon_H111 zenon_H173. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L543_); trivial. % 1.00/1.22 apply (zenon_L550_); trivial. % 1.00/1.22 (* end of lemma zenon_L551_ *) % 1.00/1.22 assert (zenon_L552_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (c0_1 (a141)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c3_1 (a143)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H105 zenon_H104 zenon_H103 zenon_H9b zenon_H10 zenon_H179 zenon_H3a zenon_H17a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.22 apply (zenon_L467_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.22 apply (zenon_L86_); trivial. % 1.00/1.22 apply (zenon_L498_); trivial. % 1.00/1.22 (* end of lemma zenon_L552_ *) % 1.00/1.22 assert (zenon_L553_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (c0_1 (a141)) -> (ndr1_0) -> (~(c2_1 (a143))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (c3_1 (a143)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Ha5 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H105 zenon_H104 zenon_H103 zenon_H10 zenon_H179 zenon_H3a zenon_H17a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.22 apply (zenon_L280_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.22 apply (zenon_L259_); trivial. % 1.00/1.22 apply (zenon_L552_); trivial. % 1.00/1.22 (* end of lemma zenon_L553_ *) % 1.00/1.22 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H10c zenon_H10d zenon_H17a zenon_H179 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H76 zenon_H77 zenon_H78 zenon_Haf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.22 apply (zenon_L28_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L552_); trivial. % 1.00/1.22 apply (zenon_L553_); trivial. % 1.00/1.22 apply (zenon_L68_); trivial. % 1.00/1.22 (* end of lemma zenon_L554_ *) % 1.00/1.22 assert (zenon_L555_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H111 zenon_H10d zenon_H1ce zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H95 zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L545_); trivial. % 1.00/1.22 apply (zenon_L554_); trivial. % 1.00/1.22 (* end of lemma zenon_L555_ *) % 1.00/1.22 assert (zenon_L556_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H18a zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H111 zenon_H10d zenon_H1ce zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L555_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L67_); trivial. % 1.00/1.22 apply (zenon_L554_); trivial. % 1.00/1.22 apply (zenon_L43_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.22 apply (zenon_L555_); trivial. % 1.00/1.22 apply (zenon_L72_); trivial. % 1.00/1.22 (* end of lemma zenon_L556_ *) % 1.00/1.22 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H6c zenon_H27d zenon_H23c zenon_H173 zenon_H111 zenon_Haf zenon_H1ce zenon_H78 zenon_H77 zenon_H76 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H6a zenon_H68 zenon_H13c zenon_H257 zenon_H10d zenon_H11c zenon_H121 zenon_H18d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.22 apply (zenon_L551_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L543_); trivial. % 1.00/1.22 apply (zenon_L556_); trivial. % 1.00/1.22 (* end of lemma zenon_L557_ *) % 1.00/1.22 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d zenon_H94 zenon_H74 zenon_H27d zenon_H23c zenon_Haf zenon_Hbf zenon_Hc0 zenon_H100 zenon_H6a zenon_H68 zenon_H13c zenon_H257 zenon_H10d zenon_H11c zenon_H121 zenon_H173 zenon_H111 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.22 apply (zenon_L272_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.22 apply (zenon_L496_); trivial. % 1.00/1.22 apply (zenon_L141_); trivial. % 1.00/1.22 apply (zenon_L557_); trivial. % 1.00/1.22 (* end of lemma zenon_L558_ *) % 1.00/1.22 assert (zenon_L559_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hd9 zenon_H8d zenon_H90 zenon_Hd zenon_Hb zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_H97 zenon_Hf5 zenon_H111 zenon_H173 zenon_H121 zenon_H11c zenon_H10d zenon_H257 zenon_H13c zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf zenon_Haf zenon_H23c zenon_H27d zenon_H74 zenon_H94 zenon_H22. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_L558_); trivial. % 1.00/1.22 apply (zenon_L308_); trivial. % 1.00/1.22 (* end of lemma zenon_L559_ *) % 1.00/1.22 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H174 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_L326_); trivial. % 1.00/1.22 (* end of lemma zenon_L560_ *) % 1.00/1.22 assert (zenon_L561_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.22 apply (zenon_L468_); trivial. % 1.00/1.22 apply (zenon_L560_); trivial. % 1.00/1.22 (* end of lemma zenon_L561_ *) % 1.00/1.22 assert (zenon_L562_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H174 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.22 apply (zenon_L469_); trivial. % 1.00/1.22 apply (zenon_L69_); trivial. % 1.00/1.22 (* end of lemma zenon_L562_ *) % 1.00/1.22 assert (zenon_L563_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H173 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_L468_); trivial. % 1.00/1.23 apply (zenon_L562_); trivial. % 1.00/1.23 (* end of lemma zenon_L563_ *) % 1.00/1.23 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H17a zenon_H179 zenon_H178 zenon_H193 zenon_H194 zenon_H195 zenon_H188. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.23 apply (zenon_L28_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.23 apply (zenon_L266_); trivial. % 1.00/1.23 apply (zenon_L68_); trivial. % 1.00/1.23 (* end of lemma zenon_L564_ *) % 1.00/1.23 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H174 zenon_H111 zenon_H10d zenon_H193 zenon_H194 zenon_H195 zenon_H178 zenon_H179 zenon_H17a zenon_H188 zenon_H78 zenon_H77 zenon_H76 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L469_); trivial. % 1.00/1.23 apply (zenon_L564_); trivial. % 1.00/1.23 (* end of lemma zenon_L565_ *) % 1.00/1.23 assert (zenon_L566_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H18a zenon_Hbf zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H76 zenon_H77 zenon_H78 zenon_H10d zenon_H111 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H9 zenon_Hfa. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L267_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L477_); trivial. % 1.00/1.23 apply (zenon_L564_); trivial. % 1.00/1.23 apply (zenon_L565_); trivial. % 1.00/1.23 (* end of lemma zenon_L566_ *) % 1.00/1.23 assert (zenon_L567_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H8f zenon_H18d zenon_Hbf zenon_H1f0 zenon_H97 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H9 zenon_Hfa zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H173. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_L563_); trivial. % 1.00/1.23 apply (zenon_L566_); trivial. % 1.00/1.23 (* end of lemma zenon_L567_ *) % 1.00/1.23 assert (zenon_L568_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H94 zenon_H173 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H9 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H97 zenon_H1f0 zenon_Hbf zenon_H18d. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_L561_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L267_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L477_); trivial. % 1.00/1.23 apply (zenon_L326_); trivial. % 1.00/1.23 apply (zenon_L560_); trivial. % 1.00/1.23 apply (zenon_L567_); trivial. % 1.00/1.23 (* end of lemma zenon_L568_ *) % 1.00/1.23 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1d zenon_H94 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H173 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.23 apply (zenon_L272_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_L563_); trivial. % 1.00/1.23 apply (zenon_L141_); trivial. % 1.00/1.23 (* end of lemma zenon_L569_ *) % 1.00/1.23 assert (zenon_L570_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H122 zenon_H22 zenon_H18d zenon_Hbf zenon_H1f0 zenon_H97 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_Hfa zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H173 zenon_H94. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L568_); trivial. % 1.00/1.23 apply (zenon_L569_); trivial. % 1.00/1.23 (* end of lemma zenon_L570_ *) % 1.00/1.23 assert (zenon_L571_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H126 zenon_H1f0 zenon_Hfa zenon_Hd9 zenon_H90 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_H97 zenon_Hf5 zenon_H111 zenon_H173 zenon_H121 zenon_H11c zenon_H10d zenon_H257 zenon_H13c zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf zenon_Haf zenon_H23c zenon_H27d zenon_H74 zenon_H94 zenon_H22 zenon_H85 zenon_H87 zenon_Hcf zenon_Hdc. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.23 apply (zenon_L559_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L309_); trivial. % 1.00/1.23 apply (zenon_L558_); trivial. % 1.00/1.23 apply (zenon_L474_); trivial. % 1.00/1.23 apply (zenon_L570_); trivial. % 1.00/1.23 (* end of lemma zenon_L571_ *) % 1.00/1.23 assert (zenon_L572_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(hskp20)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H245 zenon_H243 zenon_H10 zenon_H75 zenon_H255. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H5e | zenon_intro zenon_H258 ]. % 1.00/1.23 apply (zenon_L467_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 1.00/1.23 apply (zenon_L306_); trivial. % 1.00/1.23 exact (zenon_H255 zenon_H256). % 1.00/1.23 (* end of lemma zenon_L572_ *) % 1.00/1.23 assert (zenon_L573_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H129 zenon_H128 zenon_H12a zenon_H38 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.23 apply (zenon_L467_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.23 apply (zenon_L79_); trivial. % 1.00/1.23 apply (zenon_L504_); trivial. % 1.00/1.23 (* end of lemma zenon_L573_ *) % 1.00/1.23 assert (zenon_L574_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a141)) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H5c zenon_H103 zenon_H105 zenon_H104 zenon_Ha5 zenon_H12a zenon_H128 zenon_H129 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H4b zenon_H4a zenon_H49 zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.00/1.23 apply (zenon_L573_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.00/1.23 apply (zenon_L20_); trivial. % 1.00/1.23 apply (zenon_L21_); trivial. % 1.00/1.23 (* end of lemma zenon_L574_ *) % 1.00/1.23 assert (zenon_L575_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp20)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_Haf zenon_H255 zenon_H243 zenon_H245 zenon_H257 zenon_H5c zenon_H12a zenon_H128 zenon_H129 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H4b zenon_H4a zenon_H49 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.23 apply (zenon_L572_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L541_); trivial. % 1.00/1.23 apply (zenon_L574_); trivial. % 1.00/1.23 (* end of lemma zenon_L575_ *) % 1.00/1.23 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H174 zenon_H111 zenon_Haf zenon_H129 zenon_H128 zenon_H12a zenon_H49 zenon_H4a zenon_H4b zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H1ce zenon_H243 zenon_H245 zenon_H255 zenon_H257 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L469_); trivial. % 1.00/1.23 apply (zenon_L575_); trivial. % 1.00/1.23 (* end of lemma zenon_L576_ *) % 1.00/1.23 assert (zenon_L577_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H173 zenon_H111 zenon_Haf zenon_H129 zenon_H128 zenon_H12a zenon_H49 zenon_H4a zenon_H4b zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H1ce zenon_H243 zenon_H245 zenon_H255 zenon_H257 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_L468_); trivial. % 1.00/1.23 apply (zenon_L576_); trivial. % 1.00/1.23 (* end of lemma zenon_L577_ *) % 1.00/1.23 assert (zenon_L578_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H111 zenon_Haf zenon_H129 zenon_H128 zenon_H12a zenon_H49 zenon_H4a zenon_H4b zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H1ce zenon_H243 zenon_H245 zenon_H255 zenon_H257 zenon_H13c zenon_H95 zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L545_); trivial. % 1.00/1.23 apply (zenon_L575_); trivial. % 1.00/1.23 (* end of lemma zenon_L578_ *) % 1.00/1.23 assert (zenon_L579_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H18d zenon_H121 zenon_H11c zenon_H13c zenon_H68 zenon_H6a zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H257 zenon_H255 zenon_H245 zenon_H243 zenon_H1ce zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H4b zenon_H4a zenon_H49 zenon_H12a zenon_H128 zenon_H129 zenon_Haf zenon_H111 zenon_H173. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_L577_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L578_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_L575_); trivial. % 1.00/1.23 apply (zenon_L328_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L578_); trivial. % 1.00/1.23 apply (zenon_L72_); trivial. % 1.00/1.23 (* end of lemma zenon_L579_ *) % 1.00/1.23 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H10d zenon_H17a zenon_H179 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H2f zenon_Haf. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.23 apply (zenon_L307_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.23 apply (zenon_L307_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L541_); trivial. % 1.00/1.23 apply (zenon_L553_); trivial. % 1.00/1.23 apply (zenon_L68_); trivial. % 1.00/1.23 (* end of lemma zenon_L580_ *) % 1.00/1.23 assert (zenon_L581_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H111 zenon_H10d zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H23c zenon_H179 zenon_H17a zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_L580_); trivial. % 1.00/1.23 (* end of lemma zenon_L581_ *) % 1.00/1.23 assert (zenon_L582_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a131)) -> (c3_1 (a131)) -> (c2_1 (a131)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp31)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H95 zenon_H10 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H13c zenon_Hfc. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H5e | zenon_intro zenon_H1a3 ]. % 1.00/1.23 apply (zenon_L467_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H19e | zenon_intro zenon_Hfd ]. % 1.00/1.23 apply (zenon_L222_); trivial. % 1.00/1.23 exact (zenon_Hfc zenon_Hfd). % 1.00/1.23 (* end of lemma zenon_L582_ *) % 1.00/1.23 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hbc zenon_H111 zenon_H10d zenon_H1ce zenon_H23c zenon_H179 zenon_H17a zenon_H25b zenon_H25a zenon_H259 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H13c zenon_H95 zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L582_); trivial. % 1.00/1.23 apply (zenon_L580_); trivial. % 1.00/1.23 (* end of lemma zenon_L583_ *) % 1.00/1.23 assert (zenon_L584_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H9b zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H5e | zenon_intro zenon_H1cf ]. % 1.00/1.23 apply (zenon_L467_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H132 | zenon_intro zenon_H1ca ]. % 1.00/1.23 apply (zenon_L86_); trivial. % 1.00/1.23 apply (zenon_L504_); trivial. % 1.00/1.23 (* end of lemma zenon_L584_ *) % 1.00/1.23 assert (zenon_L585_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_Ha5 zenon_H104 zenon_H105 zenon_H103. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.00/1.23 apply (zenon_L280_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.00/1.23 apply (zenon_L259_); trivial. % 1.00/1.23 apply (zenon_L584_); trivial. % 1.00/1.23 (* end of lemma zenon_L585_ *) % 1.00/1.23 assert (zenon_L586_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H11c zenon_H115 zenon_H114 zenon_H113 zenon_H4b zenon_H4a zenon_H49 zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H112 | zenon_intro zenon_H11d ]. % 1.00/1.23 apply (zenon_L71_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H48 | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L20_); trivial. % 1.00/1.23 apply (zenon_L585_); trivial. % 1.00/1.23 (* end of lemma zenon_L586_ *) % 1.00/1.23 assert (zenon_L587_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H6a zenon_H68 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H178 zenon_H179 zenon_H17a zenon_H13c zenon_H49 zenon_H4a zenon_H4b zenon_H23c zenon_H1ce zenon_H25b zenon_H25a zenon_H259 zenon_H11c zenon_H111. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L545_); trivial. % 1.00/1.23 apply (zenon_L586_); trivial. % 1.00/1.23 apply (zenon_L72_); trivial. % 1.00/1.23 (* end of lemma zenon_L587_ *) % 1.00/1.23 assert (zenon_L588_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H18a zenon_H121 zenon_H6a zenon_H68 zenon_H49 zenon_H4a zenon_H4b zenon_H11c zenon_Hc0 zenon_H13c zenon_H1a2 zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H10d zenon_H111 zenon_Hbf. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_L581_); trivial. % 1.00/1.23 apply (zenon_L583_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_L581_); trivial. % 1.00/1.23 apply (zenon_L328_); trivial. % 1.00/1.23 apply (zenon_L587_); trivial. % 1.00/1.23 (* end of lemma zenon_L588_ *) % 1.00/1.23 assert (zenon_L589_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H18d zenon_H121 zenon_H11c zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H13c zenon_H68 zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H257 zenon_H255 zenon_H245 zenon_H243 zenon_H1ce zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H4b zenon_H4a zenon_H49 zenon_H12a zenon_H128 zenon_H129 zenon_Haf zenon_H111 zenon_H173. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_L577_); trivial. % 1.00/1.23 apply (zenon_L550_); trivial. % 1.00/1.23 (* end of lemma zenon_L589_ *) % 1.00/1.23 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hbc zenon_H111 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H78 zenon_H77 zenon_H76 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H13c zenon_H95 zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L582_); trivial. % 1.00/1.23 apply (zenon_L374_); trivial. % 1.00/1.23 (* end of lemma zenon_L590_ *) % 1.00/1.23 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H174 zenon_H111 zenon_H11c zenon_H259 zenon_H25a zenon_H25b zenon_H1ce zenon_H23c zenon_H4b zenon_H4a zenon_H49 zenon_H115 zenon_H114 zenon_H113 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L469_); trivial. % 1.00/1.23 apply (zenon_L586_); trivial. % 1.00/1.23 (* end of lemma zenon_L591_ *) % 1.00/1.23 assert (zenon_L592_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H11e zenon_H173 zenon_H111 zenon_H11c zenon_H259 zenon_H25a zenon_H25b zenon_H1ce zenon_H23c zenon_H4b zenon_H4a zenon_H49 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_L468_); trivial. % 1.00/1.23 apply (zenon_L591_); trivial. % 1.00/1.23 (* end of lemma zenon_L592_ *) % 1.00/1.23 assert (zenon_L593_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H94 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_H18d zenon_H121 zenon_H11c zenon_H13c zenon_H68 zenon_H6a zenon_H100 zenon_H24c zenon_H244 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H257 zenon_H245 zenon_H243 zenon_H1ce zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_Haf zenon_H111 zenon_H173 zenon_H10d zenon_H23c zenon_H27d zenon_H74. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.23 apply (zenon_L78_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.23 apply (zenon_L579_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.23 apply (zenon_L468_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L469_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.23 apply (zenon_L307_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L541_); trivial. % 1.00/1.23 apply (zenon_L574_); trivial. % 1.00/1.23 apply (zenon_L588_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.23 apply (zenon_L78_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.23 apply (zenon_L589_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.23 apply (zenon_L28_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L541_); trivial. % 1.00/1.23 apply (zenon_L574_); trivial. % 1.00/1.23 apply (zenon_L590_); trivial. % 1.00/1.23 apply (zenon_L549_); trivial. % 1.00/1.23 apply (zenon_L592_); trivial. % 1.00/1.23 apply (zenon_L556_); trivial. % 1.00/1.23 (* end of lemma zenon_L593_ *) % 1.00/1.23 assert (zenon_L594_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_H90 zenon_H8d zenon_Hcf zenon_H74 zenon_H27d zenon_H23c zenon_H10d zenon_H173 zenon_H111 zenon_Haf zenon_H5c zenon_H1ce zenon_H243 zenon_H245 zenon_H257 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hbf zenon_Hc0 zenon_H244 zenon_H24c zenon_H100 zenon_H6a zenon_H13c zenon_H11c zenon_H121 zenon_H18d zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H94. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.23 apply (zenon_L593_); trivial. % 1.00/1.23 apply (zenon_L474_); trivial. % 1.00/1.23 (* end of lemma zenon_L594_ *) % 1.00/1.23 assert (zenon_L595_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H74 zenon_H5c zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H111 zenon_H10d zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H94 zenon_H22. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L7_); trivial. % 1.00/1.23 apply (zenon_L569_); trivial. % 1.00/1.23 apply (zenon_L166_); trivial. % 1.00/1.23 (* end of lemma zenon_L595_ *) % 1.00/1.23 assert (zenon_L596_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H148 zenon_H126 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H22 zenon_H94 zenon_H74 zenon_H27d zenon_H121 zenon_H11c zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257 zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hd zenon_H18d zenon_H6a zenon_H163 zenon_H1a2 zenon_H1ce zenon_H5c zenon_H173 zenon_H10d zenon_Hcf zenon_H90 zenon_Hd9 zenon_Hdc. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L7_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.23 apply (zenon_L272_); trivial. % 1.00/1.23 apply (zenon_L491_); trivial. % 1.00/1.23 apply (zenon_L594_); trivial. % 1.00/1.23 apply (zenon_L595_); trivial. % 1.00/1.23 (* end of lemma zenon_L596_ *) % 1.00/1.23 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H13c zenon_Haf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H146 zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.23 apply (zenon_L272_); trivial. % 1.00/1.23 apply (zenon_L507_); trivial. % 1.00/1.23 (* end of lemma zenon_L597_ *) % 1.00/1.23 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H202 zenon_H192 zenon_H18f zenon_H127 zenon_H74 zenon_H121 zenon_H11c zenon_H100 zenon_Hc0 zenon_Hf5 zenon_H188 zenon_H173 zenon_H155 zenon_H1a2 zenon_H163 zenon_Hfa zenon_H1f0 zenon_H18d zenon_H5c zenon_H6a zenon_H1af zenon_H1c5 zenon_Hd9 zenon_Hdc zenon_H19c zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H111 zenon_H146 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Haf zenon_H13c zenon_Hbf zenon_H94 zenon_H22. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L133_); trivial. % 1.00/1.23 apply (zenon_L597_); trivial. % 1.00/1.23 apply (zenon_L537_); trivial. % 1.00/1.23 (* end of lemma zenon_L598_ *) % 1.00/1.23 assert (zenon_L599_ : ((ndr1_0)/\((c0_1 (a106))/\((c1_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp25)\/(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H2b4 zenon_H206 zenon_H192 zenon_H18f zenon_H127 zenon_H74 zenon_Hf5 zenon_H155 zenon_H1f0 zenon_H5c zenon_H1af zenon_H1c5 zenon_Hdc zenon_H19c zenon_H1ce zenon_Hd9 zenon_H94 zenon_H90 zenon_Hcf zenon_H6d zenon_H173 zenon_H111 zenon_H6a zenon_H1e6 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H35 zenon_H188 zenon_H18d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H13c zenon_H146 zenon_H22 zenon_H126. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.23 apply (zenon_L475_); trivial. % 1.00/1.23 apply (zenon_L465_); trivial. % 1.00/1.23 apply (zenon_L598_); trivial. % 1.00/1.23 (* end of lemma zenon_L599_ *) % 1.00/1.23 assert (zenon_L600_ : ((~(hskp4))\/((ndr1_0)/\((c2_1 (a105))/\((c3_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((hskp5)\/((hskp4)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp25)\/(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a110))/\((~(c1_1 (a110)))/\(~(c3_1 (a110))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a106))/\((c1_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H2b7 zenon_H24c zenon_H85 zenon_H87 zenon_H206 zenon_H192 zenon_H155 zenon_Hd zenon_H5c zenon_H31 zenon_Hdc zenon_H19c zenon_H1e zenon_H7 zenon_H126 zenon_H22 zenon_Hc1 zenon_H99 zenon_Hd3 zenon_Hbf zenon_H1f0 zenon_H1ce zenon_Hf5 zenon_Hfa zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H74 zenon_H18d zenon_H188 zenon_H35 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1e6 zenon_H6a zenon_H111 zenon_H173 zenon_H6d zenon_Hcf zenon_H90 zenon_H94 zenon_Hd9 zenon_H127 zenon_H257 zenon_H13c zenon_H23c zenon_H146 zenon_H27d zenon_H18f zenon_H1c6 zenon_H13a zenon_H1af zenon_H1c5 zenon_H2b8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.00/1.23 apply (zenon_L4_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.23 apply (zenon_L485_); trivial. % 1.00/1.23 apply (zenon_L492_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.00/1.23 apply (zenon_L4_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.23 apply (zenon_L134_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.23 apply (zenon_L495_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L497_); trivial. % 1.00/1.23 apply (zenon_L148_); trivial. % 1.00/1.23 apply (zenon_L167_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.23 apply (zenon_L475_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.23 apply (zenon_L476_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L483_); trivial. % 1.00/1.23 apply (zenon_L11_); trivial. % 1.00/1.23 apply (zenon_L492_); trivial. % 1.00/1.23 apply (zenon_L527_); trivial. % 1.00/1.23 apply (zenon_L538_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.00/1.23 apply (zenon_L540_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.23 apply (zenon_L571_); trivial. % 1.00/1.23 apply (zenon_L596_); trivial. % 1.00/1.23 apply (zenon_L599_); trivial. % 1.00/1.23 (* end of lemma zenon_L600_ *) % 1.00/1.23 assert (zenon_L601_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H2bc zenon_H10 zenon_H2bd zenon_H2be zenon_H2bf. % 1.00/1.23 generalize (zenon_H2bc (a102)). zenon_intro zenon_H2c0. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c1 ]. % 1.00/1.23 exact (zenon_Hf zenon_H10). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ]. % 1.00/1.23 exact (zenon_H2bd zenon_H2c3). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c4 ]. % 1.00/1.23 exact (zenon_H2be zenon_H2c5). % 1.00/1.23 exact (zenon_H2c4 zenon_H2bf). % 1.00/1.23 (* end of lemma zenon_L601_ *) % 1.00/1.23 assert (zenon_L602_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp10)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.23 apply (zenon_L601_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.23 apply (zenon_L68_); trivial. % 1.00/1.23 exact (zenon_H1b zenon_H1c). % 1.00/1.23 (* end of lemma zenon_L602_ *) % 1.00/1.23 assert (zenon_L603_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hb1 zenon_Hfe zenon_H100. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_L602_); trivial. % 1.00/1.23 (* end of lemma zenon_L603_ *) % 1.00/1.23 assert (zenon_L604_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H102 zenon_H10 zenon_H68. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.23 apply (zenon_L54_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.23 apply (zenon_L100_); trivial. % 1.00/1.23 exact (zenon_H68 zenon_H69). % 1.00/1.23 (* end of lemma zenon_L604_ *) % 1.00/1.23 assert (zenon_L605_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H9 zenon_Hfa zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_Hdf zenon_Hde zenon_Hdd zenon_Hc0 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.23 apply (zenon_L78_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_L603_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.23 apply (zenon_L601_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.23 apply (zenon_L604_); trivial. % 1.00/1.23 exact (zenon_H1b zenon_H1c). % 1.00/1.23 apply (zenon_L73_); trivial. % 1.00/1.23 (* end of lemma zenon_L605_ *) % 1.00/1.23 assert (zenon_L606_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H22 zenon_H1e zenon_H3 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hfa zenon_H11c zenon_Hbf zenon_H121 zenon_H74. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.23 apply (zenon_L605_); trivial. % 1.00/1.23 apply (zenon_L11_); trivial. % 1.00/1.23 (* end of lemma zenon_L606_ *) % 1.00/1.23 assert (zenon_L607_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H122 zenon_Hd9 zenon_H13c zenon_H146 zenon_Hd3 zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_Haf zenon_H10d zenon_H94 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H3 zenon_H1e zenon_H22. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.23 apply (zenon_L606_); trivial. % 1.00/1.23 apply (zenon_L94_); trivial. % 1.00/1.23 (* end of lemma zenon_L607_ *) % 1.00/1.23 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H148 zenon_H126 zenon_Hd9 zenon_H13c zenon_H146 zenon_Hd3 zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_Haf zenon_H10d zenon_H94 zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H111 zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_Hc0 zenon_H22 zenon_H1e zenon_H1b zenon_H3 zenon_H1 zenon_Hd zenon_H127 zenon_H13a zenon_H5c zenon_H74 zenon_Hdc. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.23 apply (zenon_L81_); trivial. % 1.00/1.23 apply (zenon_L607_); trivial. % 1.00/1.23 (* end of lemma zenon_L608_ *) % 1.00/1.23 assert (zenon_L609_ : (forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c1_1 (a102))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H23 zenon_H10 zenon_H2be zenon_H75 zenon_H2bd zenon_H2bf. % 1.00/1.23 generalize (zenon_H23 (a102)). zenon_intro zenon_H2c8. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c9 ]. % 1.00/1.23 exact (zenon_Hf zenon_H10). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2ca ]. % 1.00/1.23 exact (zenon_H2be zenon_H2c5). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2c4 ]. % 1.00/1.23 generalize (zenon_H75 (a102)). zenon_intro zenon_H2cc. % 1.00/1.23 apply (zenon_imply_s _ _ zenon_H2cc); [ zenon_intro zenon_Hf | zenon_intro zenon_H2cd ]. % 1.00/1.23 exact (zenon_Hf zenon_H10). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2ce ]. % 1.00/1.23 exact (zenon_H2bd zenon_H2c3). % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2cf ]. % 1.00/1.23 exact (zenon_H2be zenon_H2c5). % 1.00/1.23 exact (zenon_H2cf zenon_H2cb). % 1.00/1.23 exact (zenon_H2c4 zenon_H2bf). % 1.00/1.23 (* end of lemma zenon_L609_ *) % 1.00/1.23 assert (zenon_L610_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a102))) -> (ndr1_0) -> (~(hskp30)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hc1 zenon_Hee zenon_Hed zenon_Hec zenon_H2bf zenon_H2bd zenon_H75 zenon_H2be zenon_H10 zenon_Hb1. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H9c | zenon_intro zenon_Hc5 ]. % 1.00/1.23 apply (zenon_L60_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H23 | zenon_intro zenon_Hb2 ]. % 1.00/1.23 apply (zenon_L609_); trivial. % 1.00/1.23 exact (zenon_Hb1 zenon_Hb2). % 1.00/1.23 (* end of lemma zenon_L610_ *) % 1.00/1.23 assert (zenon_L611_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_Hdf zenon_Hde zenon_Hdd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.23 apply (zenon_L610_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.23 apply (zenon_L54_); trivial. % 1.00/1.23 apply (zenon_L68_); trivial. % 1.00/1.23 (* end of lemma zenon_L611_ *) % 1.00/1.23 assert (zenon_L612_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_H100 zenon_Hfe zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.23 apply (zenon_L196_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_L611_); trivial. % 1.00/1.23 apply (zenon_L62_); trivial. % 1.00/1.23 (* end of lemma zenon_L612_ *) % 1.00/1.23 assert (zenon_L613_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp18)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hc2 zenon_H2d0 zenon_H1ad zenon_H53 zenon_H54 zenon_H55 zenon_H113 zenon_H115 zenon_H114 zenon_H1af zenon_H2bf zenon_H2be zenon_H2bd. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.23 apply (zenon_L330_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L601_); trivial. % 1.00/1.23 apply (zenon_L39_); trivial. % 1.00/1.23 (* end of lemma zenon_L613_ *) % 1.00/1.23 assert (zenon_L614_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L64_); trivial. % 1.00/1.23 apply (zenon_L613_); trivial. % 1.00/1.23 (* end of lemma zenon_L614_ *) % 1.00/1.23 assert (zenon_L615_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H2d0 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_H9 zenon_Hfa zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.23 apply (zenon_L612_); trivial. % 1.00/1.23 apply (zenon_L614_); trivial. % 1.00/1.23 (* end of lemma zenon_L615_ *) % 1.00/1.23 assert (zenon_L616_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_Hfa zenon_H9 zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H2d0 zenon_Hbf zenon_H121. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.23 apply (zenon_L615_); trivial. % 1.00/1.23 apply (zenon_L145_); trivial. % 1.00/1.23 (* end of lemma zenon_L616_ *) % 1.00/1.23 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hf7 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H195 zenon_H194 zenon_H193 zenon_H10d. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.23 apply (zenon_L610_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.23 apply (zenon_L54_); trivial. % 1.00/1.23 apply (zenon_L160_); trivial. % 1.00/1.23 apply (zenon_L62_); trivial. % 1.00/1.23 (* end of lemma zenon_L617_ *) % 1.00/1.23 assert (zenon_L618_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H195 zenon_H194 zenon_H193 zenon_H10d zenon_H97 zenon_H3 zenon_H214. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.23 apply (zenon_L196_); trivial. % 1.00/1.23 apply (zenon_L617_); trivial. % 1.00/1.23 (* end of lemma zenon_L618_ *) % 1.00/1.23 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1c2 zenon_H74 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H214 zenon_H3 zenon_H97 zenon_H10d zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hdf zenon_Hde zenon_Hdd zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_Hf5 zenon_Hc0 zenon_H123. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.23 apply (zenon_L618_); trivial. % 1.00/1.23 apply (zenon_L145_); trivial. % 1.00/1.23 (* end of lemma zenon_L619_ *) % 1.00/1.23 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H10c zenon_H146 zenon_Haf zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.23 apply (zenon_L610_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.23 apply (zenon_L60_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.00/1.23 apply (zenon_L610_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L86_); trivial. % 1.00/1.23 apply (zenon_L362_); trivial. % 1.00/1.23 (* end of lemma zenon_L620_ *) % 1.00/1.23 assert (zenon_L621_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_H100 zenon_Hfe zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.23 apply (zenon_L196_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.23 apply (zenon_L67_); trivial. % 1.00/1.23 apply (zenon_L620_); trivial. % 1.00/1.23 apply (zenon_L62_); trivial. % 1.00/1.23 (* end of lemma zenon_L621_ *) % 1.00/1.23 assert (zenon_L622_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_H12 zenon_H13 zenon_H14 zenon_H97 zenon_H99. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.23 apply (zenon_L37_); trivial. % 1.00/1.23 apply (zenon_L613_); trivial. % 1.00/1.23 (* end of lemma zenon_L622_ *) % 1.00/1.23 assert (zenon_L623_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H2d0 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_H12 zenon_H13 zenon_H14 zenon_H99 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L621_); trivial. % 1.00/1.24 apply (zenon_L622_); trivial. % 1.00/1.24 (* end of lemma zenon_L623_ *) % 1.00/1.24 assert (zenon_L624_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H99 zenon_H14 zenon_H13 zenon_H12 zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H2d0 zenon_Hbf zenon_H121. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.24 apply (zenon_L623_); trivial. % 1.00/1.24 apply (zenon_L145_); trivial. % 1.00/1.24 (* end of lemma zenon_L624_ *) % 1.00/1.24 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H1d zenon_H1c5 zenon_H10d zenon_H188 zenon_Hdf zenon_Hde zenon_Hdd zenon_H121 zenon_Hbf zenon_H2d0 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_H99 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.24 apply (zenon_L624_); trivial. % 1.00/1.24 apply (zenon_L619_); trivial. % 1.00/1.24 (* end of lemma zenon_L625_ *) % 1.00/1.24 assert (zenon_L626_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H99 zenon_H146 zenon_Haf zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_Hfa zenon_H1af zenon_H2d0 zenon_Hbf zenon_H121 zenon_H188 zenon_H1c5. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.24 apply (zenon_L616_); trivial. % 1.00/1.24 apply (zenon_L619_); trivial. % 1.00/1.24 apply (zenon_L625_); trivial. % 1.00/1.24 (* end of lemma zenon_L626_ *) % 1.00/1.24 assert (zenon_L627_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L70_); trivial. % 1.00/1.24 apply (zenon_L614_); trivial. % 1.00/1.24 (* end of lemma zenon_L627_ *) % 1.00/1.24 assert (zenon_L628_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1af zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_H173 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H1ce zenon_H1a2 zenon_H163 zenon_H85 zenon_H87 zenon_H6d zenon_H1ee zenon_H188 zenon_H1f0 zenon_H1e6 zenon_H33 zenon_H35 zenon_H1fd zenon_H201 zenon_H18d zenon_H1c5 zenon_H6e zenon_H1 zenon_H24 zenon_H25 zenon_H26 zenon_H6a zenon_Hd zenon_Hd3 zenon_Hcf zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H22 zenon_Hd9. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.24 apply (zenon_L150_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.24 apply (zenon_L56_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_L49_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.24 apply (zenon_L627_); trivial. % 1.00/1.24 apply (zenon_L187_); trivial. % 1.00/1.24 apply (zenon_L75_); trivial. % 1.00/1.24 (* end of lemma zenon_L628_ *) % 1.00/1.24 assert (zenon_L629_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H11 zenon_H10 zenon_H178 zenon_H1f2 zenon_H179 zenon_H17a. % 1.00/1.24 generalize (zenon_H11 (a143)). zenon_intro zenon_H185. % 1.00/1.24 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_Hf | zenon_intro zenon_H186 ]. % 1.00/1.24 exact (zenon_Hf zenon_H10). % 1.00/1.24 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H17e | zenon_intro zenon_H187 ]. % 1.00/1.24 exact (zenon_H178 zenon_H17e). % 1.00/1.24 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H181 | zenon_intro zenon_H17f ]. % 1.00/1.24 generalize (zenon_H1f2 (a143)). zenon_intro zenon_H2d2. % 1.00/1.24 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d3 ]. % 1.00/1.24 exact (zenon_Hf zenon_H10). % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H184 | zenon_intro zenon_H2d4 ]. % 1.00/1.24 exact (zenon_H181 zenon_H184). % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H17e | zenon_intro zenon_H180 ]. % 1.00/1.24 exact (zenon_H178 zenon_H17e). % 1.00/1.24 exact (zenon_H179 zenon_H180). % 1.00/1.24 exact (zenon_H17f zenon_H17a). % 1.00/1.24 (* end of lemma zenon_L629_ *) % 1.00/1.24 assert (zenon_L630_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp17)) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H188 zenon_H2f zenon_H12a zenon_H128 zenon_H129 zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H105 zenon_H104 zenon_H13 zenon_H12 zenon_H14 zenon_H212 zenon_H49 zenon_H4a zenon_H4b zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H10 zenon_H178 zenon_H1f2 zenon_H179 zenon_H17a. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.24 apply (zenon_L262_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.24 apply (zenon_L114_); trivial. % 1.00/1.24 apply (zenon_L629_); trivial. % 1.00/1.24 (* end of lemma zenon_L630_ *) % 1.00/1.24 assert (zenon_L631_ : (~(hskp2)) -> (hskp2) -> False). % 1.00/1.24 do 0 intro. intros zenon_H2d5 zenon_H2d6. % 1.00/1.24 exact (zenon_H2d5 zenon_H2d6). % 1.00/1.24 (* end of lemma zenon_L631_ *) % 1.00/1.24 assert (zenon_L632_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a141)) -> (c1_1 (a141)) -> (forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H2d7 zenon_H14 zenon_H13 zenon_H12 zenon_H178 zenon_H179 zenon_H17a zenon_H212 zenon_H113 zenon_H115 zenon_H114 zenon_H23c zenon_H129 zenon_H128 zenon_H12a zenon_H2f zenon_H188 zenon_H105 zenon_H104 zenon_Ha5 zenon_H10 zenon_H2d5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d8 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.24 apply (zenon_L261_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.24 apply (zenon_L114_); trivial. % 1.00/1.24 apply (zenon_L9_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H239 | zenon_intro zenon_H2d6 ]. % 1.00/1.24 apply (zenon_L259_); trivial. % 1.00/1.24 exact (zenon_H2d5 zenon_H2d6). % 1.00/1.24 (* end of lemma zenon_L632_ *) % 1.00/1.24 assert (zenon_L633_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H188 zenon_H17a zenon_H179 zenon_H178 zenon_H14c zenon_H14e zenon_H14d zenon_H49 zenon_H4a zenon_H4b zenon_H212 zenon_H2f zenon_H129 zenon_H128 zenon_H12a zenon_H23c zenon_H11c zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d7 zenon_H2d5 zenon_H2d0 zenon_H111. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.24 apply (zenon_L84_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.24 apply (zenon_L630_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_L632_); trivial. % 1.00/1.24 apply (zenon_L72_); trivial. % 1.00/1.24 (* end of lemma zenon_L633_ *) % 1.00/1.24 assert (zenon_L634_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H1d zenon_H94 zenon_H146 zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2d0 zenon_H2d5 zenon_H2d7 zenon_H2bf zenon_H2be zenon_H2bd zenon_H23c zenon_H212 zenon_H188 zenon_H18d zenon_H74. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.24 apply (zenon_L78_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.24 apply (zenon_L113_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L248_); trivial. % 1.00/1.24 apply (zenon_L633_); trivial. % 1.00/1.24 apply (zenon_L127_); trivial. % 1.00/1.24 (* end of lemma zenon_L634_ *) % 1.00/1.24 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H146 zenon_Haf zenon_H13c zenon_H163 zenon_H173 zenon_H2d0 zenon_H2d5 zenon_H2d7 zenon_H2bf zenon_H2be zenon_H2bd zenon_H23c zenon_H212 zenon_H188 zenon_H18d zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Hfa zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H8d zenon_H90 zenon_H94. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_L250_); trivial. % 1.00/1.24 apply (zenon_L634_); trivial. % 1.00/1.24 (* end of lemma zenon_L635_ *) % 1.00/1.24 assert (zenon_L636_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H94 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10d zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hfa zenon_H9 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H74. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_L249_); trivial. % 1.00/1.24 apply (zenon_L82_); trivial. % 1.00/1.24 (* end of lemma zenon_L636_ *) % 1.00/1.24 assert (zenon_L637_ : ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a102))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp17)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H2d9 zenon_H2bf zenon_H2bd zenon_H75 zenon_H2be zenon_H10 zenon_H95 zenon_H2f. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H23 | zenon_intro zenon_H2da ]. % 1.00/1.24 apply (zenon_L609_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H96 | zenon_intro zenon_H30 ]. % 1.00/1.24 exact (zenon_H95 zenon_H96). % 1.00/1.24 exact (zenon_H2f zenon_H30). % 1.00/1.24 (* end of lemma zenon_L637_ *) % 1.00/1.24 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H6c zenon_H6d zenon_Hbf zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H2d9 zenon_H2f zenon_H2bf zenon_H2bd zenon_H2be zenon_H1e6 zenon_H10d zenon_H111 zenon_H33 zenon_H35. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.24 apply (zenon_L18_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.24 apply (zenon_L84_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.24 apply (zenon_L637_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.24 apply (zenon_L177_); trivial. % 1.00/1.24 apply (zenon_L68_); trivial. % 1.00/1.24 apply (zenon_L254_); trivial. % 1.00/1.24 (* end of lemma zenon_L638_ *) % 1.00/1.24 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H94 zenon_H121 zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_H35 zenon_H33 zenon_H111 zenon_H10d zenon_H1e6 zenon_H2be zenon_H2bd zenon_H2bf zenon_H2d9 zenon_H13c zenon_H6d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_Hdf zenon_Hde zenon_Hdd zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H5c zenon_Hbf zenon_H74. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_L256_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.24 apply (zenon_L78_); trivial. % 1.00/1.24 apply (zenon_L638_); trivial. % 1.00/1.24 apply (zenon_L92_); trivial. % 1.00/1.24 (* end of lemma zenon_L639_ *) % 1.00/1.24 assert (zenon_L640_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H148 zenon_H126 zenon_H1e6 zenon_H2d9 zenon_H10d zenon_Hd9 zenon_H2d0 zenon_H2d5 zenon_H2d7 zenon_H2bf zenon_H2be zenon_H2bd zenon_H23c zenon_H212 zenon_H90 zenon_H94 zenon_Haf zenon_H127 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Hfa zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74 zenon_H13c zenon_H146 zenon_H22 zenon_H13a zenon_H5c zenon_Hdc. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.24 apply (zenon_L246_); trivial. % 1.00/1.24 apply (zenon_L635_); trivial. % 1.00/1.24 apply (zenon_L80_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.24 apply (zenon_L252_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_L636_); trivial. % 1.00/1.24 apply (zenon_L634_); trivial. % 1.00/1.24 apply (zenon_L639_); trivial. % 1.00/1.24 (* end of lemma zenon_L640_ *) % 1.00/1.24 assert (zenon_L641_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H2d0. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.24 apply (zenon_L330_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_L199_); trivial. % 1.00/1.24 apply (zenon_L613_); trivial. % 1.00/1.24 (* end of lemma zenon_L641_ *) % 1.00/1.24 assert (zenon_L642_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H74 zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2d0 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hbf zenon_H121. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L612_); trivial. % 1.00/1.24 apply (zenon_L641_); trivial. % 1.00/1.24 apply (zenon_L255_); trivial. % 1.00/1.24 (* end of lemma zenon_L642_ *) % 1.00/1.24 assert (zenon_L643_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H121 zenon_Hbf zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H2d0 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H5c zenon_H74. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.24 apply (zenon_L642_); trivial. % 1.00/1.24 apply (zenon_L619_); trivial. % 1.00/1.24 (* end of lemma zenon_L643_ *) % 1.00/1.24 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H99 zenon_H146 zenon_Haf zenon_H74 zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2d0 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Hfa zenon_H1af zenon_Hbf zenon_H121 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H1c5. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_L643_); trivial. % 1.00/1.24 apply (zenon_L625_); trivial. % 1.00/1.24 (* end of lemma zenon_L644_ *) % 1.00/1.24 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp21)) -> (~(hskp29)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp10)) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hbc zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H161 zenon_H15f zenon_H163 zenon_H1b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L103_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 (* end of lemma zenon_L645_ *) % 1.00/1.24 assert (zenon_L646_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H174 zenon_Hc0 zenon_H2f zenon_Hcf zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_L603_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L108_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 (* end of lemma zenon_L646_ *) % 1.00/1.24 assert (zenon_L647_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H163 zenon_H161 zenon_Hc0. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_L603_); trivial. % 1.00/1.24 apply (zenon_L645_); trivial. % 1.00/1.24 apply (zenon_L646_); trivial. % 1.00/1.24 (* end of lemma zenon_L647_ *) % 1.00/1.24 assert (zenon_L648_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hc2 zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H209 zenon_H20a zenon_H20b zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_H1b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L207_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 (* end of lemma zenon_L648_ *) % 1.00/1.24 assert (zenon_L649_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_H1b zenon_H2c6. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L206_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 apply (zenon_L648_); trivial. % 1.00/1.24 (* end of lemma zenon_L649_ *) % 1.00/1.24 assert (zenon_L650_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H121 zenon_Hbf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L647_); trivial. % 1.00/1.24 apply (zenon_L649_); trivial. % 1.00/1.24 (* end of lemma zenon_L650_ *) % 1.00/1.24 assert (zenon_L651_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H6d zenon_Hc0 zenon_H188 zenon_H17a zenon_H179 zenon_H178 zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H33 zenon_H35. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.24 apply (zenon_L18_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_L603_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L118_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 (* end of lemma zenon_L651_ *) % 1.00/1.24 assert (zenon_L652_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H18a zenon_H121 zenon_Hbf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_H35 zenon_H33 zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_H188 zenon_Hc0 zenon_H6d. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L651_); trivial. % 1.00/1.24 apply (zenon_L649_); trivial. % 1.00/1.24 (* end of lemma zenon_L652_ *) % 1.00/1.24 assert (zenon_L653_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (~(c0_1 (a167))) -> (~(hskp31)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a131)) -> (c3_1 (a131)) -> (c0_1 (a131)) -> (ndr1_0) -> (~(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp8)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H3a zenon_H39 zenon_Hfc zenon_H13c zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H10 zenon_H95 zenon_H1a2 zenon_H33. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.00/1.24 apply (zenon_L19_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.00/1.24 apply (zenon_L223_); trivial. % 1.00/1.24 exact (zenon_H33 zenon_H34). % 1.00/1.24 (* end of lemma zenon_L653_ *) % 1.00/1.24 assert (zenon_L654_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H6d zenon_Hbf zenon_Haf zenon_Hc0 zenon_H13c zenon_H1a2 zenon_H163 zenon_H161 zenon_H100 zenon_Hfe zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H10d zenon_H111 zenon_H90 zenon_H8d zenon_H173 zenon_H33 zenon_H35. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.24 apply (zenon_L18_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_L198_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.24 apply (zenon_L28_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.24 apply (zenon_L653_); trivial. % 1.00/1.24 apply (zenon_L103_); trivial. % 1.00/1.24 apply (zenon_L178_); trivial. % 1.00/1.24 apply (zenon_L278_); trivial. % 1.00/1.24 apply (zenon_L201_); trivial. % 1.00/1.24 (* end of lemma zenon_L654_ *) % 1.00/1.24 assert (zenon_L655_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H121 zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_H1b zenon_H2c6 zenon_H35 zenon_H33 zenon_H173 zenon_H8d zenon_H90 zenon_H111 zenon_H10d zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H161 zenon_H163 zenon_H1a2 zenon_H13c zenon_Hc0 zenon_Haf zenon_Hbf zenon_H6d. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L654_); trivial. % 1.00/1.24 apply (zenon_L649_); trivial. % 1.00/1.24 (* end of lemma zenon_L655_ *) % 1.00/1.24 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H8f zenon_H18d zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_Hbf zenon_Haf zenon_Hc0 zenon_H13c zenon_H1a2 zenon_H163 zenon_H100 zenon_H1e6 zenon_H10d zenon_H111 zenon_H90 zenon_H8d zenon_H173 zenon_H33 zenon_H35 zenon_H2c6 zenon_H1b zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H20b zenon_H20a zenon_H209 zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H121. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.24 apply (zenon_L655_); trivial. % 1.00/1.24 apply (zenon_L652_); trivial. % 1.00/1.24 (* end of lemma zenon_L656_ *) % 1.00/1.24 assert (zenon_L657_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H94 zenon_Haf zenon_H13c zenon_H1a2 zenon_H1e6 zenon_H10d zenon_H90 zenon_H8d zenon_H121 zenon_Hbf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hc0 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.24 apply (zenon_L650_); trivial. % 1.00/1.24 apply (zenon_L652_); trivial. % 1.00/1.24 apply (zenon_L656_); trivial. % 1.00/1.24 (* end of lemma zenon_L657_ *) % 1.00/1.24 assert (zenon_L658_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> (~(hskp4)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H22 zenon_H1e zenon_H3 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H20b zenon_H20a zenon_H209 zenon_Hfa zenon_Hbf zenon_H121 zenon_H8d zenon_H90 zenon_H10d zenon_H1e6 zenon_H1a2 zenon_H13c zenon_Haf zenon_H94. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.24 apply (zenon_L657_); trivial. % 1.00/1.24 apply (zenon_L11_); trivial. % 1.00/1.24 (* end of lemma zenon_L658_ *) % 1.00/1.24 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hd5 zenon_H94 zenon_H90 zenon_H8d zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_L197_); trivial. % 1.00/1.24 apply (zenon_L50_); trivial. % 1.00/1.24 (* end of lemma zenon_L659_ *) % 1.00/1.24 assert (zenon_L660_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H2f zenon_Hcf zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_L603_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.24 apply (zenon_L247_); trivial. % 1.00/1.24 exact (zenon_H1b zenon_H1c). % 1.00/1.24 (* end of lemma zenon_L660_ *) % 1.00/1.24 assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hc2 zenon_H2d0 zenon_H17a zenon_H179 zenon_H178 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H2bf zenon_H2be zenon_H2bd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.24 apply (zenon_L132_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.24 apply (zenon_L114_); trivial. % 1.00/1.24 apply (zenon_L629_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_L39_); trivial. % 1.00/1.24 (* end of lemma zenon_L661_ *) % 1.00/1.24 assert (zenon_L662_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H18a zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H9 zenon_Hfa. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_L267_); trivial. % 1.00/1.24 apply (zenon_L661_); trivial. % 1.00/1.24 (* end of lemma zenon_L662_ *) % 1.00/1.24 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H6c zenon_H18d zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H9 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.24 apply (zenon_L240_); trivial. % 1.00/1.24 apply (zenon_L662_); trivial. % 1.00/1.24 (* end of lemma zenon_L663_ *) % 1.00/1.24 assert (zenon_L664_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.24 do 0 intro. intros zenon_H74 zenon_H18d zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_Hfa zenon_H9 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hbf zenon_H121 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.24 apply (zenon_L78_); trivial. % 1.00/1.24 apply (zenon_L663_); trivial. % 1.00/1.24 (* end of lemma zenon_L664_ *) % 1.00/1.24 assert (zenon_L665_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H94 zenon_H209 zenon_H20a zenon_H20b zenon_H10d zenon_H1a2 zenon_H13c zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H9 zenon_Hfa zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H18d zenon_H74. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.24 apply (zenon_L664_); trivial. % 1.00/1.24 apply (zenon_L231_); trivial. % 1.00/1.24 (* end of lemma zenon_L665_ *) % 1.00/1.24 assert (zenon_L666_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H11e zenon_Hbf zenon_Hc0 zenon_Haf zenon_H1af zenon_H1ad zenon_Hc8 zenon_Hc6 zenon_Hc1 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_L85_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.24 apply (zenon_L380_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_L39_); trivial. % 1.00/1.24 apply (zenon_L43_); trivial. % 1.00/1.24 (* end of lemma zenon_L666_ *) % 1.00/1.24 assert (zenon_L667_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H27d zenon_H121 zenon_H1af zenon_H1ad zenon_Hc8 zenon_Hc6 zenon_Hc1 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.24 apply (zenon_L317_); trivial. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.24 apply (zenon_L286_); trivial. % 1.00/1.24 apply (zenon_L666_); trivial. % 1.00/1.24 (* end of lemma zenon_L667_ *) % 1.00/1.24 assert (zenon_L668_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> False). % 1.00/1.24 do 0 intro. intros zenon_Hc2 zenon_H2d0 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2bf zenon_H2be zenon_H2bd. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.24 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.24 apply (zenon_L184_); trivial. % 1.00/1.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.24 apply (zenon_L601_); trivial. % 1.00/1.24 apply (zenon_L39_); trivial. % 1.00/1.24 (* end of lemma zenon_L668_ *) % 1.00/1.24 assert (zenon_L669_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> False). % 1.00/1.24 do 0 intro. intros zenon_H1fc zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H12 zenon_H13 zenon_H14 zenon_H97 zenon_H99. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.24 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.24 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.24 apply (zenon_L37_); trivial. % 1.00/1.24 apply (zenon_L668_); trivial. % 1.00/1.24 (* end of lemma zenon_L669_ *) % 1.00/1.24 assert (zenon_L670_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1f0 zenon_H97 zenon_H10 zenon_H243 zenon_H244 zenon_H245 zenon_H12 zenon_H13 zenon_H14 zenon_H255 zenon_H257 zenon_H76 zenon_H77 zenon_H78 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H10d zenon_H173. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.25 apply (zenon_L275_); trivial. % 1.00/1.25 apply (zenon_L345_); trivial. % 1.00/1.25 apply (zenon_L669_); trivial. % 1.00/1.25 (* end of lemma zenon_L670_ *) % 1.00/1.25 assert (zenon_L671_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H111 zenon_H10 zenon_H2bd zenon_H2be zenon_H2bf zenon_H13c zenon_H95 zenon_H1b3 zenon_H1b1 zenon_H1b zenon_H2c6. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.25 apply (zenon_L601_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.25 apply (zenon_L339_); trivial. % 1.00/1.25 exact (zenon_H1b zenon_H1c). % 1.00/1.25 apply (zenon_L602_); trivial. % 1.00/1.25 (* end of lemma zenon_L671_ *) % 1.00/1.25 assert (zenon_L672_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H299 zenon_H2c6 zenon_H1b zenon_H1b1 zenon_H1b3 zenon_H13c zenon_H2bf zenon_H2be zenon_H2bd zenon_H111. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L671_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_L323_); trivial. % 1.00/1.25 apply (zenon_L602_); trivial. % 1.00/1.25 (* end of lemma zenon_L672_ *) % 1.00/1.25 assert (zenon_L673_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c0_1 (a116)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c3_1 (a116))) -> (c2_1 (a116)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H1d zenon_H94 zenon_H1c5 zenon_H11c zenon_H1a2 zenon_Hc7 zenon_H299 zenon_H2c6 zenon_H1b zenon_H99 zenon_H201 zenon_H1fd zenon_H85 zenon_H1f0 zenon_H97 zenon_H257 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_Hc1 zenon_Hc6 zenon_Hc8 zenon_H1af zenon_H121 zenon_H27d zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L667_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L670_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L286_); trivial. % 1.00/1.25 apply (zenon_L672_); trivial. % 1.00/1.25 (* end of lemma zenon_L673_ *) % 1.00/1.25 assert (zenon_L674_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hd9 zenon_H1c5 zenon_H1a2 zenon_H299 zenon_H2c6 zenon_H1b zenon_Hc0 zenon_H100 zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_Hc1 zenon_H1af zenon_H121 zenon_Hd zenon_Hb zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H201 zenon_H1fd zenon_H85 zenon_H1f0 zenon_H97 zenon_H257 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_H99 zenon_H11c zenon_H6a zenon_Hbf zenon_H27d zenon_H94 zenon_H22. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.25 apply (zenon_L320_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L7_); trivial. % 1.00/1.25 apply (zenon_L673_); trivial. % 1.00/1.25 (* end of lemma zenon_L674_ *) % 1.00/1.25 assert (zenon_L675_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L329_); trivial. % 1.00/1.25 apply (zenon_L614_); trivial. % 1.00/1.25 (* end of lemma zenon_L675_ *) % 1.00/1.25 assert (zenon_L676_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H1fc zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L64_); trivial. % 1.00/1.25 apply (zenon_L668_); trivial. % 1.00/1.25 (* end of lemma zenon_L676_ *) % 1.00/1.25 assert (zenon_L677_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H9 zenon_Hfa zenon_H10d zenon_H257 zenon_H255 zenon_H1b3 zenon_H1b1 zenon_H97 zenon_H1f0 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H1ee zenon_H173. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_L334_); trivial. % 1.00/1.25 apply (zenon_L676_); trivial. % 1.00/1.25 (* end of lemma zenon_L677_ *) % 1.00/1.25 assert (zenon_L678_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hbc zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1a2 zenon_H95 zenon_H13c zenon_H1b zenon_H2c6. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.25 apply (zenon_L601_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.25 apply (zenon_L223_); trivial. % 1.00/1.25 exact (zenon_H1b zenon_H1c). % 1.00/1.25 apply (zenon_L602_); trivial. % 1.00/1.25 (* end of lemma zenon_L678_ *) % 1.00/1.25 assert (zenon_L679_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hc0 zenon_H1a2 zenon_H95 zenon_H13c zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.25 apply (zenon_L603_); trivial. % 1.00/1.25 apply (zenon_L678_); trivial. % 1.00/1.25 (* end of lemma zenon_L679_ *) % 1.00/1.25 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.25 apply (zenon_L603_); trivial. % 1.00/1.25 apply (zenon_L328_); trivial. % 1.00/1.25 (* end of lemma zenon_L680_ *) % 1.00/1.25 assert (zenon_L681_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hbf zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L679_); trivial. % 1.00/1.25 apply (zenon_L680_); trivial. % 1.00/1.25 (* end of lemma zenon_L681_ *) % 1.00/1.25 assert (zenon_L682_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (ndr1_0) -> (~(c2_1 (a134))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> (~(hskp31)) -> (~(c1_1 (a163))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp10)) -> False). % 1.00/1.25 do 0 intro. intros zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1b3 zenon_H1b1 zenon_H10 zenon_H1ba zenon_H299 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_Hfc zenon_H113 zenon_H114 zenon_H115 zenon_H11c zenon_H54 zenon_H55 zenon_H53 zenon_H188 zenon_H1b. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.25 apply (zenon_L601_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H38 | zenon_intro zenon_H189 ]. % 1.00/1.25 apply (zenon_L356_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H177 | zenon_intro zenon_H11 ]. % 1.00/1.25 apply (zenon_L158_); trivial. % 1.00/1.25 apply (zenon_L159_); trivial. % 1.00/1.25 exact (zenon_H1b zenon_H1c). % 1.00/1.25 (* end of lemma zenon_L682_ *) % 1.00/1.25 assert (zenon_L683_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H259 zenon_H25b zenon_H25a zenon_H1a2 zenon_H53 zenon_H55 zenon_H54 zenon_H1b zenon_H299 zenon_H2c6 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L64_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_L682_); trivial. % 1.00/1.25 apply (zenon_L602_); trivial. % 1.00/1.25 (* end of lemma zenon_L683_ *) % 1.00/1.25 assert (zenon_L684_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H27a zenon_H121 zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H53 zenon_H55 zenon_H54 zenon_H299 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_Hbf. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L681_); trivial. % 1.00/1.25 apply (zenon_L683_); trivial. % 1.00/1.25 (* end of lemma zenon_L684_ *) % 1.00/1.25 assert (zenon_L685_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H9 zenon_Hfa zenon_H10d zenon_H257 zenon_H255 zenon_H1b3 zenon_H1b1 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H1ee zenon_H173. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_L346_); trivial. % 1.00/1.25 apply (zenon_L676_); trivial. % 1.00/1.25 (* end of lemma zenon_L685_ *) % 1.00/1.25 assert (zenon_L686_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hc2 zenon_Hc0 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.25 apply (zenon_L603_); trivial. % 1.00/1.25 apply (zenon_L43_); trivial. % 1.00/1.25 (* end of lemma zenon_L686_ *) % 1.00/1.25 assert (zenon_L687_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Hfe zenon_H2c6 zenon_H1b zenon_H1b1 zenon_H1b3 zenon_H13c zenon_H2bf zenon_H2be zenon_H2bd zenon_H10 zenon_H111. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L671_); trivial. % 1.00/1.25 apply (zenon_L686_); trivial. % 1.00/1.25 (* end of lemma zenon_L687_ *) % 1.00/1.25 assert (zenon_L688_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H27d zenon_H188 zenon_H11c zenon_H1a2 zenon_H299 zenon_H13c zenon_H1b zenon_H2c6 zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L627_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L685_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L687_); trivial. % 1.00/1.25 apply (zenon_L683_); trivial. % 1.00/1.25 (* end of lemma zenon_L688_ *) % 1.00/1.25 assert (zenon_L689_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H94 zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H201 zenon_H257 zenon_H97 zenon_H1f0 zenon_H1ee zenon_H173 zenon_H2c6 zenon_H1b zenon_H13c zenon_H1a2 zenon_H299 zenon_H11c zenon_H188 zenon_H27d zenon_H1c5. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L675_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L677_); trivial. % 1.00/1.25 apply (zenon_L684_); trivial. % 1.00/1.25 apply (zenon_L688_); trivial. % 1.00/1.25 (* end of lemma zenon_L689_ *) % 1.00/1.25 assert (zenon_L690_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hbf zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L679_); trivial. % 1.00/1.25 apply (zenon_L686_); trivial. % 1.00/1.25 (* end of lemma zenon_L690_ *) % 1.00/1.25 assert (zenon_L691_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_L84_); trivial. % 1.00/1.25 apply (zenon_L602_); trivial. % 1.00/1.25 (* end of lemma zenon_L691_ *) % 1.00/1.25 assert (zenon_L692_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L691_); trivial. % 1.00/1.25 apply (zenon_L72_); trivial. % 1.00/1.25 (* end of lemma zenon_L692_ *) % 1.00/1.25 assert (zenon_L693_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H14 zenon_H13 zenon_H12 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_Hbf. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L690_); trivial. % 1.00/1.25 apply (zenon_L692_); trivial. % 1.00/1.25 (* end of lemma zenon_L693_ *) % 1.00/1.25 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H148 zenon_H126 zenon_H146 zenon_Hfa zenon_H10d zenon_H22 zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Haf zenon_Hbf zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hd zenon_H13a zenon_H5c zenon_Hdc. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L7_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.25 apply (zenon_L78_); trivial. % 1.00/1.25 apply (zenon_L693_); trivial. % 1.00/1.25 apply (zenon_L80_); trivial. % 1.00/1.25 apply (zenon_L370_); trivial. % 1.00/1.25 (* end of lemma zenon_L694_ *) % 1.00/1.25 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H10c zenon_H146 zenon_Hee zenon_Hed zenon_Hec zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H25b zenon_H25a zenon_H259. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.00/1.25 apply (zenon_L28_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.00/1.25 apply (zenon_L60_); trivial. % 1.00/1.25 apply (zenon_L283_); trivial. % 1.00/1.25 (* end of lemma zenon_L695_ *) % 1.00/1.25 assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c0_1 (a187)) -> (~(c2_1 (a187))) -> (~(c1_1 (a187))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H174 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hee zenon_Hed zenon_Hec zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H1ec zenon_H1b3 zenon_H1b1 zenon_H10d. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.25 apply (zenon_L610_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.25 apply (zenon_L54_); trivial. % 1.00/1.25 apply (zenon_L181_); trivial. % 1.00/1.25 apply (zenon_L62_); trivial. % 1.00/1.25 (* end of lemma zenon_L696_ *) % 1.00/1.25 assert (zenon_L697_ : ((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a139))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c2_1 (a134))) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> (~(c1_1 (a163))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hf7 zenon_Hbf zenon_H173 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H1ec zenon_H10d zenon_H1f0 zenon_H97 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H25a zenon_H25b zenon_H259 zenon_H11c zenon_H1b1 zenon_H1b3 zenon_H1ba zenon_H39 zenon_H3b zenon_H3c zenon_H26c zenon_H26a zenon_H115 zenon_H114 zenon_H113 zenon_H188 zenon_H23c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H146 zenon_H111. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.25 apply (zenon_L366_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.00/1.25 apply (zenon_L384_); trivial. % 1.00/1.25 apply (zenon_L695_); trivial. % 1.00/1.25 apply (zenon_L696_); trivial. % 1.00/1.25 (* end of lemma zenon_L697_ *) % 1.00/1.25 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((hskp26)\/((hskp7)\/(hskp0))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H1d zenon_H295 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H27d zenon_H121 zenon_H1af zenon_Hc8 zenon_Hc6 zenon_Hc1 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H257 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201 zenon_H35 zenon_H33 zenon_Hea zenon_He8 zenon_H188 zenon_H26c zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_Hf5 zenon_H123 zenon_H6d zenon_H99 zenon_H74 zenon_H1c5 zenon_H94. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L667_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L670_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L286_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.25 apply (zenon_L18_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.25 apply (zenon_L59_); trivial. % 1.00/1.25 apply (zenon_L697_); trivial. % 1.00/1.25 apply (zenon_L669_); trivial. % 1.00/1.25 apply (zenon_L91_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L667_); trivial. % 1.00/1.25 apply (zenon_L397_); trivial. % 1.00/1.25 (* end of lemma zenon_L698_ *) % 1.00/1.25 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a134))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H27a zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H188 zenon_H1ba zenon_H1b3 zenon_H1b1 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H97 zenon_H1f0 zenon_H10d zenon_H1ee zenon_H173 zenon_Hbf. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_L399_); trivial. % 1.00/1.25 apply (zenon_L676_); trivial. % 1.00/1.25 (* end of lemma zenon_L699_ *) % 1.00/1.25 assert (zenon_L700_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H27d zenon_H1fd zenon_H85 zenon_H188 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L627_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L685_); trivial. % 1.00/1.25 apply (zenon_L400_); trivial. % 1.00/1.25 (* end of lemma zenon_L700_ *) % 1.00/1.25 assert (zenon_L701_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_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)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H94 zenon_H1fd zenon_H85 zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H201 zenon_H257 zenon_H97 zenon_H1f0 zenon_H1ee zenon_H173 zenon_H14c zenon_H14e zenon_H14d zenon_H1a2 zenon_H11c zenon_H188 zenon_H27d zenon_H1c5. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L675_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.25 apply (zenon_L677_); trivial. % 1.00/1.25 apply (zenon_L699_); trivial. % 1.00/1.25 apply (zenon_L700_); trivial. % 1.00/1.25 (* end of lemma zenon_L701_ *) % 1.00/1.25 assert (zenon_L702_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp12)) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp10)) -> False). % 1.00/1.25 do 0 intro. intros zenon_H174 zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H8d zenon_H76 zenon_H77 zenon_H78 zenon_H90 zenon_H1b. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.00/1.25 apply (zenon_L601_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.00/1.25 apply (zenon_L277_); trivial. % 1.00/1.25 exact (zenon_H1b zenon_H1c). % 1.00/1.25 (* end of lemma zenon_L702_ *) % 1.00/1.25 assert (zenon_L703_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H22 zenon_H94 zenon_H173 zenon_H2c6 zenon_H1b zenon_H8d zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H193 zenon_H194 zenon_H195 zenon_H1f0 zenon_H97 zenon_H188 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L7_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.25 apply (zenon_L407_); trivial. % 1.00/1.25 apply (zenon_L702_); trivial. % 1.00/1.25 (* end of lemma zenon_L703_ *) % 1.00/1.25 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H295 zenon_H1c5 zenon_H10d zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1af zenon_H99 zenon_H121 zenon_H26c zenon_H188 zenon_H111 zenon_H13a zenon_Haf zenon_H100 zenon_H97 zenon_Hf5 zenon_Hc0 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H94. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L309_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.25 apply (zenon_L450_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L412_); trivial. % 1.00/1.25 apply (zenon_L622_); trivial. % 1.00/1.25 apply (zenon_L145_); trivial. % 1.00/1.25 apply (zenon_L414_); trivial. % 1.00/1.25 (* end of lemma zenon_L704_ *) % 1.00/1.25 assert (zenon_L705_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L627_); trivial. % 1.00/1.25 apply (zenon_L161_); trivial. % 1.00/1.25 (* end of lemma zenon_L705_ *) % 1.00/1.25 assert (zenon_L706_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_H97 zenon_H99 zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.25 apply (zenon_L90_); trivial. % 1.00/1.25 apply (zenon_L622_); trivial. % 1.00/1.25 (* end of lemma zenon_L706_ *) % 1.00/1.25 assert (zenon_L707_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_H100 zenon_Haf zenon_H146 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H99 zenon_H97 zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L706_); trivial. % 1.00/1.25 apply (zenon_L161_); trivial. % 1.00/1.25 (* end of lemma zenon_L707_ *) % 1.00/1.25 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H146 zenon_H13c zenon_H99 zenon_H97 zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hfa zenon_H1af zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121 zenon_H94. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.25 apply (zenon_L675_); trivial. % 1.00/1.25 apply (zenon_L417_); trivial. % 1.00/1.25 apply (zenon_L705_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_L707_); trivial. % 1.00/1.25 (* end of lemma zenon_L708_ *) % 1.00/1.25 assert (zenon_L709_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H146 zenon_H13c zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H193 zenon_H194 zenon_H195 zenon_H1f0 zenon_H97 zenon_H188 zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H94 zenon_H22. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.25 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L7_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.25 apply (zenon_L416_); trivial. % 1.00/1.25 apply (zenon_L669_); trivial. % 1.00/1.25 apply (zenon_L708_); trivial. % 1.00/1.25 (* end of lemma zenon_L709_ *) % 1.00/1.25 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp13)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp12)) -> False). % 1.00/1.25 do 0 intro. intros zenon_H174 zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_Hb zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H8d. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.25 apply (zenon_L28_); trivial. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.25 apply (zenon_L138_); trivial. % 1.00/1.25 exact (zenon_H8d zenon_H8e). % 1.00/1.25 (* end of lemma zenon_L710_ *) % 1.00/1.25 assert (zenon_L711_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.25 do 0 intro. intros zenon_H22 zenon_H94 zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H193 zenon_H194 zenon_H195 zenon_H1f0 zenon_H97 zenon_H188 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L7_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.25 apply (zenon_L407_); trivial. % 1.00/1.25 apply (zenon_L710_); trivial. % 1.00/1.25 (* end of lemma zenon_L711_ *) % 1.00/1.25 assert (zenon_L712_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.25 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H295 zenon_H27d zenon_H5c zenon_H173 zenon_H1ee zenon_H257 zenon_H1f0 zenon_H1fd zenon_H201 zenon_H121 zenon_H26c zenon_H188 zenon_H111 zenon_H13a zenon_Haf zenon_H100 zenon_H97 zenon_Hf5 zenon_Hc0 zenon_Hbf zenon_H13c zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H10d zenon_H11c zenon_H74 zenon_H90 zenon_H8d zenon_H85 zenon_H87 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H94. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.25 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.25 apply (zenon_L309_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.25 apply (zenon_L272_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.25 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.25 apply (zenon_L449_); trivial. % 1.00/1.25 apply (zenon_L432_); trivial. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.25 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L272_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L445_); trivial. % 1.00/1.26 apply (zenon_L312_); trivial. % 1.00/1.26 (* end of lemma zenon_L712_ *) % 1.00/1.26 assert (zenon_L713_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1fc zenon_Hbf zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H2d0. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.26 apply (zenon_L184_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.26 apply (zenon_L601_); trivial. % 1.00/1.26 apply (zenon_L199_); trivial. % 1.00/1.26 apply (zenon_L668_); trivial. % 1.00/1.26 (* end of lemma zenon_L713_ *) % 1.00/1.26 assert (zenon_L714_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H201 zenon_Hbf zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H2d0 zenon_H10d zenon_H257 zenon_H255 zenon_H1b3 zenon_H1b1 zenon_H97 zenon_H1f0 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H1ee zenon_H173. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L334_); trivial. % 1.00/1.26 apply (zenon_L713_); trivial. % 1.00/1.26 (* end of lemma zenon_L714_ *) % 1.00/1.26 assert (zenon_L715_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> (~(hskp28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_H95 zenon_Hfa zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.26 apply (zenon_L603_); trivial. % 1.00/1.26 apply (zenon_L200_); trivial. % 1.00/1.26 (* end of lemma zenon_L715_ *) % 1.00/1.26 assert (zenon_L716_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hbf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H76 zenon_H77 zenon_H78 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_L715_); trivial. % 1.00/1.26 apply (zenon_L686_); trivial. % 1.00/1.26 (* end of lemma zenon_L716_ *) % 1.00/1.26 assert (zenon_L717_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H27d zenon_H188 zenon_H11c zenon_H1a2 zenon_H299 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H1b zenon_H2c6 zenon_H173 zenon_H1ee zenon_H1f0 zenon_H97 zenon_H243 zenon_H244 zenon_H245 zenon_H257 zenon_H201 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.26 apply (zenon_L627_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L685_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.26 apply (zenon_L716_); trivial. % 1.00/1.26 apply (zenon_L683_); trivial. % 1.00/1.26 (* end of lemma zenon_L717_ *) % 1.00/1.26 assert (zenon_L718_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H255 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H10 zenon_H97 zenon_H1f0. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.26 apply (zenon_L275_); trivial. % 1.00/1.26 apply (zenon_L710_); trivial. % 1.00/1.26 (* end of lemma zenon_L718_ *) % 1.00/1.26 assert (zenon_L719_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H296 zenon_H94 zenon_H27d zenon_Hbf zenon_H11c zenon_H68 zenon_H6a zenon_H13c zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H173 zenon_H10d zenon_H1ee zenon_Haf zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H257 zenon_H97 zenon_H1f0 zenon_H85 zenon_H1fd zenon_H201 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L272_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L445_); trivial. % 1.00/1.26 apply (zenon_L371_); trivial. % 1.00/1.26 (* end of lemma zenon_L719_ *) % 1.00/1.26 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H295 zenon_H10d zenon_H1ee zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H85 zenon_H1fd zenon_H201 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H257 zenon_H97 zenon_H1f0 zenon_Hbf zenon_H111 zenon_H100 zenon_H13c zenon_H1a2 zenon_H23c zenon_Haf zenon_Hc0 zenon_H35 zenon_H33 zenon_H99 zenon_H6a zenon_H68 zenon_H11c zenon_H26c zenon_H188 zenon_H6d zenon_H121 zenon_H27d zenon_H94. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L272_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L718_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.26 apply (zenon_L376_); trivial. % 1.00/1.26 apply (zenon_L298_); trivial. % 1.00/1.26 apply (zenon_L719_); trivial. % 1.00/1.26 (* end of lemma zenon_L720_ *) % 1.00/1.26 assert (zenon_L721_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a116)) -> (~(c3_1 (a116))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H121 zenon_H1af zenon_H1ad zenon_Hc8 zenon_Hc6 zenon_Hc1 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H14 zenon_H13 zenon_H12 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_Hbf. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.26 apply (zenon_L228_); trivial. % 1.00/1.26 apply (zenon_L666_); trivial. % 1.00/1.26 (* end of lemma zenon_L721_ *) % 1.00/1.26 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_H1fd zenon_H85 zenon_H6d zenon_Haf zenon_H111 zenon_H1e6 zenon_H100 zenon_H13c zenon_H1a2 zenon_H188 zenon_Hc0 zenon_H33 zenon_H35 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H146 zenon_H26a zenon_H26c zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H121 zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L670_); trivial. % 1.00/1.26 apply (zenon_L434_); trivial. % 1.00/1.26 (* end of lemma zenon_L722_ *) % 1.00/1.26 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1c2 zenon_H27d zenon_H1fd zenon_H85 zenon_H35 zenon_H33 zenon_H111 zenon_H1e6 zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Haf zenon_H188 zenon_H11c zenon_H1a2 zenon_H14d zenon_H14e zenon_H14c zenon_H6d zenon_H173 zenon_H10d zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H245 zenon_H244 zenon_H243 zenon_H97 zenon_H1f0 zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.00/1.26 apply (zenon_L670_); trivial. % 1.00/1.26 apply (zenon_L443_); trivial. % 1.00/1.26 (* end of lemma zenon_L723_ *) % 1.00/1.26 assert (zenon_L724_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hdc zenon_H295 zenon_H201 zenon_H1fd zenon_H146 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H1ee zenon_H10d zenon_H121 zenon_H26c zenon_H111 zenon_H13a zenon_Haf zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H5c zenon_H74 zenon_H85 zenon_H87 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H188 zenon_H97 zenon_H1f0 zenon_H195 zenon_H194 zenon_H193 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H8d zenon_H90 zenon_H173 zenon_H94 zenon_H22. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.26 apply (zenon_L711_); trivial. % 1.00/1.26 apply (zenon_L453_); trivial. % 1.00/1.26 (* end of lemma zenon_L724_ *) % 1.00/1.26 assert (zenon_L725_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H94 zenon_Hbf zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L272_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_L691_); trivial. % 1.00/1.26 apply (zenon_L212_); trivial. % 1.00/1.26 (* end of lemma zenon_L725_ *) % 1.00/1.26 assert (zenon_L726_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hbf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.26 apply (zenon_L99_); trivial. % 1.00/1.26 apply (zenon_L454_); trivial. % 1.00/1.26 apply (zenon_L461_); trivial. % 1.00/1.26 (* end of lemma zenon_L726_ *) % 1.00/1.26 assert (zenon_L727_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H94 zenon_H1a2 zenon_H13c zenon_Hbf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H10d zenon_H11c zenon_H20b zenon_H20a zenon_H209 zenon_H2be zenon_H2bd zenon_H2bf zenon_H2d9 zenon_H121. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.26 apply (zenon_L726_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.26 apply (zenon_L637_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.26 apply (zenon_L229_); trivial. % 1.00/1.26 apply (zenon_L206_); trivial. % 1.00/1.26 apply (zenon_L230_); trivial. % 1.00/1.26 apply (zenon_L231_); trivial. % 1.00/1.26 (* end of lemma zenon_L727_ *) % 1.00/1.26 assert (zenon_L728_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H18e zenon_H126 zenon_H22 zenon_H146 zenon_H121 zenon_H2d9 zenon_H2bf zenon_H2bd zenon_H2be zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_H10d zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_H155 zenon_H111 zenon_Hbf zenon_H13c zenon_H1a2 zenon_H94 zenon_H13a zenon_Hdc. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_L727_); trivial. % 1.00/1.26 apply (zenon_L457_); trivial. % 1.00/1.26 apply (zenon_L233_); trivial. % 1.00/1.26 apply (zenon_L465_); trivial. % 1.00/1.26 (* end of lemma zenon_L728_ *) % 1.00/1.26 assert (zenon_L729_ : (forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80)))))) -> (ndr1_0) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1e8 zenon_H10 zenon_H2db zenon_H2dc zenon_H2dd. % 1.00/1.26 generalize (zenon_H1e8 (a103)). zenon_intro zenon_H2de. % 1.00/1.26 apply (zenon_imply_s _ _ zenon_H2de); [ zenon_intro zenon_Hf | zenon_intro zenon_H2df ]. % 1.00/1.26 exact (zenon_Hf zenon_H10). % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e0 ]. % 1.00/1.26 exact (zenon_H2db zenon_H2e1). % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e2 ]. % 1.00/1.26 exact (zenon_H2e3 zenon_H2dc). % 1.00/1.26 exact (zenon_H2e2 zenon_H2dd). % 1.00/1.26 (* end of lemma zenon_L729_ *) % 1.00/1.26 assert (zenon_L730_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 1.00/1.26 apply (zenon_L9_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1ed ]. % 1.00/1.26 apply (zenon_L729_); trivial. % 1.00/1.26 exact (zenon_H1ec zenon_H1ed). % 1.00/1.26 (* end of lemma zenon_L730_ *) % 1.00/1.26 assert (zenon_L731_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H97 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L730_); trivial. % 1.00/1.26 apply (zenon_L669_); trivial. % 1.00/1.26 (* end of lemma zenon_L731_ *) % 1.00/1.26 assert (zenon_L732_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H22 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H97 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_L7_); trivial. % 1.00/1.26 apply (zenon_L731_); trivial. % 1.00/1.26 (* end of lemma zenon_L732_ *) % 1.00/1.26 assert (zenon_L733_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1fc zenon_H240 zenon_H23e zenon_H3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H241 ]. % 1.00/1.26 apply (zenon_L184_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H23f | zenon_intro zenon_H4 ]. % 1.00/1.26 exact (zenon_H23e zenon_H23f). % 1.00/1.26 exact (zenon_H3 zenon_H4). % 1.00/1.26 (* end of lemma zenon_L733_ *) % 1.00/1.26 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L730_); trivial. % 1.00/1.26 apply (zenon_L733_); trivial. % 1.00/1.26 (* end of lemma zenon_L734_ *) % 1.00/1.26 assert (zenon_L735_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H22 zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H74 zenon_H6d zenon_H6e zenon_H1 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H87 zenon_H85 zenon_H8d zenon_H90 zenon_H94. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_L34_); trivial. % 1.00/1.26 apply (zenon_L734_); trivial. % 1.00/1.26 (* end of lemma zenon_L735_ *) % 1.00/1.26 assert (zenon_L736_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_H26 zenon_H25 zenon_H89 zenon_H24 zenon_H10 zenon_H68. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.26 apply (zenon_L54_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.26 apply (zenon_L47_); trivial. % 1.00/1.26 exact (zenon_H68 zenon_H69). % 1.00/1.26 (* end of lemma zenon_L736_ *) % 1.00/1.26 assert (zenon_L737_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H5c zenon_H7f zenon_H4b zenon_H4a zenon_H49 zenon_H10 zenon_H53 zenon_H54 zenon_H55. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.00/1.26 apply (zenon_L310_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.00/1.26 apply (zenon_L20_); trivial. % 1.00/1.26 apply (zenon_L21_); trivial. % 1.00/1.26 (* end of lemma zenon_L737_ *) % 1.00/1.26 assert (zenon_L738_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H74 zenon_Hd3 zenon_H53 zenon_H55 zenon_H54 zenon_H5c zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H2f zenon_H31. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.26 apply (zenon_L16_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H5f | zenon_intro zenon_Hd4 ]. % 1.00/1.26 apply (zenon_L55_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H89 | zenon_intro zenon_H7f ]. % 1.00/1.26 apply (zenon_L736_); trivial. % 1.00/1.26 apply (zenon_L737_); trivial. % 1.00/1.26 (* end of lemma zenon_L738_ *) % 1.00/1.26 assert (zenon_L739_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H102 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 1.00/1.26 apply (zenon_L159_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1ed ]. % 1.00/1.26 apply (zenon_L729_); trivial. % 1.00/1.26 exact (zenon_H1ec zenon_H1ed). % 1.00/1.26 (* end of lemma zenon_L739_ *) % 1.00/1.26 assert (zenon_L740_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.26 apply (zenon_L28_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.26 apply (zenon_L54_); trivial. % 1.00/1.26 apply (zenon_L739_); trivial. % 1.00/1.26 (* end of lemma zenon_L740_ *) % 1.00/1.26 assert (zenon_L741_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H201 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.26 apply (zenon_L627_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L740_); trivial. % 1.00/1.26 apply (zenon_L676_); trivial. % 1.00/1.26 (* end of lemma zenon_L741_ *) % 1.00/1.26 assert (zenon_L742_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a114))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H22 zenon_H240 zenon_H3 zenon_H23e zenon_H74 zenon_Hd3 zenon_H53 zenon_H55 zenon_H54 zenon_H5c zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1af zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H201 zenon_H1c5 zenon_H94. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L738_); trivial. % 1.00/1.26 apply (zenon_L741_); trivial. % 1.00/1.26 apply (zenon_L734_); trivial. % 1.00/1.26 (* end of lemma zenon_L742_ *) % 1.00/1.26 assert (zenon_L743_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H97 zenon_H99 zenon_Hd3 zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_H121 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hfa zenon_Hdf zenon_Hde zenon_Hdd zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H201 zenon_H1c5 zenon_H94. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.26 apply (zenon_L49_); trivial. % 1.00/1.26 apply (zenon_L741_); trivial. % 1.00/1.26 apply (zenon_L731_); trivial. % 1.00/1.26 (* end of lemma zenon_L743_ *) % 1.00/1.26 assert (zenon_L744_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H122 zenon_Hdc zenon_Hd9 zenon_Hcf zenon_H94 zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H6a zenon_H5c zenon_Hd3 zenon_H74 zenon_H23e zenon_H3 zenon_H240 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.26 apply (zenon_L732_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.26 apply (zenon_L742_); trivial. % 1.00/1.26 apply (zenon_L743_); trivial. % 1.00/1.26 (* end of lemma zenon_L744_ *) % 1.00/1.26 assert (zenon_L745_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1fc zenon_Hbf zenon_H2d0 zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_L691_); trivial. % 1.00/1.26 apply (zenon_L668_); trivial. % 1.00/1.26 (* end of lemma zenon_L745_ *) % 1.00/1.26 assert (zenon_L746_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H201 zenon_Hbf zenon_H2d0 zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L730_); trivial. % 1.00/1.26 apply (zenon_L745_); trivial. % 1.00/1.26 (* end of lemma zenon_L746_ *) % 1.00/1.26 assert (zenon_L747_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H22 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_L7_); trivial. % 1.00/1.26 apply (zenon_L746_); trivial. % 1.00/1.26 (* end of lemma zenon_L747_ *) % 1.00/1.26 assert (zenon_L748_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hdc zenon_H74 zenon_H5c zenon_H8d zenon_H13a zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H13c zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.26 apply (zenon_L747_); trivial. % 1.00/1.26 apply (zenon_L80_); trivial. % 1.00/1.26 (* end of lemma zenon_L748_ *) % 1.00/1.26 assert (zenon_L749_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H90 zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H10 zenon_H8d. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.00/1.26 apply (zenon_L610_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.00/1.26 apply (zenon_L45_); trivial. % 1.00/1.26 exact (zenon_H8d zenon_H8e). % 1.00/1.26 (* end of lemma zenon_L749_ *) % 1.00/1.26 assert (zenon_L750_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H8d zenon_H90 zenon_H97 zenon_H3 zenon_H214. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.26 apply (zenon_L196_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.26 apply (zenon_L749_); trivial. % 1.00/1.26 apply (zenon_L62_); trivial. % 1.00/1.26 (* end of lemma zenon_L750_ *) % 1.00/1.26 assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H6c zenon_H6d zenon_Hbf zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H9 zenon_Hfa zenon_H33 zenon_H35. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.26 apply (zenon_L18_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.00/1.26 apply (zenon_L22_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.00/1.26 exact (zenon_H9 zenon_Ha). % 1.00/1.26 exact (zenon_H95 zenon_H96). % 1.00/1.26 apply (zenon_L254_); trivial. % 1.00/1.26 (* end of lemma zenon_L751_ *) % 1.00/1.26 assert (zenon_L752_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H74 zenon_H6d zenon_Hbf zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H9 zenon_Hfa zenon_H33 zenon_H35 zenon_H214 zenon_H3 zenon_H97 zenon_H90 zenon_H8d zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_Hf5 zenon_Hc0 zenon_H123. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.26 apply (zenon_L750_); trivial. % 1.00/1.26 apply (zenon_L751_); trivial. % 1.00/1.26 (* end of lemma zenon_L752_ *) % 1.00/1.26 assert (zenon_L753_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H201 zenon_H2d0 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H123 zenon_Hc0 zenon_Hf5 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H8d zenon_H90 zenon_H97 zenon_H3 zenon_H214 zenon_H35 zenon_H33 zenon_Hfa zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_Hbf zenon_H6d zenon_H74. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_L752_); trivial. % 1.00/1.26 apply (zenon_L731_); trivial. % 1.00/1.26 (* end of lemma zenon_L753_ *) % 1.00/1.26 assert (zenon_L754_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H74 zenon_H6d zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H33 zenon_H35 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_Hfa zenon_H9 zenon_H1af zenon_H1ad zenon_H55 zenon_H54 zenon_H53 zenon_H2d0 zenon_Hbf zenon_H121. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.26 apply (zenon_L615_); trivial. % 1.00/1.26 apply (zenon_L751_); trivial. % 1.00/1.26 (* end of lemma zenon_L754_ *) % 1.00/1.26 assert (zenon_L755_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.26 apply (zenon_L610_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.26 apply (zenon_L54_); trivial. % 1.00/1.26 apply (zenon_L739_); trivial. % 1.00/1.26 (* end of lemma zenon_L755_ *) % 1.00/1.26 assert (zenon_L756_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.00/1.26 apply (zenon_L196_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.26 apply (zenon_L755_); trivial. % 1.00/1.26 apply (zenon_L62_); trivial. % 1.00/1.26 apply (zenon_L733_); trivial. % 1.00/1.26 (* end of lemma zenon_L756_ *) % 1.00/1.26 assert (zenon_L757_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1c2 zenon_H74 zenon_Hbf zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H9 zenon_Hfa zenon_H123 zenon_Hc0 zenon_Hf5 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H10d zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.26 apply (zenon_L756_); trivial. % 1.00/1.26 apply (zenon_L255_); trivial. % 1.00/1.26 (* end of lemma zenon_L757_ *) % 1.00/1.26 assert (zenon_L758_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H74 zenon_H6d zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H33 zenon_H35 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H10d zenon_H111 zenon_H3 zenon_H214 zenon_Hfa zenon_H1af zenon_H121 zenon_H240 zenon_H23e zenon_H1c5 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.26 apply (zenon_L732_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.26 apply (zenon_L754_); trivial. % 1.00/1.26 apply (zenon_L757_); trivial. % 1.00/1.26 apply (zenon_L731_); trivial. % 1.00/1.26 (* end of lemma zenon_L758_ *) % 1.00/1.26 assert (zenon_L759_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c2_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.00/1.26 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.26 apply (zenon_L226_); trivial. % 1.00/1.26 apply (zenon_L668_); trivial. % 1.00/1.26 (* end of lemma zenon_L759_ *) % 1.00/1.26 assert (zenon_L760_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1fc zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H14 zenon_H13 zenon_H12 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.26 apply (zenon_L759_); trivial. % 1.00/1.26 apply (zenon_L112_); trivial. % 1.00/1.26 (* end of lemma zenon_L760_ *) % 1.00/1.26 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1d zenon_H74 zenon_H201 zenon_H121 zenon_H11c zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.26 apply (zenon_L78_); trivial. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.26 apply (zenon_L730_); trivial. % 1.00/1.26 apply (zenon_L760_); trivial. % 1.00/1.26 (* end of lemma zenon_L761_ *) % 1.00/1.26 assert (zenon_L762_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a143))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.26 do 0 intro. intros zenon_H1ee zenon_H17a zenon_H179 zenon_H1f2 zenon_H178 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 1.00/1.26 apply (zenon_L629_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1ed ]. % 1.00/1.26 apply (zenon_L729_); trivial. % 1.00/1.26 exact (zenon_H1ec zenon_H1ed). % 1.00/1.26 (* end of lemma zenon_L762_ *) % 1.00/1.26 assert (zenon_L763_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp22)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> False). % 1.00/1.26 do 0 intro. intros zenon_Hc2 zenon_H2d0 zenon_H1ec zenon_H2db zenon_H2dc zenon_H2dd zenon_H178 zenon_H179 zenon_H17a zenon_H1ee zenon_H2bf zenon_H2be zenon_H2bd. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.00/1.26 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.26 apply (zenon_L762_); trivial. % 1.00/1.26 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.26 apply (zenon_L601_); trivial. % 1.00/1.26 apply (zenon_L39_); trivial. % 1.00/1.26 (* end of lemma zenon_L763_ *) % 1.00/1.26 assert (zenon_L764_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hbf zenon_H1ee zenon_H1ec zenon_H2dd zenon_H2dc zenon_H2db zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H2d0. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2d1 ]. % 1.00/1.27 apply (zenon_L762_); trivial. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2bc | zenon_intro zenon_Ha5 ]. % 1.00/1.27 apply (zenon_L601_); trivial. % 1.00/1.27 apply (zenon_L199_); trivial. % 1.00/1.27 apply (zenon_L763_); trivial. % 1.00/1.27 (* end of lemma zenon_L764_ *) % 1.00/1.27 assert (zenon_L765_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18a zenon_H201 zenon_H2d0 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.27 apply (zenon_L764_); trivial. % 1.00/1.27 apply (zenon_L713_); trivial. % 1.00/1.27 (* end of lemma zenon_L765_ *) % 1.00/1.27 assert (zenon_L766_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18d zenon_H201 zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H20b zenon_H20a zenon_H209 zenon_H9 zenon_Hfa zenon_Hbf zenon_H121. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.27 apply (zenon_L650_); trivial. % 1.00/1.27 apply (zenon_L765_); trivial. % 1.00/1.27 (* end of lemma zenon_L766_ *) % 1.00/1.27 assert (zenon_L767_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H94 zenon_H6d zenon_Haf zenon_H13c zenon_H1a2 zenon_H1e6 zenon_H10d zenon_H90 zenon_H8d zenon_H33 zenon_H35 zenon_H121 zenon_Hbf zenon_Hfa zenon_H9 zenon_H209 zenon_H20a zenon_H20b zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H11c zenon_Hc0 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H173 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2d0 zenon_H201 zenon_H18d. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.27 apply (zenon_L766_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.27 apply (zenon_L655_); trivial. % 1.00/1.27 apply (zenon_L765_); trivial. % 1.00/1.27 (* end of lemma zenon_L767_ *) % 1.00/1.27 assert (zenon_L768_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H22 zenon_H97 zenon_H99 zenon_H18d zenon_H201 zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H173 zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H20b zenon_H20a zenon_H209 zenon_Hfa zenon_Hbf zenon_H121 zenon_H35 zenon_H33 zenon_H8d zenon_H90 zenon_H10d zenon_H1e6 zenon_H1a2 zenon_H13c zenon_Haf zenon_H6d zenon_H94. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L767_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 (* end of lemma zenon_L768_ *) % 1.00/1.27 assert (zenon_L769_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H122 zenon_H22 zenon_H201 zenon_H240 zenon_H23e zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L236_); trivial. % 1.00/1.27 apply (zenon_L734_); trivial. % 1.00/1.27 (* end of lemma zenon_L769_ *) % 1.00/1.27 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H35 zenon_H33 zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H10d zenon_H111 zenon_Hbf zenon_H6d. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.27 apply (zenon_L202_); trivial. % 1.00/1.27 apply (zenon_L218_); trivial. % 1.00/1.27 (* end of lemma zenon_L770_ *) % 1.00/1.27 assert (zenon_L771_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H35 zenon_H33 zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H1e6 zenon_H10d zenon_H111 zenon_Hbf zenon_H6d zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L78_); trivial. % 1.00/1.27 apply (zenon_L770_); trivial. % 1.00/1.27 (* end of lemma zenon_L771_ *) % 1.00/1.27 assert (zenon_L772_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H122 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L236_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 (* end of lemma zenon_L772_ *) % 1.00/1.27 assert (zenon_L773_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Haf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H10d zenon_Hfa zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_H121 zenon_H94 zenon_H13a zenon_Hdc. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L232_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 apply (zenon_L233_); trivial. % 1.00/1.27 apply (zenon_L772_); trivial. % 1.00/1.27 (* end of lemma zenon_L773_ *) % 1.00/1.27 assert (zenon_L774_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18a zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_H2d0 zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.27 apply (zenon_L764_); trivial. % 1.00/1.27 apply (zenon_L733_); trivial. % 1.00/1.27 (* end of lemma zenon_L774_ *) % 1.00/1.27 assert (zenon_L775_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hdc zenon_H5c zenon_H8d zenon_H13a zenon_H94 zenon_H35 zenon_H33 zenon_Haf zenon_H1e6 zenon_H10d zenon_H6d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_H121 zenon_Hbf zenon_H11c zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Hfa zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H23e zenon_H3 zenon_H240 zenon_H201 zenon_H18d zenon_H74 zenon_H22. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L78_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.27 apply (zenon_L240_); trivial. % 1.00/1.27 apply (zenon_L774_); trivial. % 1.00/1.27 apply (zenon_L771_); trivial. % 1.00/1.27 apply (zenon_L734_); trivial. % 1.00/1.27 apply (zenon_L80_); trivial. % 1.00/1.27 (* end of lemma zenon_L775_ *) % 1.00/1.27 assert (zenon_L776_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18a zenon_H201 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.27 apply (zenon_L64_); trivial. % 1.00/1.27 apply (zenon_L763_); trivial. % 1.00/1.27 apply (zenon_L676_); trivial. % 1.00/1.27 (* end of lemma zenon_L776_ *) % 1.00/1.27 assert (zenon_L777_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hd8 zenon_H22 zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_Hdf zenon_Hde zenon_Hdd zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H5c zenon_Hbf zenon_H74. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L256_); trivial. % 1.00/1.27 apply (zenon_L734_); trivial. % 1.00/1.27 (* end of lemma zenon_L777_ *) % 1.00/1.27 assert (zenon_L778_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hdf zenon_Hde zenon_Hdd zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.27 apply (zenon_L307_); trivial. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.27 apply (zenon_L54_); trivial. % 1.00/1.27 apply (zenon_L739_); trivial. % 1.00/1.27 (* end of lemma zenon_L778_ *) % 1.00/1.27 assert (zenon_L779_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H1c2 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H9 zenon_Hfa zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H10d. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.00/1.27 apply (zenon_L778_); trivial. % 1.00/1.27 apply (zenon_L676_); trivial. % 1.00/1.27 (* end of lemma zenon_L779_ *) % 1.00/1.27 assert (zenon_L780_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H1c5 zenon_H201 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.00/1.27 apply (zenon_L675_); trivial. % 1.00/1.27 apply (zenon_L779_); trivial. % 1.00/1.27 (* end of lemma zenon_L780_ *) % 1.00/1.27 assert (zenon_L781_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_H94 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_L732_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.27 apply (zenon_L780_); trivial. % 1.00/1.27 apply (zenon_L741_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 (* end of lemma zenon_L781_ *) % 1.00/1.27 assert (zenon_L782_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H126 zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_H22 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H97 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H1 zenon_Hd zenon_H94 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H87 zenon_H85 zenon_H90 zenon_Hdc. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_L732_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L309_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 apply (zenon_L781_); trivial. % 1.00/1.27 (* end of lemma zenon_L782_ *) % 1.00/1.27 assert (zenon_L783_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hbf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.00/1.27 apply (zenon_L603_); trivial. % 1.00/1.27 apply (zenon_L454_); trivial. % 1.00/1.27 apply (zenon_L680_); trivial. % 1.00/1.27 (* end of lemma zenon_L783_ *) % 1.00/1.27 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.27 apply (zenon_L783_); trivial. % 1.00/1.27 apply (zenon_L218_); trivial. % 1.00/1.27 (* end of lemma zenon_L784_ *) % 1.00/1.27 assert (zenon_L785_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hbf zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L78_); trivial. % 1.00/1.27 apply (zenon_L784_); trivial. % 1.00/1.27 (* end of lemma zenon_L785_ *) % 1.00/1.27 assert (zenon_L786_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.27 apply (zenon_L716_); trivial. % 1.00/1.27 apply (zenon_L218_); trivial. % 1.00/1.27 (* end of lemma zenon_L786_ *) % 1.00/1.27 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L78_); trivial. % 1.00/1.27 apply (zenon_L786_); trivial. % 1.00/1.27 (* end of lemma zenon_L787_ *) % 1.00/1.27 assert (zenon_L788_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H94 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hbf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H9 zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H11c zenon_H121 zenon_H74. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.27 apply (zenon_L785_); trivial. % 1.00/1.27 apply (zenon_L787_); trivial. % 1.00/1.27 (* end of lemma zenon_L788_ *) % 1.00/1.27 assert (zenon_L789_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H148 zenon_H22 zenon_H201 zenon_H2d0 zenon_H13c zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hbf zenon_H127 zenon_H94. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L788_); trivial. % 1.00/1.27 apply (zenon_L746_); trivial. % 1.00/1.27 (* end of lemma zenon_L789_ *) % 1.00/1.27 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_H9 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hbf. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.27 apply (zenon_L726_); trivial. % 1.00/1.27 apply (zenon_L218_); trivial. % 1.00/1.27 (* end of lemma zenon_L790_ *) % 1.00/1.27 assert (zenon_L791_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H22 zenon_H13c zenon_H146 zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hbf zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H94. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L78_); trivial. % 1.00/1.27 apply (zenon_L790_); trivial. % 1.00/1.27 apply (zenon_L245_); trivial. % 1.00/1.27 apply (zenon_L403_); trivial. % 1.00/1.27 (* end of lemma zenon_L791_ *) % 1.00/1.27 assert (zenon_L792_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hdc zenon_H13a zenon_H8d zenon_H20b zenon_H20a zenon_H209 zenon_H94 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H10 zenon_Hbf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H11c zenon_H121 zenon_H74 zenon_H146 zenon_H13c zenon_H22. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_L791_); trivial. % 1.00/1.27 apply (zenon_L233_); trivial. % 1.00/1.27 (* end of lemma zenon_L792_ *) % 1.00/1.27 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a108))) -> (c1_1 (a108)) -> (c3_1 (a108)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H148 zenon_H126 zenon_H10d zenon_H22 zenon_H13c zenon_H146 zenon_H74 zenon_H121 zenon_H11c zenon_Hc0 zenon_Haf zenon_H1d0 zenon_H1d1 zenon_H1d2 zenon_Hfa zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hbf zenon_H127 zenon_H94 zenon_H209 zenon_H20a zenon_H20b zenon_H13a zenon_Hdc. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.27 apply (zenon_L792_); trivial. % 1.00/1.27 apply (zenon_L465_); trivial. % 1.00/1.27 (* end of lemma zenon_L793_ *) % 1.00/1.27 assert (zenon_L794_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c3_1 (a108)) -> (c1_1 (a108)) -> (~(c0_1 (a108))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18e zenon_H18f zenon_H74 zenon_H127 zenon_Hdc zenon_H13a zenon_H94 zenon_H1a2 zenon_H13c zenon_Hbf zenon_H111 zenon_H155 zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Hfa zenon_H1d2 zenon_H1d1 zenon_H1d0 zenon_Haf zenon_Hc0 zenon_H10d zenon_H11c zenon_H20b zenon_H20a zenon_H209 zenon_H2be zenon_H2bd zenon_H2bf zenon_H2d9 zenon_H121 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H2d0 zenon_H201 zenon_H22 zenon_H146 zenon_H126. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L727_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 apply (zenon_L233_); trivial. % 1.00/1.27 apply (zenon_L465_); trivial. % 1.00/1.27 apply (zenon_L793_); trivial. % 1.00/1.27 (* end of lemma zenon_L794_ *) % 1.00/1.27 assert (zenon_L795_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H22 zenon_H94 zenon_Hbf zenon_H146 zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H2c6 zenon_H111 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H10 zenon_H193 zenon_H194 zenon_H195 zenon_H1b zenon_H19c. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L133_); trivial. % 1.00/1.27 apply (zenon_L725_); trivial. % 1.00/1.27 (* end of lemma zenon_L795_ *) % 1.00/1.27 assert (zenon_L796_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_Hdc zenon_H18d zenon_H1f0 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_Hfa zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_Hf5 zenon_H111 zenon_H173 zenon_H5c zenon_H74 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_L732_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.27 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.00/1.27 apply (zenon_L497_); trivial. % 1.00/1.27 apply (zenon_L731_); trivial. % 1.00/1.27 (* end of lemma zenon_L796_ *) % 1.00/1.27 assert (zenon_L797_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H127 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H13c zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.00/1.27 apply (zenon_L747_); trivial. % 1.00/1.27 apply (zenon_L166_); trivial. % 1.00/1.27 (* end of lemma zenon_L797_ *) % 1.00/1.27 assert (zenon_L798_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18e zenon_H18f zenon_Hcf zenon_H155 zenon_H100 zenon_Hc0 zenon_H13c zenon_H11c zenon_H121 zenon_H127 zenon_Haf zenon_H146 zenon_H94 zenon_H22 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H1 zenon_Hd zenon_H74 zenon_H5c zenon_H173 zenon_H111 zenon_Hf5 zenon_H1ce zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H1f0 zenon_H18d zenon_Hdc. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.27 apply (zenon_L796_); trivial. % 1.00/1.27 apply (zenon_L167_); trivial. % 1.00/1.27 (* end of lemma zenon_L798_ *) % 1.00/1.27 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H202 zenon_H192 zenon_Hcf zenon_H155 zenon_H100 zenon_Hc0 zenon_H11c zenon_H121 zenon_Haf zenon_H146 zenon_H94 zenon_Hdc zenon_H18d zenon_H1f0 zenon_H188 zenon_Hfa zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_Hf5 zenon_H111 zenon_H173 zenon_H5c zenon_H74 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22 zenon_H13c zenon_H2c6 zenon_H127 zenon_H18f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.00/1.27 apply (zenon_L796_); trivial. % 1.00/1.27 apply (zenon_L797_); trivial. % 1.00/1.27 apply (zenon_L798_); trivial. % 1.00/1.27 (* end of lemma zenon_L799_ *) % 1.00/1.27 assert (zenon_L800_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H35 zenon_H33 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1e6 zenon_H68 zenon_H6a zenon_H111 zenon_H173 zenon_H6d. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.00/1.27 apply (zenon_L472_); trivial. % 1.00/1.27 apply (zenon_L500_); trivial. % 1.00/1.27 (* end of lemma zenon_L800_ *) % 1.00/1.27 assert (zenon_L801_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H148 zenon_Hd9 zenon_H22 zenon_H13c zenon_H146 zenon_Hcf zenon_H127 zenon_Haf zenon_Hbf zenon_Hc0 zenon_H100 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H74 zenon_H94 zenon_H6d zenon_H173 zenon_H111 zenon_H6a zenon_H1e6 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H33 zenon_H35 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_H18d. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.00/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.27 apply (zenon_L800_); trivial. % 1.00/1.27 apply (zenon_L525_); trivial. % 1.00/1.27 (* end of lemma zenon_L801_ *) % 1.00/1.27 assert (zenon_L802_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H1de zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6. % 1.00/1.27 generalize (zenon_H1de (a101)). zenon_intro zenon_H2e7. % 1.00/1.27 apply (zenon_imply_s _ _ zenon_H2e7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e8 ]. % 1.00/1.27 exact (zenon_Hf zenon_H10). % 1.00/1.27 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2e9 ]. % 1.00/1.27 exact (zenon_H2e4 zenon_H2ea). % 1.00/1.27 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2eb ]. % 1.00/1.27 exact (zenon_H2ec zenon_H2e5). % 1.00/1.27 exact (zenon_H2eb zenon_H2e6). % 1.00/1.27 (* end of lemma zenon_L802_ *) % 1.00/1.27 assert (zenon_L803_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(hskp16)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H11e zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H26a. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1de | zenon_intro zenon_H26d ]. % 1.00/1.27 apply (zenon_L802_); trivial. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H112 | zenon_intro zenon_H26b ]. % 1.00/1.27 apply (zenon_L71_); trivial. % 1.00/1.27 exact (zenon_H26a zenon_H26b). % 1.00/1.27 (* end of lemma zenon_L803_ *) % 1.00/1.27 assert (zenon_L804_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H100 zenon_H2d zenon_H97 zenon_Hf5 zenon_Hc0. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.00/1.27 apply (zenon_L412_); trivial. % 1.00/1.27 apply (zenon_L803_); trivial. % 1.00/1.27 (* end of lemma zenon_L804_ *) % 1.00/1.27 assert (zenon_L805_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp11)) -> False). % 1.00/1.27 do 0 intro. intros zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H15f zenon_H97. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f1 ]. % 1.00/1.27 apply (zenon_L802_); trivial. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H160 | zenon_intro zenon_H98 ]. % 1.00/1.27 exact (zenon_H15f zenon_H160). % 1.00/1.27 exact (zenon_H97 zenon_H98). % 1.00/1.27 (* end of lemma zenon_L805_ *) % 1.00/1.27 assert (zenon_L806_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.00/1.27 do 0 intro. intros zenon_H8f zenon_H74 zenon_H6d zenon_H173 zenon_H10d zenon_H90 zenon_H5c zenon_H1f0 zenon_H33 zenon_H35 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.00/1.27 apply (zenon_L804_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.00/1.27 apply (zenon_L18_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.00/1.27 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.27 apply (zenon_L805_); trivial. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.28 apply (zenon_L28_); trivial. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.28 apply (zenon_L22_); trivial. % 1.00/1.28 apply (zenon_L277_); trivial. % 1.00/1.28 (* end of lemma zenon_L806_ *) % 1.00/1.28 assert (zenon_L807_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5))))) -> (~(c1_1 (a110))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.00/1.28 do 0 intro. intros zenon_H6a zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H26 zenon_H25 zenon_H5f zenon_H24 zenon_H10 zenon_H68. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H3a | zenon_intro zenon_H6b ]. % 1.00/1.28 apply (zenon_L413_); trivial. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5e | zenon_intro zenon_H69 ]. % 1.00/1.28 apply (zenon_L23_); trivial. % 1.00/1.28 exact (zenon_H68 zenon_H69). % 1.00/1.28 (* end of lemma zenon_L807_ *) % 1.00/1.28 assert (zenon_L808_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.00/1.28 do 0 intro. intros zenon_H296 zenon_H6e zenon_H1 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H24 zenon_H25 zenon_H26 zenon_H68 zenon_H6a. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H5f | zenon_intro zenon_H2 ]. % 1.00/1.28 apply (zenon_L807_); trivial. % 1.00/1.28 exact (zenon_H1 zenon_H2). % 1.00/1.28 (* end of lemma zenon_L808_ *) % 1.00/1.28 assert (zenon_L809_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.00/1.28 do 0 intro. intros zenon_H8f zenon_H173 zenon_H10d zenon_H90 zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.00/1.28 apply (zenon_L805_); trivial. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.00/1.28 apply (zenon_L28_); trivial. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.00/1.28 apply (zenon_L413_); trivial. % 1.00/1.28 apply (zenon_L277_); trivial. % 1.00/1.28 (* end of lemma zenon_L809_ *) % 1.00/1.28 assert (zenon_L810_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> False). % 1.00/1.28 do 0 intro. intros zenon_H296 zenon_H94 zenon_H173 zenon_H10d zenon_H90 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_H26 zenon_H25 zenon_H24 zenon_Hd3. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.00/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.28 apply (zenon_L49_); trivial. % 1.00/1.28 apply (zenon_L809_); trivial. % 1.00/1.28 (* end of lemma zenon_L810_ *) % 1.00/1.28 assert (zenon_L811_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.00/1.28 do 0 intro. intros zenon_Hd5 zenon_H295 zenon_Hd3 zenon_H24 zenon_H25 zenon_H26 zenon_Hcf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_Haf zenon_H100 zenon_H97 zenon_Hf5 zenon_Hc0 zenon_H35 zenon_H33 zenon_H1f0 zenon_H5c zenon_H90 zenon_H10d zenon_H173 zenon_H6d zenon_H74 zenon_H94. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.28 apply (zenon_L49_); trivial. % 1.00/1.28 apply (zenon_L806_); trivial. % 1.00/1.28 apply (zenon_L810_); trivial. % 1.00/1.28 (* end of lemma zenon_L811_ *) % 1.00/1.28 assert (zenon_L812_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.00/1.28 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_Hd3 zenon_Hcf zenon_H94 zenon_H173 zenon_H10d zenon_H90 zenon_H1f0 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H8d zenon_H13a zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H35 zenon_H33 zenon_H6a zenon_H5c zenon_H1 zenon_H6e zenon_H6d zenon_H74 zenon_H295. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.00/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.00/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.00/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.00/1.28 apply (zenon_L27_); trivial. % 1.00/1.28 apply (zenon_L806_); trivial. % 1.00/1.28 apply (zenon_L808_); trivial. % 1.00/1.28 apply (zenon_L811_); trivial. % 1.00/1.28 (* end of lemma zenon_L812_ *) % 1.00/1.28 assert (zenon_L813_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp18)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(hskp1)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H11e zenon_H2ed zenon_H1ad zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H21e. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2ee ]. % 1.15/1.28 apply (zenon_L330_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1de | zenon_intro zenon_H21f ]. % 1.15/1.28 apply (zenon_L802_); trivial. % 1.15/1.28 exact (zenon_H21e zenon_H21f). % 1.15/1.28 (* end of lemma zenon_L813_ *) % 1.15/1.28 assert (zenon_L814_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H121 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L70_); trivial. % 1.15/1.28 apply (zenon_L813_); trivial. % 1.15/1.28 (* end of lemma zenon_L814_ *) % 1.15/1.28 assert (zenon_L815_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H173 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.28 apply (zenon_L805_); trivial. % 1.15/1.28 apply (zenon_L345_); trivial. % 1.15/1.28 (* end of lemma zenon_L815_ *) % 1.15/1.28 assert (zenon_L816_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(hskp1)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H1fc zenon_H2ed zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H21e. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2ee ]. % 1.15/1.28 apply (zenon_L184_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1de | zenon_intro zenon_H21f ]. % 1.15/1.28 apply (zenon_L802_); trivial. % 1.15/1.28 exact (zenon_H21e zenon_H21f). % 1.15/1.28 (* end of lemma zenon_L816_ *) % 1.15/1.28 assert (zenon_L817_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H201 zenon_H1f0 zenon_H97 zenon_H1ee zenon_H173 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H21e zenon_H2ed zenon_H121. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.28 apply (zenon_L814_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.28 apply (zenon_L815_); trivial. % 1.15/1.28 apply (zenon_L816_); trivial. % 1.15/1.28 (* end of lemma zenon_L817_ *) % 1.15/1.28 assert (zenon_L818_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H121 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1af zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_H173 zenon_H1ee zenon_H1f0 zenon_H201 zenon_H1c5 zenon_H6e zenon_H1 zenon_H24 zenon_H25 zenon_H26 zenon_H6a zenon_Hd zenon_Hd3 zenon_Hcf zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H22 zenon_Hd9. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.28 apply (zenon_L150_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_L56_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L49_); trivial. % 1.15/1.28 apply (zenon_L817_); trivial. % 1.15/1.28 apply (zenon_L75_); trivial. % 1.15/1.28 (* end of lemma zenon_L818_ *) % 1.15/1.28 assert (zenon_L819_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33)))))) -> (~(hskp10)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H299 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H54 zenon_H55 zenon_H53 zenon_H10 zenon_H38 zenon_H1b. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H1de | zenon_intro zenon_H29a ]. % 1.15/1.28 apply (zenon_L802_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H7f | zenon_intro zenon_H1c ]. % 1.15/1.28 apply (zenon_L310_); trivial. % 1.15/1.28 exact (zenon_H1b zenon_H1c). % 1.15/1.28 (* end of lemma zenon_L819_ *) % 1.15/1.28 assert (zenon_L820_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hd8 zenon_H74 zenon_H5c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1b zenon_H299 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L78_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H38 | zenon_intro zenon_H5d ]. % 1.15/1.28 apply (zenon_L819_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H48 | zenon_intro zenon_H52 ]. % 1.15/1.28 apply (zenon_L20_); trivial. % 1.15/1.28 apply (zenon_L21_); trivial. % 1.15/1.28 (* end of lemma zenon_L820_ *) % 1.15/1.28 assert (zenon_L821_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hd3 zenon_Hcf zenon_H2f zenon_H24 zenon_H25 zenon_H26 zenon_H1a2 zenon_H173. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L140_); trivial. % 1.15/1.28 apply (zenon_L803_); trivial. % 1.15/1.28 (* end of lemma zenon_L821_ *) % 1.15/1.28 assert (zenon_L822_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H18a zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H35 zenon_H33 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H188 zenon_Hc0 zenon_H6d. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L119_); trivial. % 1.15/1.28 apply (zenon_L803_); trivial. % 1.15/1.28 (* end of lemma zenon_L822_ *) % 1.15/1.28 assert (zenon_L823_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H2f zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.15/1.28 apply (zenon_L821_); trivial. % 1.15/1.28 apply (zenon_L822_); trivial. % 1.15/1.28 (* end of lemma zenon_L823_ *) % 1.15/1.28 assert (zenon_L824_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H8f zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Haf zenon_Hbf. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L228_); trivial. % 1.15/1.28 apply (zenon_L803_); trivial. % 1.15/1.28 (* end of lemma zenon_L824_ *) % 1.15/1.28 assert (zenon_L825_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H94 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hd3 zenon_Hcf zenon_H24 zenon_H25 zenon_H26 zenon_H1a2 zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L823_); trivial. % 1.15/1.28 apply (zenon_L824_); trivial. % 1.15/1.28 (* end of lemma zenon_L825_ *) % 1.15/1.28 assert (zenon_L826_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hc0 zenon_H27e zenon_H280 zenon_H27f zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.28 apply (zenon_L99_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.15/1.28 apply (zenon_L97_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.15/1.28 apply (zenon_L423_); trivial. % 1.15/1.28 exact (zenon_Hb zenon_Hc). % 1.15/1.28 (* end of lemma zenon_L826_ *) % 1.15/1.28 assert (zenon_L827_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L826_); trivial. % 1.15/1.28 apply (zenon_L112_); trivial. % 1.15/1.28 (* end of lemma zenon_L827_ *) % 1.15/1.28 assert (zenon_L828_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (ndr1_0) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0 zenon_H10 zenon_H24 zenon_H25 zenon_H26 zenon_H2f zenon_H31. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L16_); trivial. % 1.15/1.28 apply (zenon_L827_); trivial. % 1.15/1.28 (* end of lemma zenon_L828_ *) % 1.15/1.28 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H296 zenon_H94 zenon_Haf zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_Hc0 zenon_H68 zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H74. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L828_); trivial. % 1.15/1.28 apply (zenon_L44_); trivial. % 1.15/1.28 (* end of lemma zenon_L829_ *) % 1.15/1.28 assert (zenon_L830_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H22 zenon_H295 zenon_Hc1 zenon_H97 zenon_H99 zenon_H31 zenon_H11c zenon_H74 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H94 zenon_H1 zenon_Hb zenon_Hd. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_L7_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.28 apply (zenon_L825_); trivial. % 1.15/1.28 apply (zenon_L829_); trivial. % 1.15/1.28 (* end of lemma zenon_L830_ *) % 1.15/1.28 assert (zenon_L831_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hd9 zenon_Hd zenon_Hb zenon_H1 zenon_H94 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hd3 zenon_Hcf zenon_H24 zenon_H25 zenon_H26 zenon_H1a2 zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H74 zenon_H11c zenon_H31 zenon_H99 zenon_H97 zenon_Hc1 zenon_H295 zenon_H22. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_L830_); trivial. % 1.15/1.28 apply (zenon_L123_); trivial. % 1.15/1.28 (* end of lemma zenon_L831_ *) % 1.15/1.28 assert (zenon_L832_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hfa zenon_H27f zenon_H280 zenon_H27e zenon_H10 zenon_H102 zenon_H9 zenon_H95. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.15/1.28 apply (zenon_L422_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.15/1.28 exact (zenon_H9 zenon_Ha). % 1.15/1.28 exact (zenon_H95 zenon_H96). % 1.15/1.28 (* end of lemma zenon_L832_ *) % 1.15/1.28 assert (zenon_L833_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp28)) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp13)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H95 zenon_H9 zenon_H10 zenon_H27e zenon_H280 zenon_H27f zenon_Hfa zenon_Hb. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.15/1.28 apply (zenon_L97_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.15/1.28 apply (zenon_L832_); trivial. % 1.15/1.28 exact (zenon_Hb zenon_Hc). % 1.15/1.28 (* end of lemma zenon_L833_ *) % 1.15/1.28 assert (zenon_L834_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H14c zenon_H14d zenon_H14e zenon_Hfa zenon_H9 zenon_H27f zenon_H280 zenon_H27e zenon_Hb zenon_H155. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.28 apply (zenon_L833_); trivial. % 1.15/1.28 apply (zenon_L72_); trivial. % 1.15/1.28 (* end of lemma zenon_L834_ *) % 1.15/1.28 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L826_); trivial. % 1.15/1.28 apply (zenon_L834_); trivial. % 1.15/1.28 (* end of lemma zenon_L835_ *) % 1.15/1.28 assert (zenon_L836_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L78_); trivial. % 1.15/1.28 apply (zenon_L835_); trivial. % 1.15/1.28 (* end of lemma zenon_L836_ *) % 1.15/1.28 assert (zenon_L837_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L78_); trivial. % 1.15/1.28 apply (zenon_L827_); trivial. % 1.15/1.28 (* end of lemma zenon_L837_ *) % 1.15/1.28 assert (zenon_L838_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H1d zenon_H295 zenon_H74 zenon_H18d zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H35 zenon_H33 zenon_H6a zenon_H68 zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Haf zenon_H1a2 zenon_H94. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L78_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.15/1.28 apply (zenon_L113_); trivial. % 1.15/1.28 apply (zenon_L822_); trivial. % 1.15/1.28 apply (zenon_L824_); trivial. % 1.15/1.28 apply (zenon_L837_); trivial. % 1.15/1.28 (* end of lemma zenon_L838_ *) % 1.15/1.28 assert (zenon_L839_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.28 apply (zenon_L99_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.15/1.28 apply (zenon_L97_); trivial. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.15/1.28 apply (zenon_L604_); trivial. % 1.15/1.28 exact (zenon_Hb zenon_Hc). % 1.15/1.28 (* end of lemma zenon_L839_ *) % 1.15/1.28 assert (zenon_L840_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hdf zenon_Hde zenon_Hdd zenon_Hc0. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L839_); trivial. % 1.15/1.28 apply (zenon_L803_); trivial. % 1.15/1.28 (* end of lemma zenon_L840_ *) % 1.15/1.28 assert (zenon_L841_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.28 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.28 apply (zenon_L78_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.28 apply (zenon_L826_); trivial. % 1.15/1.28 apply (zenon_L73_); trivial. % 1.15/1.28 (* end of lemma zenon_L841_ *) % 1.15/1.28 assert (zenon_L842_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H295 zenon_H74 zenon_Hbf zenon_H11c zenon_H9 zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.28 apply (zenon_L840_); trivial. % 1.15/1.28 apply (zenon_L841_); trivial. % 1.15/1.28 (* end of lemma zenon_L842_ *) % 1.15/1.28 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H1d zenon_H94 zenon_H121 zenon_H11c zenon_H111 zenon_H10d zenon_H13c zenon_H146 zenon_Haf zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H6a zenon_H68 zenon_Hdf zenon_Hde zenon_Hdd zenon_H5c zenon_H54 zenon_H55 zenon_H53 zenon_Hd3 zenon_H74. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L738_); trivial. % 1.15/1.28 apply (zenon_L92_); trivial. % 1.15/1.28 (* end of lemma zenon_L843_ *) % 1.15/1.28 assert (zenon_L844_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_Hcf zenon_H74 zenon_Hbf zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_Hdd zenon_Hde zenon_Hdf zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hd3 zenon_H6a zenon_H24 zenon_H25 zenon_H26 zenon_H31 zenon_Hc0 zenon_H100 zenon_Haf zenon_H146 zenon_H13c zenon_H10d zenon_H111 zenon_H121 zenon_H94 zenon_H22. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_L256_); trivial. % 1.15/1.28 apply (zenon_L843_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_L256_); trivial. % 1.15/1.28 apply (zenon_L93_); trivial. % 1.15/1.28 (* end of lemma zenon_L844_ *) % 1.15/1.28 assert (zenon_L845_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H5c zenon_H22 zenon_H94 zenon_H10d zenon_H146 zenon_Haf zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H13c zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_Hc0 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295 zenon_Hcf zenon_Hd3 zenon_Hd9. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_L842_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.28 apply (zenon_L840_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L828_); trivial. % 1.15/1.28 apply (zenon_L92_); trivial. % 1.15/1.28 apply (zenon_L94_); trivial. % 1.15/1.28 apply (zenon_L844_); trivial. % 1.15/1.28 (* end of lemma zenon_L845_ *) % 1.15/1.28 assert (zenon_L846_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H148 zenon_H126 zenon_H10d zenon_H146 zenon_H31 zenon_Hd9 zenon_H90 zenon_H295 zenon_H74 zenon_H11c zenon_Hfa zenon_H127 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_Hcf zenon_Hd3 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H94 zenon_H22 zenon_H13a zenon_H5c zenon_Hdc. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.28 apply (zenon_L825_); trivial. % 1.15/1.28 apply (zenon_L836_); trivial. % 1.15/1.28 apply (zenon_L838_); trivial. % 1.15/1.28 apply (zenon_L51_); trivial. % 1.15/1.28 apply (zenon_L80_); trivial. % 1.15/1.28 apply (zenon_L845_); trivial. % 1.15/1.28 (* end of lemma zenon_L846_ *) % 1.15/1.28 assert (zenon_L847_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H8f zenon_H173 zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_Haf zenon_H1a2 zenon_H26 zenon_H25 zenon_H24 zenon_H1 zenon_H6e zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.28 apply (zenon_L805_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.15/1.28 apply (zenon_L170_); trivial. % 1.15/1.28 apply (zenon_L410_); trivial. % 1.15/1.28 (* end of lemma zenon_L847_ *) % 1.15/1.28 assert (zenon_L848_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp19)\/(hskp17))) -> (c2_1 (a110)) -> (~(c3_1 (a110))) -> (~(c1_1 (a110))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_Hd8 zenon_H94 zenon_H173 zenon_H111 zenon_H13a zenon_H8d zenon_Haf zenon_H1a2 zenon_H1 zenon_H6e zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H31 zenon_H26 zenon_H25 zenon_H24 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.28 apply (zenon_L146_); trivial. % 1.15/1.28 apply (zenon_L847_); trivial. % 1.15/1.28 (* end of lemma zenon_L848_ *) % 1.15/1.28 assert (zenon_L849_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H21e zenon_H2ed zenon_H121. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.28 apply (zenon_L814_); trivial. % 1.15/1.28 apply (zenon_L161_); trivial. % 1.15/1.28 (* end of lemma zenon_L849_ *) % 1.15/1.28 assert (zenon_L850_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/(hskp5)) -> (~(hskp5)) -> (~(c1_1 (a110))) -> (~(c3_1 (a110))) -> (c2_1 (a110)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c3_1 X6)\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.15/1.28 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H121 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1af zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H1c5 zenon_H6e zenon_H1 zenon_H24 zenon_H25 zenon_H26 zenon_H6a zenon_Hd zenon_Hd3 zenon_Hcf zenon_H99 zenon_H97 zenon_Hc1 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H22 zenon_Hd9. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.28 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.28 apply (zenon_L150_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.28 apply (zenon_L56_); trivial. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.28 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L49_); trivial. % 1.15/1.29 apply (zenon_L849_); trivial. % 1.15/1.29 apply (zenon_L75_); trivial. % 1.15/1.29 (* end of lemma zenon_L850_ *) % 1.15/1.29 assert (zenon_L851_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L216_); trivial. % 1.15/1.29 apply (zenon_L803_); trivial. % 1.15/1.29 (* end of lemma zenon_L851_ *) % 1.15/1.29 assert (zenon_L852_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a167)) -> (~(c2_1 (a167))) -> (~(c0_1 (a167))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H1e6 zenon_H3c zenon_H3b zenon_H39 zenon_H27f zenon_H280 zenon_H27e zenon_H3a zenon_H10 zenon_H33. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H38 | zenon_intro zenon_H1e7 ]. % 1.15/1.29 apply (zenon_L19_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H102 | zenon_intro zenon_H34 ]. % 1.15/1.29 apply (zenon_L422_); trivial. % 1.15/1.29 exact (zenon_H33 zenon_H34). % 1.15/1.29 (* end of lemma zenon_L852_ *) % 1.15/1.29 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp12)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H174 zenon_H10d zenon_H33 zenon_H27e zenon_H280 zenon_H27f zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_H90 zenon_H78 zenon_H77 zenon_H76 zenon_H8d. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.29 apply (zenon_L28_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.29 apply (zenon_L852_); trivial. % 1.15/1.29 apply (zenon_L277_); trivial. % 1.15/1.29 (* end of lemma zenon_L853_ *) % 1.15/1.29 assert (zenon_L854_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H8f zenon_H6d zenon_H173 zenon_H10d zenon_H8d zenon_H90 zenon_H27e zenon_H280 zenon_H27f zenon_H1e6 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H33 zenon_H35. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.29 apply (zenon_L18_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.29 apply (zenon_L805_); trivial. % 1.15/1.29 apply (zenon_L853_); trivial. % 1.15/1.29 (* end of lemma zenon_L854_ *) % 1.15/1.29 assert (zenon_L855_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H296 zenon_H94 zenon_H6d zenon_H173 zenon_H10d zenon_H8d zenon_H90 zenon_H1e6 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H33 zenon_H35 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L197_); trivial. % 1.15/1.29 apply (zenon_L854_); trivial. % 1.15/1.29 (* end of lemma zenon_L855_ *) % 1.15/1.29 assert (zenon_L856_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H295 zenon_H94 zenon_H6d zenon_H173 zenon_H10d zenon_H8d zenon_H90 zenon_H1e6 zenon_H1f0 zenon_H33 zenon_H35 zenon_H214 zenon_H3 zenon_H97 zenon_H212 zenon_H123 zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.29 apply (zenon_L851_); trivial. % 1.15/1.29 apply (zenon_L855_); trivial. % 1.15/1.29 (* end of lemma zenon_L856_ *) % 1.15/1.29 assert (zenon_L857_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H173 zenon_H10d zenon_H12 zenon_H13 zenon_H14 zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H78 zenon_H77 zenon_H76 zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.29 apply (zenon_L805_); trivial. % 1.15/1.29 apply (zenon_L316_); trivial. % 1.15/1.29 (* end of lemma zenon_L857_ *) % 1.15/1.29 assert (zenon_L858_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H8f zenon_H201 zenon_H2ed zenon_H21e zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H10d zenon_H173. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.29 apply (zenon_L857_); trivial. % 1.15/1.29 apply (zenon_L816_); trivial. % 1.15/1.29 (* end of lemma zenon_L858_ *) % 1.15/1.29 assert (zenon_L859_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H122 zenon_H22 zenon_H201 zenon_H2ed zenon_H21e zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1ee zenon_H173 zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.29 apply (zenon_L236_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L197_); trivial. % 1.15/1.29 apply (zenon_L858_); trivial. % 1.15/1.29 (* end of lemma zenon_L859_ *) % 1.15/1.29 assert (zenon_L860_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hfa zenon_H33 zenon_H10 zenon_H27e zenon_H280 zenon_H27f zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_H9 zenon_H95. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.15/1.29 apply (zenon_L852_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.15/1.29 exact (zenon_H9 zenon_Ha). % 1.15/1.29 exact (zenon_H95 zenon_H96). % 1.15/1.29 (* end of lemma zenon_L860_ *) % 1.15/1.29 assert (zenon_L861_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H11e zenon_H6d zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H1e6 zenon_H27f zenon_H280 zenon_H27e zenon_H9 zenon_Hfa zenon_H33 zenon_H35. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.29 apply (zenon_L18_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_L860_); trivial. % 1.15/1.29 apply (zenon_L72_); trivial. % 1.15/1.29 (* end of lemma zenon_L861_ *) % 1.15/1.29 assert (zenon_L862_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H6c zenon_H121 zenon_H6d zenon_Hbf zenon_H11c zenon_H1e6 zenon_H27f zenon_H280 zenon_H27e zenon_H9 zenon_Hfa zenon_H33 zenon_H35 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L216_); trivial. % 1.15/1.29 apply (zenon_L861_); trivial. % 1.15/1.29 (* end of lemma zenon_L862_ *) % 1.15/1.29 assert (zenon_L863_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_H6d zenon_Hbf zenon_H11c zenon_H1e6 zenon_H9 zenon_Hfa zenon_H33 zenon_H35 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.29 apply (zenon_L78_); trivial. % 1.15/1.29 apply (zenon_L862_); trivial. % 1.15/1.29 (* end of lemma zenon_L863_ *) % 1.15/1.29 assert (zenon_L864_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H8f zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.29 apply (zenon_L805_); trivial. % 1.15/1.29 apply (zenon_L710_); trivial. % 1.15/1.29 (* end of lemma zenon_L864_ *) % 1.15/1.29 assert (zenon_L865_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hdc zenon_H13a zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H8d zenon_H90 zenon_H173 zenon_H94. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L197_); trivial. % 1.15/1.29 apply (zenon_L864_); trivial. % 1.15/1.29 apply (zenon_L233_); trivial. % 1.15/1.29 (* end of lemma zenon_L865_ *) % 1.15/1.29 assert (zenon_L866_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2ed zenon_H21e zenon_H1ee zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94 zenon_H173 zenon_H90 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123 zenon_H13a zenon_Hdc. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.29 apply (zenon_L865_); trivial. % 1.15/1.29 apply (zenon_L859_); trivial. % 1.15/1.29 (* end of lemma zenon_L866_ *) % 1.15/1.29 assert (zenon_L867_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L110_); trivial. % 1.15/1.29 apply (zenon_L803_); trivial. % 1.15/1.29 (* end of lemma zenon_L867_ *) % 1.15/1.29 assert (zenon_L868_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.15/1.29 apply (zenon_L867_); trivial. % 1.15/1.29 apply (zenon_L822_); trivial. % 1.15/1.29 apply (zenon_L824_); trivial. % 1.15/1.29 (* end of lemma zenon_L868_ *) % 1.15/1.29 assert (zenon_L869_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H22 zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_H74 zenon_H295. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.29 apply (zenon_L868_); trivial. % 1.15/1.29 apply (zenon_L836_); trivial. % 1.15/1.29 apply (zenon_L838_); trivial. % 1.15/1.29 (* end of lemma zenon_L869_ *) % 1.15/1.29 assert (zenon_L870_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L248_); trivial. % 1.15/1.29 apply (zenon_L803_); trivial. % 1.15/1.29 apply (zenon_L824_); trivial. % 1.15/1.29 (* end of lemma zenon_L870_ *) % 1.15/1.29 assert (zenon_L871_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H27f zenon_H280 zenon_H27e zenon_H3a zenon_H10 zenon_Hb. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H156 ]. % 1.15/1.29 apply (zenon_L97_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H102 | zenon_intro zenon_Hc ]. % 1.15/1.29 apply (zenon_L422_); trivial. % 1.15/1.29 exact (zenon_Hb zenon_Hc). % 1.15/1.29 (* end of lemma zenon_L871_ *) % 1.15/1.29 assert (zenon_L872_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp13)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_Hb zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_Hfa zenon_H27f zenon_H280 zenon_H27e zenon_H10 zenon_H9 zenon_H95. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.29 apply (zenon_L28_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.29 apply (zenon_L871_); trivial. % 1.15/1.29 apply (zenon_L832_); trivial. % 1.15/1.29 (* end of lemma zenon_L872_ *) % 1.15/1.29 assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H10d zenon_H9 zenon_Hfa zenon_H14c zenon_H14d zenon_H14e zenon_H27e zenon_H280 zenon_H27f zenon_Hb zenon_H155 zenon_H78 zenon_H77 zenon_H76 zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_L872_); trivial. % 1.15/1.29 apply (zenon_L227_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_L872_); trivial. % 1.15/1.29 apply (zenon_L72_); trivial. % 1.15/1.29 (* end of lemma zenon_L873_ *) % 1.15/1.29 assert (zenon_L874_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H10d zenon_H9 zenon_Hfa zenon_H14c zenon_H14d zenon_H14e zenon_H27e zenon_H280 zenon_H27f zenon_Hb zenon_H155 zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.29 apply (zenon_L78_); trivial. % 1.15/1.29 apply (zenon_L873_); trivial. % 1.15/1.29 (* end of lemma zenon_L874_ *) % 1.15/1.29 assert (zenon_L875_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H296 zenon_H94 zenon_H10d zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hc0 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H9 zenon_Hfa zenon_H11c zenon_Hbf zenon_H121 zenon_H74. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.29 apply (zenon_L78_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L248_); trivial. % 1.15/1.29 apply (zenon_L834_); trivial. % 1.15/1.29 apply (zenon_L874_); trivial. % 1.15/1.29 (* end of lemma zenon_L875_ *) % 1.15/1.29 assert (zenon_L876_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H295 zenon_H10d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H9 zenon_Hfa zenon_H11c zenon_H74 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hc0 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.29 apply (zenon_L870_); trivial. % 1.15/1.29 apply (zenon_L875_); trivial. % 1.15/1.29 (* end of lemma zenon_L876_ *) % 1.15/1.29 assert (zenon_L877_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (~(c2_1 (a112))) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H111 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H11c zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H12a zenon_H128 zenon_H129 zenon_H2f zenon_H212 zenon_H4b zenon_H4a zenon_H49 zenon_H14d zenon_H14e zenon_H14c zenon_H178 zenon_H179 zenon_H17a zenon_H188 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.15/1.29 apply (zenon_L84_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2ee ]. % 1.15/1.29 apply (zenon_L630_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1de | zenon_intro zenon_H21f ]. % 1.15/1.29 apply (zenon_L802_); trivial. % 1.15/1.29 exact (zenon_H21e zenon_H21f). % 1.15/1.29 (* end of lemma zenon_L877_ *) % 1.15/1.29 assert (zenon_L878_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H18a zenon_H121 zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H188 zenon_H14c zenon_H14e zenon_H14d zenon_H49 zenon_H4a zenon_H4b zenon_H212 zenon_H2f zenon_H129 zenon_H128 zenon_H12a zenon_H23c zenon_H11c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2ed zenon_H111 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L216_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_L877_); trivial. % 1.15/1.29 apply (zenon_L72_); trivial. % 1.15/1.29 (* end of lemma zenon_L878_ *) % 1.15/1.29 assert (zenon_L879_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H146 zenon_H163 zenon_H173 zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H2ed zenon_H23c zenon_H212 zenon_H188 zenon_H18d zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_Hc0 zenon_Hcf zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H74 zenon_H11c zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H10d zenon_H295. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.29 apply (zenon_L876_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.29 apply (zenon_L78_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.15/1.29 apply (zenon_L113_); trivial. % 1.15/1.29 apply (zenon_L878_); trivial. % 1.15/1.29 apply (zenon_L127_); trivial. % 1.15/1.29 (* end of lemma zenon_L879_ *) % 1.15/1.29 assert (zenon_L880_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hd9 zenon_H146 zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H2ed zenon_H23c zenon_H212 zenon_H10d zenon_H295 zenon_H74 zenon_H11c zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_H22. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.29 apply (zenon_L869_); trivial. % 1.15/1.29 apply (zenon_L879_); trivial. % 1.15/1.29 (* end of lemma zenon_L880_ *) % 1.15/1.29 assert (zenon_L881_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hdc zenon_H13a zenon_H8d zenon_H22 zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_H74 zenon_H295 zenon_H10d zenon_H212 zenon_H23c zenon_H2ed zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H146 zenon_Hd9. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.29 apply (zenon_L880_); trivial. % 1.15/1.29 apply (zenon_L233_); trivial. % 1.15/1.29 (* end of lemma zenon_L881_ *) % 1.15/1.29 assert (zenon_L882_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> (~(c2_1 (a112))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H49 zenon_H4a zenon_H4b zenon_H212 zenon_H2f zenon_H129 zenon_H128 zenon_H12a zenon_H23c zenon_H11c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H21e zenon_H2ed zenon_H111. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.15/1.29 apply (zenon_L84_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2ee ]. % 1.15/1.29 apply (zenon_L263_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1de | zenon_intro zenon_H21f ]. % 1.15/1.29 apply (zenon_L802_); trivial. % 1.15/1.29 exact (zenon_H21e zenon_H21f). % 1.15/1.29 apply (zenon_L72_); trivial. % 1.15/1.29 (* end of lemma zenon_L882_ *) % 1.15/1.29 assert (zenon_L883_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H74 zenon_H121 zenon_Hbf zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H212 zenon_H2f zenon_H23c zenon_H11c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2ed zenon_H111 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H10 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.29 apply (zenon_L78_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L216_); trivial. % 1.15/1.29 apply (zenon_L882_); trivial. % 1.15/1.29 (* end of lemma zenon_L883_ *) % 1.15/1.29 assert (zenon_L884_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H22 zenon_H94 zenon_H146 zenon_Haf zenon_H13c zenon_H163 zenon_Hcf zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hc0 zenon_H68 zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.29 apply (zenon_L851_); trivial. % 1.15/1.29 apply (zenon_L836_); trivial. % 1.15/1.29 apply (zenon_L165_); trivial. % 1.15/1.29 (* end of lemma zenon_L884_ *) % 1.15/1.29 assert (zenon_L885_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H5c zenon_H22 zenon_H94 zenon_H146 zenon_Haf zenon_H13c zenon_H163 zenon_Hcf zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H209 zenon_H20a zenon_H20b zenon_H21e zenon_H220 zenon_H127 zenon_Hc0 zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295 zenon_H10d zenon_H1a2 zenon_H212 zenon_H23c zenon_H2ed zenon_Hd9. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.29 apply (zenon_L884_); trivial. % 1.15/1.29 apply (zenon_L879_); trivial. % 1.15/1.29 apply (zenon_L166_); trivial. % 1.15/1.29 (* end of lemma zenon_L885_ *) % 1.15/1.29 assert (zenon_L886_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H94 zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H220 zenon_H21e zenon_Haf zenon_H13c zenon_H146 zenon_H100 zenon_Hc0 zenon_Hbf zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L272_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L364_); trivial. % 1.15/1.29 apply (zenon_L803_); trivial. % 1.15/1.29 (* end of lemma zenon_L886_ *) % 1.15/1.29 assert (zenon_L887_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H146 zenon_H14 zenon_H12 zenon_H13 zenon_H104 zenon_H105 zenon_H1f2 zenon_H113 zenon_H115 zenon_H114 zenon_H23c zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H3a zenon_H10 zenon_H27e zenon_H27f zenon_H280. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H75 | zenon_intro zenon_H147 ]. % 1.15/1.29 apply (zenon_L28_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H9c | zenon_intro zenon_H132 ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.15/1.29 apply (zenon_L28_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.15/1.29 apply (zenon_L38_); trivial. % 1.15/1.29 apply (zenon_L260_); trivial. % 1.15/1.29 apply (zenon_L301_); trivial. % 1.15/1.29 (* end of lemma zenon_L887_ *) % 1.15/1.29 assert (zenon_L888_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c3_1 (a117)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (ndr1_0) -> (c0_1 (a141)) -> (c1_1 (a141)) -> (c3_1 (a141)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H10d zenon_H280 zenon_H27f zenon_H27e zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_H1f2 zenon_H13 zenon_H12 zenon_H14 zenon_H146 zenon_H10 zenon_H103 zenon_H104 zenon_H105. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.29 apply (zenon_L28_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.29 apply (zenon_L887_); trivial. % 1.15/1.29 apply (zenon_L68_); trivial. % 1.15/1.29 (* end of lemma zenon_L888_ *) % 1.15/1.29 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a117)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (~(c1_1 (a163))) -> (~(c3_1 (a163))) -> (~(c2_1 (a163))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(hskp1)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H10c zenon_H2ed zenon_H146 zenon_H14 zenon_H12 zenon_H13 zenon_H113 zenon_H115 zenon_H114 zenon_H23c zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_H27e zenon_H27f zenon_H280 zenon_H10d zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H21e. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H2ee ]. % 1.15/1.29 apply (zenon_L888_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1de | zenon_intro zenon_H21f ]. % 1.15/1.29 apply (zenon_L802_); trivial. % 1.15/1.29 exact (zenon_H21e zenon_H21f). % 1.15/1.29 (* end of lemma zenon_L889_ *) % 1.15/1.29 assert (zenon_L890_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a163))) -> (~(c3_1 (a163))) -> (~(c1_1 (a163))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(hskp28)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H111 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H76 zenon_H77 zenon_H78 zenon_H146 zenon_H280 zenon_H27f zenon_H27e zenon_H23c zenon_H114 zenon_H115 zenon_H113 zenon_Haf zenon_H10d zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H95 zenon_H13c. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.15/1.29 apply (zenon_L84_); trivial. % 1.15/1.29 apply (zenon_L889_); trivial. % 1.15/1.29 (* end of lemma zenon_L890_ *) % 1.15/1.29 assert (zenon_L891_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_Hd9 zenon_Hd zenon_Hb zenon_H1 zenon_H94 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H220 zenon_H21e zenon_Haf zenon_H13c zenon_H146 zenon_H100 zenon_Hc0 zenon_Hbf zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H6a zenon_H10d zenon_H2ed zenon_H23c zenon_H1f0 zenon_H97 zenon_H90 zenon_H8d zenon_H173 zenon_H295 zenon_H22. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.29 apply (zenon_L7_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.29 apply (zenon_L886_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.29 apply (zenon_L272_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_L424_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.29 apply (zenon_L890_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.15/1.29 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.29 apply (zenon_L805_); trivial. % 1.15/1.29 apply (zenon_L409_); trivial. % 1.15/1.29 apply (zenon_L308_); trivial. % 1.15/1.29 (* end of lemma zenon_L891_ *) % 1.15/1.29 assert (zenon_L892_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))) -> (ndr1_0) -> (c1_1 (a141)) -> (c3_1 (a141)) -> (c0_1 (a141)) -> False). % 1.15/1.29 do 0 intro. intros zenon_Haf zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H132 zenon_H10 zenon_H104 zenon_H105 zenon_H103. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.15/1.29 apply (zenon_L307_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.15/1.29 apply (zenon_L86_); trivial. % 1.15/1.29 apply (zenon_L362_); trivial. % 1.15/1.29 (* end of lemma zenon_L892_ *) % 1.15/1.29 assert (zenon_L893_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp12)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H10c zenon_H13a zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H2f zenon_Haf zenon_H55 zenon_H54 zenon_H53 zenon_H8d. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H132 | zenon_intro zenon_H13b ]. % 1.15/1.29 apply (zenon_L892_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H52 | zenon_intro zenon_H8e ]. % 1.15/1.29 apply (zenon_L21_); trivial. % 1.15/1.29 exact (zenon_H8d zenon_H8e). % 1.15/1.29 (* end of lemma zenon_L893_ *) % 1.15/1.29 assert (zenon_L894_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_Hb1 zenon_Hfe zenon_H100. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.15/1.29 apply (zenon_L67_); trivial. % 1.15/1.29 apply (zenon_L893_); trivial. % 1.15/1.29 (* end of lemma zenon_L894_ *) % 1.15/1.29 assert (zenon_L895_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_H100 zenon_H2d zenon_H97 zenon_Hf5 zenon_Hc0. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.29 apply (zenon_L894_); trivial. % 1.15/1.29 apply (zenon_L62_); trivial. % 1.15/1.29 apply (zenon_L803_); trivial. % 1.15/1.29 (* end of lemma zenon_L895_ *) % 1.15/1.29 assert (zenon_L896_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a128)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.15/1.29 do 0 intro. intros zenon_H90 zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H16e zenon_H166 zenon_H165 zenon_H102 zenon_H10 zenon_H8d. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.15/1.29 apply (zenon_L307_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.15/1.29 apply (zenon_L107_); trivial. % 1.15/1.29 exact (zenon_H8d zenon_H8e). % 1.15/1.29 (* end of lemma zenon_L896_ *) % 1.15/1.29 assert (zenon_L897_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.15/1.29 do 0 intro. intros zenon_H173 zenon_H10d zenon_H90 zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.29 apply (zenon_L805_); trivial. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.29 apply (zenon_L307_); trivial. % 1.15/1.29 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.29 apply (zenon_L413_); trivial. % 1.15/1.29 apply (zenon_L896_); trivial. % 1.15/1.29 (* end of lemma zenon_L897_ *) % 1.15/1.29 assert (zenon_L898_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H296 zenon_H94 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H90 zenon_H10d zenon_H173. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L897_); trivial. % 1.15/1.30 apply (zenon_L809_); trivial. % 1.15/1.30 (* end of lemma zenon_L898_ *) % 1.15/1.30 assert (zenon_L899_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hd8 zenon_H295 zenon_H74 zenon_H6d zenon_H173 zenon_H10d zenon_H90 zenon_H5c zenon_H1f0 zenon_H33 zenon_H35 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H8d zenon_H13a zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H94. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L895_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.30 apply (zenon_L805_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L22_); trivial. % 1.15/1.30 apply (zenon_L896_); trivial. % 1.15/1.30 apply (zenon_L806_); trivial. % 1.15/1.30 apply (zenon_L898_); trivial. % 1.15/1.30 (* end of lemma zenon_L899_ *) % 1.15/1.30 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1d zenon_H94 zenon_H201 zenon_H2ed zenon_H21e zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L272_); trivial. % 1.15/1.30 apply (zenon_L858_); trivial. % 1.15/1.30 (* end of lemma zenon_L900_ *) % 1.15/1.30 assert (zenon_L901_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H22 zenon_H94 zenon_H201 zenon_H2ed zenon_H21e zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hb zenon_Hd. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.30 apply (zenon_L7_); trivial. % 1.15/1.30 apply (zenon_L900_); trivial. % 1.15/1.30 (* end of lemma zenon_L901_ *) % 1.15/1.30 assert (zenon_L902_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L329_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 (* end of lemma zenon_L902_ *) % 1.15/1.30 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1c2 zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H35 zenon_H33 zenon_Hc0 zenon_H188 zenon_H1a2 zenon_H13c zenon_H100 zenon_H76 zenon_H77 zenon_H78 zenon_H1e6 zenon_H10d zenon_H111 zenon_Haf zenon_Hbf zenon_H6d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L352_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 (* end of lemma zenon_L903_ *) % 1.15/1.30 assert (zenon_L904_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H26c zenon_H26a zenon_H35 zenon_H33 zenon_H188 zenon_H1a2 zenon_H13c zenon_H1e6 zenon_H6d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H21e zenon_H2ed zenon_H121. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.30 apply (zenon_L814_); trivial. % 1.15/1.30 apply (zenon_L903_); trivial. % 1.15/1.30 (* end of lemma zenon_L904_ *) % 1.15/1.30 assert (zenon_L905_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H94 zenon_H1c5 zenon_H35 zenon_H33 zenon_H188 zenon_H1a2 zenon_H13c zenon_H1e6 zenon_H6d zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H21e zenon_H2ed zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L902_); trivial. % 1.15/1.30 apply (zenon_L904_); trivial. % 1.15/1.30 (* end of lemma zenon_L905_ *) % 1.15/1.30 assert (zenon_L906_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H121 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L329_); trivial. % 1.15/1.30 apply (zenon_L813_); trivial. % 1.15/1.30 (* end of lemma zenon_L906_ *) % 1.15/1.30 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp8)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp22)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H174 zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H33 zenon_H27e zenon_H280 zenon_H27f zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H1ec. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L852_); trivial. % 1.15/1.30 apply (zenon_L181_); trivial. % 1.15/1.30 (* end of lemma zenon_L907_ *) % 1.15/1.30 assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1c2 zenon_H201 zenon_H2ed zenon_H21e zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_H27f zenon_H280 zenon_H27e zenon_H1ee zenon_H10d zenon_H173 zenon_H6d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.30 apply (zenon_L805_); trivial. % 1.15/1.30 apply (zenon_L907_); trivial. % 1.15/1.30 apply (zenon_L816_); trivial. % 1.15/1.30 (* end of lemma zenon_L908_ *) % 1.15/1.30 assert (zenon_L909_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1c5 zenon_H201 zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H1e6 zenon_H27f zenon_H280 zenon_H27e zenon_H1ee zenon_H173 zenon_H6d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H21e zenon_H2ed zenon_H121. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.30 apply (zenon_L906_); trivial. % 1.15/1.30 apply (zenon_L908_); trivial. % 1.15/1.30 (* end of lemma zenon_L909_ *) % 1.15/1.30 assert (zenon_L910_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_H35 zenon_H33 zenon_H188 zenon_H1a2 zenon_H13c zenon_H1e6 zenon_H6d zenon_H1af zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H26c zenon_H121 zenon_H295 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H21e zenon_H2ed zenon_H201 zenon_H94 zenon_H22. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_L901_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_L905_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L909_); trivial. % 1.15/1.30 apply (zenon_L817_); trivial. % 1.15/1.30 apply (zenon_L900_); trivial. % 1.15/1.30 (* end of lemma zenon_L910_ *) % 1.15/1.30 assert (zenon_L911_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_Haf zenon_H23c zenon_H146 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2ed zenon_H111 zenon_H10d zenon_H27e zenon_H27f zenon_H280 zenon_H21e zenon_H220 zenon_H78 zenon_H77 zenon_H76 zenon_H100 zenon_H6a zenon_H68 zenon_Hc0. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L424_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L890_); trivial. % 1.15/1.30 apply (zenon_L72_); trivial. % 1.15/1.30 (* end of lemma zenon_L911_ *) % 1.15/1.30 assert (zenon_L912_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H296 zenon_H94 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2ed zenon_H111 zenon_H10d zenon_H21e zenon_H220 zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L272_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L78_); trivial. % 1.15/1.30 apply (zenon_L911_); trivial. % 1.15/1.30 (* end of lemma zenon_L912_ *) % 1.15/1.30 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1d zenon_H295 zenon_H74 zenon_H11c zenon_H23c zenon_H2ed zenon_H10d zenon_H6a zenon_H68 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H146 zenon_H13c zenon_Haf zenon_H21e zenon_H220 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H94. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_L886_); trivial. % 1.15/1.30 apply (zenon_L912_); trivial. % 1.15/1.30 (* end of lemma zenon_L913_ *) % 1.15/1.30 assert (zenon_L914_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(hskp10)) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hd5 zenon_H299 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1b. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H1de | zenon_intro zenon_H29a ]. % 1.15/1.30 apply (zenon_L802_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H7f | zenon_intro zenon_H1c ]. % 1.15/1.30 apply (zenon_L45_); trivial. % 1.15/1.30 exact (zenon_H1b zenon_H1c). % 1.15/1.30 (* end of lemma zenon_L914_ *) % 1.15/1.30 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp13)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp12)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H174 zenon_H90 zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hb zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H8d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H75 | zenon_intro zenon_H93 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H7f | zenon_intro zenon_H8e ]. % 1.15/1.30 apply (zenon_L138_); trivial. % 1.15/1.30 exact (zenon_H8d zenon_H8e). % 1.15/1.30 (* end of lemma zenon_L915_ *) % 1.15/1.30 assert (zenon_L916_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H94 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H8d zenon_H90 zenon_H173. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.30 apply (zenon_L805_); trivial. % 1.15/1.30 apply (zenon_L915_); trivial. % 1.15/1.30 apply (zenon_L864_); trivial. % 1.15/1.30 (* end of lemma zenon_L916_ *) % 1.15/1.30 assert (zenon_L917_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hdc zenon_H295 zenon_H74 zenon_H6d zenon_H10d zenon_H5c zenon_H33 zenon_H35 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Haf zenon_H13a zenon_H111 zenon_H26c zenon_H121 zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H94. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_L916_); trivial. % 1.15/1.30 apply (zenon_L899_); trivial. % 1.15/1.30 (* end of lemma zenon_L917_ *) % 1.15/1.30 assert (zenon_L918_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp13)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hb zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_Hfa zenon_H27f zenon_H280 zenon_H27e zenon_H10 zenon_H9 zenon_H95. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L871_); trivial. % 1.15/1.30 apply (zenon_L832_); trivial. % 1.15/1.30 (* end of lemma zenon_L918_ *) % 1.15/1.30 assert (zenon_L919_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H10d zenon_H9 zenon_Hfa zenon_H14c zenon_H14d zenon_H14e zenon_H27e zenon_H280 zenon_H27f zenon_Hb zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L918_); trivial. % 1.15/1.30 apply (zenon_L461_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L918_); trivial. % 1.15/1.30 apply (zenon_L72_); trivial. % 1.15/1.30 (* end of lemma zenon_L919_ *) % 1.15/1.30 assert (zenon_L920_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H148 zenon_H126 zenon_H22 zenon_H146 zenon_H94 zenon_Hbf zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H74 zenon_H11c zenon_H10d zenon_Hfa zenon_H127 zenon_H295 zenon_H13a zenon_H5c zenon_Hdc. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L226_); trivial. % 1.15/1.30 apply (zenon_L461_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 apply (zenon_L824_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L78_); trivial. % 1.15/1.30 apply (zenon_L919_); trivial. % 1.15/1.30 apply (zenon_L874_); trivial. % 1.15/1.30 apply (zenon_L403_); trivial. % 1.15/1.30 apply (zenon_L80_); trivial. % 1.15/1.30 apply (zenon_L370_); trivial. % 1.15/1.30 (* end of lemma zenon_L920_ *) % 1.15/1.30 assert (zenon_L921_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H18e zenon_H18f zenon_H146 zenon_H11c zenon_H127 zenon_Hdc zenon_H295 zenon_H74 zenon_H6d zenon_H10d zenon_H5c zenon_H33 zenon_H35 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Haf zenon_H13a zenon_H111 zenon_H26c zenon_H121 zenon_H173 zenon_H90 zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H94 zenon_H22 zenon_H201 zenon_H2ed zenon_H21e zenon_H1ee zenon_H1 zenon_Hd zenon_Hfa zenon_Hbf zenon_H1af zenon_H1e6 zenon_H13c zenon_H1a2 zenon_H188 zenon_H1c5 zenon_H126. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.30 apply (zenon_L917_); trivial. % 1.15/1.30 apply (zenon_L910_); trivial. % 1.15/1.30 apply (zenon_L920_); trivial. % 1.15/1.30 (* end of lemma zenon_L921_ *) % 1.15/1.30 assert (zenon_L922_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H8f zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L804_); trivial. % 1.15/1.30 apply (zenon_L145_); trivial. % 1.15/1.30 (* end of lemma zenon_L922_ *) % 1.15/1.30 assert (zenon_L923_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hd8 zenon_H295 zenon_H1f0 zenon_H90 zenon_H10d zenon_H173 zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_Hf5 zenon_H97 zenon_H100 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H8d zenon_H13a zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H94. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L895_); trivial. % 1.15/1.30 apply (zenon_L145_); trivial. % 1.15/1.30 apply (zenon_L922_); trivial. % 1.15/1.30 apply (zenon_L898_); trivial. % 1.15/1.30 (* end of lemma zenon_L923_ *) % 1.15/1.30 assert (zenon_L924_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H94 zenon_H121 zenon_H2ed zenon_H21e zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H1c5. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.30 apply (zenon_L906_); trivial. % 1.15/1.30 apply (zenon_L417_); trivial. % 1.15/1.30 apply (zenon_L849_); trivial. % 1.15/1.30 (* end of lemma zenon_L924_ *) % 1.15/1.30 assert (zenon_L925_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H21e zenon_H2ed zenon_H201 zenon_H94 zenon_H22. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_L901_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.30 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.30 apply (zenon_L924_); trivial. % 1.15/1.30 apply (zenon_L900_); trivial. % 1.15/1.30 (* end of lemma zenon_L925_ *) % 1.15/1.30 assert (zenon_L926_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hdc zenon_H295 zenon_H10d zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Haf zenon_H13a zenon_H111 zenon_H26c zenon_H121 zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H94. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_L916_); trivial. % 1.15/1.30 apply (zenon_L923_); trivial. % 1.15/1.30 (* end of lemma zenon_L926_ *) % 1.15/1.30 assert (zenon_L927_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H18e zenon_H18f zenon_H146 zenon_H13c zenon_H1a2 zenon_H11c zenon_H127 zenon_Hdc zenon_H295 zenon_H10d zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Haf zenon_H13a zenon_H111 zenon_H26c zenon_H121 zenon_H173 zenon_H90 zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H94 zenon_H22 zenon_H201 zenon_H2ed zenon_H21e zenon_H1ee zenon_H1 zenon_Hd zenon_H1af zenon_Hfa zenon_Hbf zenon_H188 zenon_H1c5 zenon_H126. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.30 apply (zenon_L926_); trivial. % 1.15/1.30 apply (zenon_L925_); trivial. % 1.15/1.30 apply (zenon_L920_); trivial. % 1.15/1.30 (* end of lemma zenon_L927_ *) % 1.15/1.30 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp12)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H174 zenon_H10d zenon_H33 zenon_H27e zenon_H280 zenon_H27f zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_H90 zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H8d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L852_); trivial. % 1.15/1.30 apply (zenon_L896_); trivial. % 1.15/1.30 (* end of lemma zenon_L928_ *) % 1.15/1.30 assert (zenon_L929_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H296 zenon_H94 zenon_H35 zenon_H33 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_H90 zenon_H8d zenon_H10d zenon_H173 zenon_H6d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.30 apply (zenon_L805_); trivial. % 1.15/1.30 apply (zenon_L928_); trivial. % 1.15/1.30 apply (zenon_L854_); trivial. % 1.15/1.30 (* end of lemma zenon_L929_ *) % 1.15/1.30 assert (zenon_L930_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp8)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H33 zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_Hfa zenon_H27f zenon_H280 zenon_H27e zenon_H10 zenon_H9 zenon_H95. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L307_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L852_); trivial. % 1.15/1.30 apply (zenon_L832_); trivial. % 1.15/1.30 (* end of lemma zenon_L930_ *) % 1.15/1.30 assert (zenon_L931_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H6d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_Hfe zenon_H111 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_H27f zenon_H280 zenon_H27e zenon_Hfa zenon_H9 zenon_H10d zenon_H33 zenon_H35. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L930_); trivial. % 1.15/1.30 apply (zenon_L349_); trivial. % 1.15/1.30 (* end of lemma zenon_L931_ *) % 1.15/1.30 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H35 zenon_H33 zenon_H10d zenon_H9 zenon_Hfa zenon_H27e zenon_H280 zenon_H27f zenon_H1e6 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H6d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L931_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L930_); trivial. % 1.15/1.30 apply (zenon_L72_); trivial. % 1.15/1.30 (* end of lemma zenon_L932_ *) % 1.15/1.30 assert (zenon_L933_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp8)) -> (~(c0_1 (a167))) -> (~(c2_1 (a167))) -> (c1_1 (a167)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H10d zenon_H78 zenon_H77 zenon_H76 zenon_H33 zenon_H39 zenon_H3b zenon_H3c zenon_H1e6 zenon_Hfa zenon_H27f zenon_H280 zenon_H27e zenon_H10 zenon_H9 zenon_H95. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.30 apply (zenon_L28_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.30 apply (zenon_L852_); trivial. % 1.15/1.30 apply (zenon_L832_); trivial. % 1.15/1.30 (* end of lemma zenon_L933_ *) % 1.15/1.30 assert (zenon_L934_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H35 zenon_H33 zenon_H10d zenon_H9 zenon_Hfa zenon_H27e zenon_H280 zenon_H27f zenon_H1e6 zenon_H78 zenon_H77 zenon_H76 zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H6d. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L933_); trivial. % 1.15/1.30 apply (zenon_L201_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H36 | zenon_intro zenon_H71 ]. % 1.15/1.30 apply (zenon_L18_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H10. zenon_intro zenon_H72. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H39. zenon_intro zenon_H3b. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L933_); trivial. % 1.15/1.30 apply (zenon_L72_); trivial. % 1.15/1.30 (* end of lemma zenon_L934_ *) % 1.15/1.30 assert (zenon_L935_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.30 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H35 zenon_H33 zenon_H10d zenon_H9 zenon_Hfa zenon_H27e zenon_H280 zenon_H27f zenon_H1e6 zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H6d zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L78_); trivial. % 1.15/1.30 apply (zenon_L934_); trivial. % 1.15/1.30 (* end of lemma zenon_L935_ *) % 1.15/1.30 assert (zenon_L936_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H296 zenon_H94 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H6d zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H1e6 zenon_Hfa zenon_H9 zenon_H10d zenon_H33 zenon_H35 zenon_H11c zenon_H121 zenon_H74. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.30 apply (zenon_L78_); trivial. % 1.15/1.30 apply (zenon_L932_); trivial. % 1.15/1.30 apply (zenon_L935_); trivial. % 1.15/1.30 (* end of lemma zenon_L936_ *) % 1.15/1.30 assert (zenon_L937_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1d zenon_H295 zenon_H94 zenon_H74 zenon_Hbf zenon_H11c zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H2ed zenon_H111 zenon_H10d zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_L851_); trivial. % 1.15/1.30 apply (zenon_L912_); trivial. % 1.15/1.30 (* end of lemma zenon_L937_ *) % 1.15/1.30 assert (zenon_L938_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hdc zenon_H13a zenon_H20b zenon_H20a zenon_H209 zenon_H173 zenon_H90 zenon_H8d zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H94. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.30 apply (zenon_L916_); trivial. % 1.15/1.30 apply (zenon_L233_); trivial. % 1.15/1.30 (* end of lemma zenon_L938_ *) % 1.15/1.30 assert (zenon_L939_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H126 zenon_H22 zenon_H146 zenon_H13c zenon_H121 zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H94 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H90 zenon_H173 zenon_H209 zenon_H20a zenon_H20b zenon_H13a zenon_Hdc. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.15/1.30 apply (zenon_L938_); trivial. % 1.15/1.30 apply (zenon_L465_); trivial. % 1.15/1.30 (* end of lemma zenon_L939_ *) % 1.15/1.30 assert (zenon_L940_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H18e zenon_H18f zenon_H1a2 zenon_H26c zenon_H74 zenon_H127 zenon_H295 zenon_H5c zenon_Hdc zenon_H13a zenon_H20b zenon_H20a zenon_H209 zenon_H173 zenon_H90 zenon_H155 zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H94 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H13c zenon_H146 zenon_H22 zenon_H126. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.15/1.30 apply (zenon_L939_); trivial. % 1.15/1.30 apply (zenon_L920_); trivial. % 1.15/1.30 (* end of lemma zenon_L940_ *) % 1.15/1.30 assert (zenon_L941_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((hskp1)\/(hskp24))) -> (~(hskp1)) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H1d zenon_H295 zenon_H94 zenon_Hbf zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H2ed zenon_H111 zenon_H10d zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H220 zenon_H21e zenon_H20b zenon_H20a zenon_H209 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.30 apply (zenon_L851_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_L272_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L424_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L890_); trivial. % 1.15/1.30 apply (zenon_L212_); trivial. % 1.15/1.30 (* end of lemma zenon_L941_ *) % 1.15/1.30 assert (zenon_L942_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L647_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 (* end of lemma zenon_L942_ *) % 1.15/1.30 assert (zenon_L943_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H8f zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Haf zenon_Hbf. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L690_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 (* end of lemma zenon_L943_ *) % 1.15/1.30 assert (zenon_L944_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H68 zenon_H6a zenon_H33 zenon_H35 zenon_H18d. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.15/1.30 apply (zenon_L942_); trivial. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L651_); trivial. % 1.15/1.30 apply (zenon_L803_); trivial. % 1.15/1.30 apply (zenon_L943_); trivial. % 1.15/1.30 (* end of lemma zenon_L944_ *) % 1.15/1.30 assert (zenon_L945_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 1.15/1.30 do 0 intro. intros zenon_Hfa zenon_H8d zenon_H10 zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H9 zenon_H95. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H3a | zenon_intro zenon_Hfb ]. % 1.15/1.30 apply (zenon_L413_); trivial. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Ha | zenon_intro zenon_H96 ]. % 1.15/1.30 exact (zenon_H9 zenon_Ha). % 1.15/1.30 exact (zenon_H95 zenon_H96). % 1.15/1.30 (* end of lemma zenon_L945_ *) % 1.15/1.30 assert (zenon_L946_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H1ad zenon_H1af zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H280 zenon_H27f zenon_H27e zenon_H9 zenon_Hfa. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.30 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.30 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.30 apply (zenon_L945_); trivial. % 1.15/1.30 apply (zenon_L613_); trivial. % 1.15/1.30 (* end of lemma zenon_L946_ *) % 1.15/1.30 assert (zenon_L947_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.30 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H2d0 zenon_H1ad zenon_H1af zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H280 zenon_H27f zenon_H27e zenon_H9 zenon_Hfa zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.15/1.30 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.30 apply (zenon_L621_); trivial. % 1.15/1.30 apply (zenon_L946_); trivial. % 1.15/1.30 (* end of lemma zenon_L947_ *) % 1.15/1.30 assert (zenon_L948_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_Hc0 zenon_H27e zenon_H280 zenon_H27f zenon_H68 zenon_H6a zenon_H100 zenon_Hfe zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.31 apply (zenon_L603_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.15/1.31 apply (zenon_L601_); trivial. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.15/1.31 apply (zenon_L423_); trivial. % 1.15/1.31 exact (zenon_H1b zenon_H1c). % 1.15/1.31 (* end of lemma zenon_L948_ *) % 1.15/1.31 assert (zenon_L949_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp28)) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp10)) -> False). % 1.15/1.31 do 0 intro. intros zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H95 zenon_H9 zenon_H10 zenon_H27e zenon_H280 zenon_H27f zenon_Hfa zenon_H1b. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.15/1.31 apply (zenon_L601_); trivial. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.15/1.31 apply (zenon_L832_); trivial. % 1.15/1.31 exact (zenon_H1b zenon_H1c). % 1.15/1.31 (* end of lemma zenon_L949_ *) % 1.15/1.31 assert (zenon_L950_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H27f zenon_H280 zenon_H27e zenon_H1b zenon_H2c6. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.31 apply (zenon_L949_); trivial. % 1.15/1.31 apply (zenon_L72_); trivial. % 1.15/1.31 (* end of lemma zenon_L950_ *) % 1.15/1.31 assert (zenon_L951_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.31 apply (zenon_L948_); trivial. % 1.15/1.31 apply (zenon_L950_); trivial. % 1.15/1.31 (* end of lemma zenon_L951_ *) % 1.15/1.31 assert (zenon_L952_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H74 zenon_H11c zenon_H2c6 zenon_H1b zenon_H6a zenon_H68 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_Hfa zenon_H9 zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H1af zenon_H1ad zenon_H2d0 zenon_Hbf zenon_H121. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L947_); trivial. % 1.15/1.31 apply (zenon_L951_); trivial. % 1.15/1.31 (* end of lemma zenon_L952_ *) % 1.15/1.31 assert (zenon_L953_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.15/1.31 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H166 zenon_H165 zenon_H10 zenon_H1ec. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.31 apply (zenon_L610_); trivial. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.31 apply (zenon_L413_); trivial. % 1.15/1.31 apply (zenon_L181_); trivial. % 1.15/1.31 (* end of lemma zenon_L953_ *) % 1.15/1.31 assert (zenon_L954_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H123 zenon_H173 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H280 zenon_H27f zenon_H27e zenon_H1ee zenon_H1ec zenon_H1b3 zenon_H1b1 zenon_H10d zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H97 zenon_H3 zenon_H214. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.15/1.31 apply (zenon_L196_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.31 apply (zenon_L805_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.31 apply (zenon_L953_); trivial. % 1.15/1.31 apply (zenon_L62_); trivial. % 1.15/1.31 (* end of lemma zenon_L954_ *) % 1.15/1.31 assert (zenon_L955_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H1ee zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H173 zenon_H123. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.31 apply (zenon_L954_); trivial. % 1.15/1.31 apply (zenon_L733_); trivial. % 1.15/1.31 (* end of lemma zenon_L955_ *) % 1.15/1.31 assert (zenon_L956_ : ((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H11e zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H2c6 zenon_H1b zenon_H1b1 zenon_H1b3 zenon_H13c zenon_H2bf zenon_H2be zenon_H2bd zenon_H111. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.31 apply (zenon_L671_); trivial. % 1.15/1.31 apply (zenon_L72_); trivial. % 1.15/1.31 (* end of lemma zenon_L956_ *) % 1.15/1.31 assert (zenon_L957_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H6c zenon_H121 zenon_Hbf zenon_H11c zenon_H1b1 zenon_H1b3 zenon_H13c zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.31 apply (zenon_L948_); trivial. % 1.15/1.31 apply (zenon_L956_); trivial. % 1.15/1.31 (* end of lemma zenon_L957_ *) % 1.15/1.31 assert (zenon_L958_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H2d0 zenon_H53 zenon_H54 zenon_H55 zenon_H1ad zenon_H1af zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.31 apply (zenon_L948_); trivial. % 1.15/1.31 apply (zenon_L614_); trivial. % 1.15/1.31 (* end of lemma zenon_L958_ *) % 1.15/1.31 assert (zenon_L959_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H173 zenon_H123. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.15/1.31 apply (zenon_L196_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.31 apply (zenon_L805_); trivial. % 1.15/1.31 apply (zenon_L696_); trivial. % 1.15/1.31 apply (zenon_L733_); trivial. % 1.15/1.31 (* end of lemma zenon_L959_ *) % 1.15/1.31 assert (zenon_L960_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H122 zenon_Hdc zenon_Hd9 zenon_H299 zenon_H295 zenon_H1c5 zenon_H74 zenon_H11c zenon_H123 zenon_Hf5 zenon_Hc1 zenon_H1ee zenon_H10d zenon_H1f0 zenon_H97 zenon_H214 zenon_H23e zenon_H240 zenon_H201 zenon_Hfa zenon_H1af zenon_H2d0 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H2c6 zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_Hd zenon_H1 zenon_H3 zenon_H1b zenon_H1e zenon_H22. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.15/1.31 apply (zenon_L12_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L944_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.15/1.31 apply (zenon_L958_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L959_); trivial. % 1.15/1.31 apply (zenon_L957_); trivial. % 1.15/1.31 apply (zenon_L11_); trivial. % 1.15/1.31 apply (zenon_L914_); trivial. % 1.15/1.31 (* end of lemma zenon_L960_ *) % 1.15/1.31 assert (zenon_L961_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.15/1.31 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L78_); trivial. % 1.15/1.31 apply (zenon_L951_); trivial. % 1.15/1.31 (* end of lemma zenon_L961_ *) % 1.15/1.31 assert (zenon_L962_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp4)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H148 zenon_Hd9 zenon_H299 zenon_H295 zenon_H74 zenon_H11c zenon_Hfa zenon_H127 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_H3 zenon_H1e zenon_H22. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L944_); trivial. % 1.15/1.31 apply (zenon_L961_); trivial. % 1.15/1.31 apply (zenon_L11_); trivial. % 1.15/1.31 apply (zenon_L914_); trivial. % 1.15/1.31 (* end of lemma zenon_L962_ *) % 1.15/1.31 assert (zenon_L963_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.15/1.31 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_Hb zenon_H27e zenon_H280 zenon_H27f zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H166 zenon_H165 zenon_H10 zenon_H1ec. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.31 apply (zenon_L610_); trivial. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.31 apply (zenon_L871_); trivial. % 1.15/1.31 apply (zenon_L315_); trivial. % 1.15/1.31 (* end of lemma zenon_L963_ *) % 1.15/1.31 assert (zenon_L964_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10d zenon_H12 zenon_H13 zenon_H14 zenon_H1ee zenon_H14c zenon_H14d zenon_H14e zenon_H27e zenon_H280 zenon_H27f zenon_Hb zenon_H155 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_Hcf zenon_H2f zenon_Hc0 zenon_H173 zenon_H123. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.15/1.31 apply (zenon_L196_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.31 apply (zenon_L805_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.31 apply (zenon_L963_); trivial. % 1.15/1.31 apply (zenon_L109_); trivial. % 1.15/1.31 apply (zenon_L733_); trivial. % 1.15/1.31 (* end of lemma zenon_L964_ *) % 1.15/1.31 assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H296 zenon_H94 zenon_H90 zenon_H8d zenon_H123 zenon_H173 zenon_Hc0 zenon_Hcf zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H10d zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.31 apply (zenon_L964_); trivial. % 1.15/1.31 apply (zenon_L864_); trivial. % 1.15/1.31 (* end of lemma zenon_L965_ *) % 1.15/1.31 assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.15/1.31 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H295 zenon_H90 zenon_H8d zenon_H123 zenon_H173 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H1ee zenon_H10d zenon_H1f0 zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_Hc0 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_H1 zenon_Hb zenon_Hd. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_L7_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L870_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.31 apply (zenon_L964_); trivial. % 1.15/1.31 apply (zenon_L50_); trivial. % 1.15/1.31 (* end of lemma zenon_L966_ *) % 1.15/1.31 assert (zenon_L967_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_Hd9 zenon_Hd zenon_Hb zenon_H1 zenon_H94 zenon_H1a2 zenon_H13c zenon_Haf zenon_Hbf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H6d zenon_H188 zenon_H6a zenon_H33 zenon_H35 zenon_H18d zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H1f0 zenon_H10d zenon_H1ee zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H123 zenon_H8d zenon_H90 zenon_H295 zenon_H22. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_L7_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L868_); trivial. % 1.15/1.31 apply (zenon_L965_); trivial. % 1.15/1.31 apply (zenon_L966_); trivial. % 1.15/1.31 (* end of lemma zenon_L967_ *) % 1.15/1.31 assert (zenon_L968_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.15/1.31 apply (zenon_L621_); trivial. % 1.15/1.31 apply (zenon_L803_); trivial. % 1.15/1.31 (* end of lemma zenon_L968_ *) % 1.15/1.31 assert (zenon_L969_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H74 zenon_H6d zenon_Hbf zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H9 zenon_Hfa zenon_H33 zenon_H35 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L968_); trivial. % 1.15/1.31 apply (zenon_L751_); trivial. % 1.15/1.31 (* end of lemma zenon_L969_ *) % 1.15/1.31 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H6c zenon_Hbf zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H280 zenon_H27f zenon_H27e zenon_H9 zenon_Hfa. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.15/1.31 apply (zenon_L945_); trivial. % 1.15/1.31 apply (zenon_L254_); trivial. % 1.15/1.31 (* end of lemma zenon_L970_ *) % 1.15/1.31 assert (zenon_L971_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(hskp18)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H74 zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_Hfa zenon_H9 zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H1af zenon_H1ad zenon_H2d0 zenon_Hbf zenon_H121. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L947_); trivial. % 1.15/1.31 apply (zenon_L970_); trivial. % 1.15/1.31 (* end of lemma zenon_L971_ *) % 1.15/1.31 assert (zenon_L972_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.15/1.31 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H166 zenon_H165 zenon_H10 zenon_H1ec. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.15/1.31 apply (zenon_L610_); trivial. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.15/1.31 apply (zenon_L413_); trivial. % 1.15/1.31 apply (zenon_L315_); trivial. % 1.15/1.31 (* end of lemma zenon_L972_ *) % 1.15/1.31 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H1d zenon_H295 zenon_H201 zenon_H240 zenon_H23e zenon_H1ee zenon_H74 zenon_H6d zenon_Hbf zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H13c zenon_H2d9 zenon_H1e6 zenon_H10d zenon_H33 zenon_H35 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H13a zenon_H8d zenon_H1f0 zenon_H90 zenon_H173 zenon_H94. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_L968_); trivial. % 1.15/1.31 apply (zenon_L638_); trivial. % 1.15/1.31 apply (zenon_L806_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.15/1.31 apply (zenon_L196_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.15/1.31 apply (zenon_L805_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.15/1.31 apply (zenon_L972_); trivial. % 1.15/1.31 apply (zenon_L62_); trivial. % 1.15/1.31 apply (zenon_L733_); trivial. % 1.15/1.31 apply (zenon_L638_); trivial. % 1.15/1.31 apply (zenon_L809_); trivial. % 1.15/1.31 (* end of lemma zenon_L973_ *) % 1.15/1.31 assert (zenon_L974_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H8f zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H10d zenon_H173. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.15/1.31 apply (zenon_L857_); trivial. % 1.15/1.31 apply (zenon_L669_); trivial. % 1.15/1.31 (* end of lemma zenon_L974_ *) % 1.15/1.31 assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H296 zenon_H94 zenon_Hbf zenon_H2d0 zenon_H99 zenon_Hdd zenon_Hde zenon_Hdf zenon_H123 zenon_H173 zenon_Hc0 zenon_Hcf zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H1ee zenon_H14 zenon_H13 zenon_H12 zenon_H10d zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.15/1.31 apply (zenon_L964_); trivial. % 1.15/1.31 apply (zenon_L974_); trivial. % 1.15/1.31 (* end of lemma zenon_L975_ *) % 1.15/1.31 assert (zenon_L976_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.15/1.31 do 0 intro. intros zenon_H22 zenon_H295 zenon_H94 zenon_Hbf zenon_H2d0 zenon_H99 zenon_H123 zenon_H173 zenon_Hcf zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H1ee zenon_H10d zenon_H1f0 zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201 zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H68 zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H1 zenon_Hb zenon_Hd. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_L7_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L840_); trivial. % 1.15/1.31 apply (zenon_L975_); trivial. % 1.15/1.31 (* end of lemma zenon_L976_ *) % 1.15/1.31 assert (zenon_L977_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.15/1.31 do 0 intro. intros zenon_Hd9 zenon_Haf zenon_H13c zenon_H1a2 zenon_Hd zenon_Hb zenon_H1 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_Hdf zenon_Hde zenon_Hdd zenon_Hc0 zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H1f0 zenon_H10d zenon_H1ee zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_Hcf zenon_H173 zenon_H123 zenon_H99 zenon_H2d0 zenon_Hbf zenon_H94 zenon_H295 zenon_H22. % 1.15/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.15/1.31 apply (zenon_L976_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.15/1.31 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.15/1.31 apply (zenon_L7_); trivial. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.15/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.15/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.15/1.31 apply (zenon_L870_); trivial. % 1.15/1.31 apply (zenon_L975_); trivial. % 1.15/1.31 (* end of lemma zenon_L977_ *) % 1.15/1.31 assert (zenon_L978_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H1c2 zenon_H74 zenon_H6d zenon_Hbf zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H9 zenon_Hfa zenon_H33 zenon_H35 zenon_H123 zenon_H173 zenon_Hc0 zenon_Hf5 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H97 zenon_H3 zenon_H214 zenon_H23e zenon_H240 zenon_H201. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L959_); trivial. % 1.19/1.31 apply (zenon_L751_); trivial. % 1.19/1.31 (* end of lemma zenon_L978_ *) % 1.19/1.31 assert (zenon_L979_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (~(c0_1 (a111))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp8)) -> ((hskp25)\/(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H1d zenon_H94 zenon_H74 zenon_H6d zenon_H5c zenon_H14c zenon_H14e zenon_H14d zenon_H11c zenon_H13c zenon_H2d9 zenon_H1e6 zenon_H10d zenon_H33 zenon_H35 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H99 zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2d0 zenon_Hbf zenon_H121 zenon_H201 zenon_H240 zenon_H23e zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H173 zenon_H1c5. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L623_); trivial. % 1.19/1.31 apply (zenon_L638_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L959_); trivial. % 1.19/1.31 apply (zenon_L638_); trivial. % 1.19/1.31 apply (zenon_L974_); trivial. % 1.19/1.31 (* end of lemma zenon_L979_ *) % 1.19/1.31 assert (zenon_L980_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H22 zenon_H13c zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hdf zenon_Hde zenon_Hdd zenon_Hc0 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.31 apply (zenon_L842_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.31 apply (zenon_L840_); trivial. % 1.19/1.31 apply (zenon_L837_); trivial. % 1.19/1.31 (* end of lemma zenon_L980_ *) % 1.19/1.31 assert (zenon_L981_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a116)) -> (c0_1 (a116)) -> (~(c3_1 (a116))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H295 zenon_H10d zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H11c zenon_H74 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_Hcf zenon_Hc8 zenon_Hc7 zenon_Hc6 zenon_Hc0 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.31 apply (zenon_L870_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L78_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.31 apply (zenon_L248_); trivial. % 1.19/1.31 apply (zenon_L73_); trivial. % 1.19/1.31 apply (zenon_L874_); trivial. % 1.19/1.31 (* end of lemma zenon_L981_ *) % 1.19/1.31 assert (zenon_L982_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_Hd9 zenon_H146 zenon_H163 zenon_H173 zenon_H2d0 zenon_H2d5 zenon_H2d7 zenon_H2bf zenon_H2be zenon_H2bd zenon_H23c zenon_H212 zenon_H188 zenon_H18d zenon_H94 zenon_H1a2 zenon_Haf zenon_Hcf zenon_H10d zenon_H295 zenon_H74 zenon_Hbf zenon_H11c zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H13c zenon_H22. % 1.19/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.31 apply (zenon_L980_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.31 apply (zenon_L981_); trivial. % 1.19/1.31 apply (zenon_L634_); trivial. % 1.19/1.31 (* end of lemma zenon_L982_ *) % 1.19/1.31 assert (zenon_L983_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H35 zenon_H33 zenon_H1e6 zenon_H2d9 zenon_H6d zenon_H5c zenon_H22 zenon_H13c zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_Hc0 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295 zenon_H10d zenon_Hcf zenon_Haf zenon_H1a2 zenon_H94 zenon_H18d zenon_H188 zenon_H212 zenon_H23c zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d7 zenon_H2d5 zenon_H2d0 zenon_H173 zenon_H163 zenon_H146 zenon_Hd9. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.31 apply (zenon_L982_); trivial. % 1.19/1.31 apply (zenon_L639_); trivial. % 1.19/1.31 (* end of lemma zenon_L983_ *) % 1.19/1.31 assert (zenon_L984_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp28)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp2))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H148 zenon_H126 zenon_H1e6 zenon_H2d9 zenon_Hd9 zenon_H146 zenon_H2d0 zenon_H2d5 zenon_H2d7 zenon_H2bf zenon_H2be zenon_H2bd zenon_H23c zenon_H212 zenon_H10d zenon_H295 zenon_H74 zenon_H11c zenon_Hfa zenon_H127 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Hbf zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_H22 zenon_H13a zenon_H5c zenon_Hdc. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.31 apply (zenon_L869_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.31 apply (zenon_L876_); trivial. % 1.19/1.31 apply (zenon_L634_); trivial. % 1.19/1.31 apply (zenon_L80_); trivial. % 1.19/1.31 apply (zenon_L983_); trivial. % 1.19/1.31 (* end of lemma zenon_L984_ *) % 1.19/1.31 assert (zenon_L985_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H22 zenon_H295 zenon_H90 zenon_H8d zenon_H1ee zenon_H10d zenon_H1f0 zenon_H23e zenon_H240 zenon_H201 zenon_H74 zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H173 zenon_Hcf zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H163 zenon_H13c zenon_H11c zenon_Hbf zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H1a2 zenon_H94 zenon_H1 zenon_Hb zenon_Hd. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.31 apply (zenon_L7_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L968_); trivial. % 1.19/1.31 apply (zenon_L164_); trivial. % 1.19/1.31 apply (zenon_L824_); trivial. % 1.19/1.31 apply (zenon_L965_); trivial. % 1.19/1.31 (* end of lemma zenon_L985_ *) % 1.19/1.31 assert (zenon_L986_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H74 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H195 zenon_H194 zenon_H193 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_Haf zenon_H146 zenon_H111 zenon_H97 zenon_H3 zenon_H214 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_L968_); trivial. % 1.19/1.31 apply (zenon_L145_); trivial. % 1.19/1.31 (* end of lemma zenon_L986_ *) % 1.19/1.31 assert (zenon_L987_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c2_1 (a134))) -> (ndr1_0) -> (c0_1 (a134)) -> (c3_1 (a134)) -> False). % 1.19/1.31 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H1ba zenon_H10 zenon_H1b1 zenon_H1b3. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.19/1.31 apply (zenon_L610_); trivial. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.19/1.31 apply (zenon_L413_); trivial. % 1.19/1.31 apply (zenon_L160_); trivial. % 1.19/1.31 (* end of lemma zenon_L987_ *) % 1.19/1.31 assert (zenon_L988_ : ((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H1c2 zenon_H74 zenon_H5c zenon_H214 zenon_H3 zenon_H97 zenon_H10d zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_Hf5 zenon_Hc0 zenon_H123. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.19/1.31 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.31 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.19/1.31 apply (zenon_L196_); trivial. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.19/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.19/1.31 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.31 apply (zenon_L987_); trivial. % 1.19/1.31 apply (zenon_L62_); trivial. % 1.19/1.31 apply (zenon_L145_); trivial. % 1.19/1.31 (* end of lemma zenon_L988_ *) % 1.19/1.31 assert (zenon_L989_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.31 do 0 intro. intros zenon_H296 zenon_H1c5 zenon_H10d zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H121 zenon_Hbf zenon_H2d0 zenon_H1af zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H9 zenon_Hfa zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H5c zenon_H74. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.32 apply (zenon_L971_); trivial. % 1.19/1.32 apply (zenon_L988_); trivial. % 1.19/1.32 (* end of lemma zenon_L989_ *) % 1.19/1.32 assert (zenon_L990_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H295 zenon_H1c5 zenon_H10d zenon_H188 zenon_Hbf zenon_H2d0 zenon_H1af zenon_H13a zenon_H8d zenon_H9 zenon_Hfa zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H193 zenon_H194 zenon_H195 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H74. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.32 apply (zenon_L986_); trivial. % 1.19/1.32 apply (zenon_L989_); trivial. % 1.19/1.32 (* end of lemma zenon_L990_ *) % 1.19/1.32 assert (zenon_L991_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H296 zenon_H1c5 zenon_H10d zenon_H188 zenon_H8d zenon_H13a zenon_H121 zenon_Hbf zenon_H2d0 zenon_H53 zenon_H54 zenon_H55 zenon_H1af zenon_H12 zenon_H13 zenon_H14 zenon_H99 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H193 zenon_H194 zenon_H195 zenon_H5c zenon_H74. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.32 apply (zenon_L624_); trivial. % 1.19/1.32 apply (zenon_L988_); trivial. % 1.19/1.32 (* end of lemma zenon_L991_ *) % 1.19/1.32 assert (zenon_L992_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H1d zenon_H295 zenon_H1c5 zenon_H10d zenon_H188 zenon_H8d zenon_H13a zenon_Hbf zenon_H2d0 zenon_H1af zenon_H99 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H214 zenon_H3 zenon_H97 zenon_H111 zenon_H146 zenon_Haf zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H123 zenon_H193 zenon_H194 zenon_H195 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H74. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.32 apply (zenon_L986_); trivial. % 1.19/1.32 apply (zenon_L991_); trivial. % 1.19/1.32 (* end of lemma zenon_L992_ *) % 1.19/1.32 assert (zenon_L993_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H121 zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_Hfa zenon_H9 zenon_H27f zenon_H280 zenon_H27e zenon_Hc0 zenon_H161 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H2f zenon_H173. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_L110_); trivial. % 1.19/1.32 apply (zenon_L834_); trivial. % 1.19/1.32 (* end of lemma zenon_L993_ *) % 1.19/1.32 assert (zenon_L994_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H296 zenon_H94 zenon_H10d zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H18d zenon_H74. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.32 apply (zenon_L78_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.32 apply (zenon_L993_); trivial. % 1.19/1.32 apply (zenon_L662_); trivial. % 1.19/1.32 apply (zenon_L874_); trivial. % 1.19/1.32 (* end of lemma zenon_L994_ *) % 1.19/1.32 assert (zenon_L995_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H5c zenon_H295 zenon_H10d zenon_H127 zenon_H11c zenon_H74 zenon_H18d zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_Hfa zenon_H173 zenon_Hcf zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Haf zenon_H13c zenon_H1a2 zenon_H94 zenon_H146 zenon_H22. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.32 apply (zenon_L867_); trivial. % 1.19/1.32 apply (zenon_L662_); trivial. % 1.19/1.32 apply (zenon_L824_); trivial. % 1.19/1.32 apply (zenon_L994_); trivial. % 1.19/1.32 apply (zenon_L165_); trivial. % 1.19/1.32 apply (zenon_L166_); trivial. % 1.19/1.32 (* end of lemma zenon_L995_ *) % 1.19/1.32 assert (zenon_L996_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H8f zenon_H173 zenon_H2c6 zenon_H1b zenon_H8d zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.32 apply (zenon_L805_); trivial. % 1.19/1.32 apply (zenon_L702_); trivial. % 1.19/1.32 (* end of lemma zenon_L996_ *) % 1.19/1.32 assert (zenon_L997_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H94 zenon_H173 zenon_H2c6 zenon_H1b zenon_H8d zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_L197_); trivial. % 1.19/1.32 apply (zenon_L996_); trivial. % 1.19/1.32 (* end of lemma zenon_L997_ *) % 1.19/1.32 assert (zenon_L998_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H122 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1ee zenon_H173 zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_L236_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_L197_); trivial. % 1.19/1.32 apply (zenon_L974_); trivial. % 1.19/1.32 (* end of lemma zenon_L998_ *) % 1.19/1.32 assert (zenon_L999_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2d0 zenon_H99 zenon_H1ee zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H2bd zenon_H2be zenon_H2bf zenon_H90 zenon_H1b zenon_H2c6 zenon_H173 zenon_H94. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_L997_); trivial. % 1.19/1.32 apply (zenon_L998_); trivial. % 1.19/1.32 (* end of lemma zenon_L999_ *) % 1.19/1.32 assert (zenon_L1000_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H18f zenon_Hd9 zenon_H299 zenon_H295 zenon_H74 zenon_H127 zenon_H18d zenon_H35 zenon_H33 zenon_H6a zenon_H188 zenon_H6d zenon_Hcf zenon_H163 zenon_H26c zenon_H13c zenon_H1a2 zenon_H1e zenon_H94 zenon_H173 zenon_H2c6 zenon_H1b zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H214 zenon_H3 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123 zenon_H121 zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H1ee zenon_H99 zenon_H2d0 zenon_H201 zenon_H22 zenon_H126. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.32 apply (zenon_L999_); trivial. % 1.19/1.32 apply (zenon_L962_); trivial. % 1.19/1.32 (* end of lemma zenon_L1000_ *) % 1.19/1.32 assert (zenon_L1001_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1ee zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94 zenon_H173 zenon_H90 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123 zenon_H13a zenon_Hdc. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_L865_); trivial. % 1.19/1.32 apply (zenon_L998_); trivial. % 1.19/1.32 (* end of lemma zenon_L1001_ *) % 1.19/1.32 assert (zenon_L1002_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (ndr1_0) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H94 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H10 zenon_H2bd zenon_H2be zenon_H2bf zenon_H90 zenon_H8d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H1b zenon_H2c6 zenon_H173. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.32 apply (zenon_L805_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c7 ]. % 1.19/1.32 apply (zenon_L601_); trivial. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H102 | zenon_intro zenon_H1c ]. % 1.19/1.32 apply (zenon_L896_); trivial. % 1.19/1.32 exact (zenon_H1b zenon_H1c). % 1.19/1.32 apply (zenon_L996_); trivial. % 1.19/1.32 (* end of lemma zenon_L1002_ *) % 1.19/1.32 assert (zenon_L1003_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H1d zenon_H94 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_L272_); trivial. % 1.19/1.32 apply (zenon_L974_); trivial. % 1.19/1.32 (* end of lemma zenon_L1003_ *) % 1.19/1.32 assert (zenon_L1004_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H22 zenon_H94 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hdd zenon_Hde zenon_Hdf zenon_H1ee zenon_H10d zenon_H173 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1 zenon_Hb zenon_Hd. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_L7_); trivial. % 1.19/1.32 apply (zenon_L1003_); trivial. % 1.19/1.32 (* end of lemma zenon_L1004_ *) % 1.19/1.32 assert (zenon_L1005_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H173 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H1ec zenon_H1ee zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.32 apply (zenon_L805_); trivial. % 1.19/1.32 apply (zenon_L333_); trivial. % 1.19/1.32 (* end of lemma zenon_L1005_ *) % 1.19/1.32 assert (zenon_L1006_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H8f zenon_H1c5 zenon_H201 zenon_H1f0 zenon_H97 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H1ee zenon_H173 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H1af zenon_H55 zenon_H54 zenon_H53 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H121. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.32 apply (zenon_L627_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.32 apply (zenon_L815_); trivial. % 1.19/1.32 apply (zenon_L676_); trivial. % 1.19/1.32 (* end of lemma zenon_L1006_ *) % 1.19/1.32 assert (zenon_L1007_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H94 zenon_H22. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.32 apply (zenon_L1004_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.32 apply (zenon_L675_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.32 apply (zenon_L1005_); trivial. % 1.19/1.32 apply (zenon_L676_); trivial. % 1.19/1.32 apply (zenon_L1006_); trivial. % 1.19/1.32 apply (zenon_L1003_); trivial. % 1.19/1.32 (* end of lemma zenon_L1007_ *) % 1.19/1.32 assert (zenon_L1008_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H94 zenon_Hbf zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_L681_); trivial. % 1.19/1.32 apply (zenon_L803_); trivial. % 1.19/1.32 apply (zenon_L943_); trivial. % 1.19/1.32 (* end of lemma zenon_L1008_ *) % 1.19/1.32 assert (zenon_L1009_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.19/1.32 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H14 zenon_H13 zenon_H12 zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H6a zenon_H68 zenon_Hc0 zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.32 apply (zenon_L78_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_L948_); trivial. % 1.19/1.32 apply (zenon_L692_); trivial. % 1.19/1.32 (* end of lemma zenon_L1009_ *) % 1.19/1.32 assert (zenon_L1010_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H148 zenon_H126 zenon_H146 zenon_Hfa zenon_H10d zenon_Hd9 zenon_H299 zenon_Hd zenon_H1 zenon_H94 zenon_Hbf zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H127 zenon_H6a zenon_H11c zenon_H74 zenon_H295 zenon_H22 zenon_H13a zenon_H5c zenon_Hdc. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_L7_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.32 apply (zenon_L1008_); trivial. % 1.19/1.32 apply (zenon_L1009_); trivial. % 1.19/1.32 apply (zenon_L914_); trivial. % 1.19/1.32 apply (zenon_L80_); trivial. % 1.19/1.32 apply (zenon_L370_); trivial. % 1.19/1.32 (* end of lemma zenon_L1010_ *) % 1.19/1.32 assert (zenon_L1011_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H146 zenon_H13c zenon_H1c5 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H173 zenon_H10d zenon_H1ee zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H99 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H94 zenon_H22. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.32 apply (zenon_L1004_); trivial. % 1.19/1.32 apply (zenon_L708_); trivial. % 1.19/1.32 (* end of lemma zenon_L1011_ *) % 1.19/1.32 assert (zenon_L1012_ : ((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H202 zenon_H192 zenon_Hf5 zenon_H155 zenon_H126 zenon_Hdc zenon_H146 zenon_H13c zenon_H1c5 zenon_H188 zenon_Hc0 zenon_Haf zenon_H100 zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_Hd zenon_H1 zenon_H10d zenon_H1ee zenon_H99 zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22 zenon_H173 zenon_H2c6 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H94 zenon_H5c zenon_H13a zenon_H295 zenon_H74 zenon_H11c zenon_H6a zenon_H127 zenon_H26c zenon_H1a2 zenon_H299 zenon_Hd9 zenon_H18f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_L1002_); trivial. % 1.19/1.32 apply (zenon_L1011_); trivial. % 1.19/1.32 apply (zenon_L1010_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_L926_); trivial. % 1.19/1.32 apply (zenon_L1011_); trivial. % 1.19/1.32 apply (zenon_L920_); trivial. % 1.19/1.32 (* end of lemma zenon_L1012_ *) % 1.19/1.32 assert (zenon_L1013_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H126 zenon_H22 zenon_H146 zenon_H13c zenon_H121 zenon_H209 zenon_H20a zenon_H20b zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H173 zenon_H2c6 zenon_H1b zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H10 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H97 zenon_H1f0 zenon_H94. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.32 apply (zenon_L1002_); trivial. % 1.19/1.32 apply (zenon_L465_); trivial. % 1.19/1.32 (* end of lemma zenon_L1013_ *) % 1.19/1.32 assert (zenon_L1014_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c2_1 (a126))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> False). % 1.19/1.32 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_Hfe zenon_H111 zenon_H10 zenon_H2bd zenon_H2be zenon_H2bf zenon_Hfa zenon_H9 zenon_H27f zenon_H280 zenon_H27e zenon_H1b zenon_H2c6. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.32 apply (zenon_L949_); trivial. % 1.19/1.32 apply (zenon_L680_); trivial. % 1.19/1.32 (* end of lemma zenon_L1014_ *) % 1.19/1.32 assert (zenon_L1015_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H2c6 zenon_H1b zenon_H27e zenon_H280 zenon_H27f zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H111 zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_L1014_); trivial. % 1.19/1.32 apply (zenon_L950_); trivial. % 1.19/1.32 (* end of lemma zenon_L1015_ *) % 1.19/1.32 assert (zenon_L1016_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H6c zenon_H121 zenon_H11c zenon_H2c6 zenon_H1b zenon_H27e zenon_H280 zenon_H27f zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H111 zenon_H100 zenon_H76 zenon_H77 zenon_H78 zenon_Haf zenon_Hc0 zenon_Hbf. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.32 apply (zenon_L949_); trivial. % 1.19/1.32 apply (zenon_L686_); trivial. % 1.19/1.32 apply (zenon_L950_); trivial. % 1.19/1.32 (* end of lemma zenon_L1016_ *) % 1.19/1.32 assert (zenon_L1017_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> False). % 1.19/1.32 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H2c6 zenon_H1b zenon_H27e zenon_H280 zenon_H27f zenon_H9 zenon_Hfa zenon_H2bf zenon_H2be zenon_H2bd zenon_H111 zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H12a zenon_H129 zenon_H128 zenon_H127. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.32 apply (zenon_L78_); trivial. % 1.19/1.32 apply (zenon_L1016_); trivial. % 1.19/1.32 (* end of lemma zenon_L1017_ *) % 1.19/1.32 assert (zenon_L1018_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H295 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H9 zenon_H11c zenon_H74 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_Hbf zenon_H94. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.32 apply (zenon_L1008_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.32 apply (zenon_L78_); trivial. % 1.19/1.32 apply (zenon_L1015_); trivial. % 1.19/1.32 apply (zenon_L1017_); trivial. % 1.19/1.32 (* end of lemma zenon_L1018_ *) % 1.19/1.32 assert (zenon_L1019_ : ((ndr1_0)/\((c0_1 (a106))/\((c1_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H2b4 zenon_H192 zenon_H5c zenon_Hdc zenon_H13a zenon_H155 zenon_H126 zenon_H22 zenon_H146 zenon_H13c zenon_H121 zenon_H11c zenon_Hfa zenon_H111 zenon_H10d zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H173 zenon_H2c6 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H90 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H94 zenon_H295 zenon_H127 zenon_H74 zenon_H26c zenon_H1a2 zenon_H18f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.32 apply (zenon_L1013_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.32 apply (zenon_L1018_); trivial. % 1.19/1.32 apply (zenon_L725_); trivial. % 1.19/1.32 apply (zenon_L940_); trivial. % 1.19/1.32 (* end of lemma zenon_L1019_ *) % 1.19/1.32 assert (zenon_L1020_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c1_1 (a132))) -> (~(c0_1 (a132))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H27a zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H78 zenon_H77 zenon_H76 zenon_H12 zenon_H13 zenon_H14 zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.32 apply (zenon_L286_); trivial. % 1.19/1.32 apply (zenon_L803_); trivial. % 1.19/1.32 (* end of lemma zenon_L1020_ *) % 1.19/1.32 assert (zenon_L1021_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H8f zenon_H27d zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H12 zenon_H13 zenon_H14 zenon_H257. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.32 apply (zenon_L487_); trivial. % 1.19/1.32 apply (zenon_L1020_); trivial. % 1.19/1.32 (* end of lemma zenon_L1021_ *) % 1.19/1.32 assert (zenon_L1022_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H94 zenon_H27d zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H12 zenon_H13 zenon_H14 zenon_H257 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_L473_); trivial. % 1.19/1.32 apply (zenon_L1021_); trivial. % 1.19/1.32 (* end of lemma zenon_L1022_ *) % 1.19/1.32 assert (zenon_L1023_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 1.19/1.32 do 0 intro. intros zenon_H10c zenon_H23c zenon_H25b zenon_H25a zenon_H259 zenon_H280 zenon_H27f zenon_H27e zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hf5 zenon_H2d zenon_H97. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H23d ]. % 1.19/1.32 apply (zenon_L280_); trivial. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H9b ]. % 1.19/1.32 apply (zenon_L388_); trivial. % 1.19/1.32 apply (zenon_L479_); trivial. % 1.19/1.32 (* end of lemma zenon_L1023_ *) % 1.19/1.32 assert (zenon_L1024_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H174 zenon_H111 zenon_H23c zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.32 apply (zenon_L469_); trivial. % 1.19/1.32 apply (zenon_L1023_); trivial. % 1.19/1.32 (* end of lemma zenon_L1024_ *) % 1.19/1.32 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.32 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H259 zenon_H25a zenon_H25b zenon_H27e zenon_H27f zenon_H280 zenon_H1ce zenon_H2d zenon_Hf5 zenon_H23c zenon_H111. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.32 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.32 apply (zenon_L477_); trivial. % 1.19/1.32 apply (zenon_L1023_); trivial. % 1.19/1.32 apply (zenon_L1024_); trivial. % 1.19/1.32 (* end of lemma zenon_L1025_ *) % 1.19/1.32 assert (zenon_L1026_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.19/1.32 do 0 intro. intros zenon_H296 zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H146 zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H99 zenon_H97 zenon_H111 zenon_H23c zenon_Hf5 zenon_H1ce zenon_H1a2 zenon_H1f0 zenon_H173 zenon_Hbf zenon_H27d zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.32 apply (zenon_L473_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.32 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.32 apply (zenon_L487_); trivial. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.32 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.32 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.32 apply (zenon_L37_); trivial. % 1.19/1.32 apply (zenon_L1025_); trivial. % 1.19/1.32 apply (zenon_L490_); trivial. % 1.19/1.32 (* end of lemma zenon_L1026_ *) % 1.19/1.32 assert (zenon_L1027_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H100 zenon_Hc0. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L67_); trivial. % 1.19/1.33 apply (zenon_L480_); trivial. % 1.19/1.33 apply (zenon_L62_); trivial. % 1.19/1.33 apply (zenon_L803_); trivial. % 1.19/1.33 (* end of lemma zenon_L1027_ *) % 1.19/1.33 assert (zenon_L1028_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H173 zenon_H111 zenon_H23c zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_L468_); trivial. % 1.19/1.33 apply (zenon_L1024_); trivial. % 1.19/1.33 (* end of lemma zenon_L1028_ *) % 1.19/1.33 assert (zenon_L1029_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H27d zenon_H18d zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H163 zenon_H1a2 zenon_H27e zenon_H27f zenon_H280 zenon_H1ce zenon_H2d zenon_H97 zenon_Hf5 zenon_H23c zenon_H111 zenon_H173 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H12 zenon_H13 zenon_H14 zenon_H257. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L487_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L1028_); trivial. % 1.19/1.33 apply (zenon_L141_); trivial. % 1.19/1.33 (* end of lemma zenon_L1029_ *) % 1.19/1.33 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a117)) -> (c0_1 (a117)) -> (~(c1_1 (a117))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H296 zenon_H74 zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H100 zenon_Hc0 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H257 zenon_H14 zenon_H13 zenon_H12 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H173 zenon_H111 zenon_H23c zenon_Hf5 zenon_H97 zenon_H1ce zenon_H1a2 zenon_H163 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H18d zenon_H27d. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1029_); trivial. % 1.19/1.33 apply (zenon_L534_); trivial. % 1.19/1.33 (* end of lemma zenon_L1030_ *) % 1.19/1.33 assert (zenon_L1031_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> (~(hskp5)) -> (~(hskp13)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H22 zenon_H295 zenon_H257 zenon_H23c zenon_H27d zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H100 zenon_Hc0 zenon_H173 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H1a2 zenon_H163 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H13c zenon_H11c zenon_Hbf zenon_H18d zenon_H74 zenon_H1 zenon_Hb zenon_Hd. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L7_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1027_); trivial. % 1.19/1.33 apply (zenon_L534_); trivial. % 1.19/1.33 apply (zenon_L1030_); trivial. % 1.19/1.33 (* end of lemma zenon_L1031_ *) % 1.19/1.33 assert (zenon_L1032_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H74 zenon_H5c zenon_H55 zenon_H54 zenon_H53 zenon_H195 zenon_H194 zenon_H193 zenon_Hc0 zenon_H100 zenon_H1ce zenon_H97 zenon_Hf5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1027_); trivial. % 1.19/1.33 apply (zenon_L145_); trivial. % 1.19/1.33 (* end of lemma zenon_L1032_ *) % 1.19/1.33 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H1d zenon_H295 zenon_H257 zenon_H173 zenon_H23c zenon_H1a2 zenon_H163 zenon_H188 zenon_H18d zenon_H27d zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H100 zenon_Hc0 zenon_H193 zenon_H194 zenon_H195 zenon_H53 zenon_H54 zenon_H55 zenon_H5c zenon_H74. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_L1032_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1029_); trivial. % 1.19/1.33 apply (zenon_L145_); trivial. % 1.19/1.33 (* end of lemma zenon_L1033_ *) % 1.19/1.33 assert (zenon_L1034_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c1_1 (a109)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H5c zenon_Hd zenon_H1 zenon_H127 zenon_H173 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hc0 zenon_H193 zenon_H194 zenon_H195 zenon_H188 zenon_H100 zenon_H13c zenon_H11c zenon_Hbf zenon_H121 zenon_H18d zenon_H74 zenon_H22. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L7_); trivial. % 1.19/1.33 apply (zenon_L536_); trivial. % 1.19/1.33 apply (zenon_L166_); trivial. % 1.19/1.33 (* end of lemma zenon_L1034_ *) % 1.19/1.33 assert (zenon_L1035_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp20)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H255 zenon_H243 zenon_H245 zenon_H257 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L572_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L541_); trivial. % 1.19/1.33 apply (zenon_L542_); trivial. % 1.19/1.33 (* end of lemma zenon_L1035_ *) % 1.19/1.33 assert (zenon_L1036_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp20)) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_H10d zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H255 zenon_H178 zenon_H179 zenon_H17a zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.19/1.33 apply (zenon_L307_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.19/1.33 apply (zenon_L546_); trivial. % 1.19/1.33 apply (zenon_L68_); trivial. % 1.19/1.33 (* end of lemma zenon_L1036_ *) % 1.19/1.33 assert (zenon_L1037_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a143)) -> (~(c2_1 (a143))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H111 zenon_H10d zenon_H255 zenon_H257 zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H13c zenon_H95 zenon_H17a zenon_H179 zenon_H178 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H68 zenon_H6a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L545_); trivial. % 1.19/1.33 apply (zenon_L1036_); trivial. % 1.19/1.33 (* end of lemma zenon_L1037_ *) % 1.19/1.33 assert (zenon_L1038_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L307_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L541_); trivial. % 1.19/1.33 apply (zenon_L39_); trivial. % 1.19/1.33 (* end of lemma zenon_L1038_ *) % 1.19/1.33 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp20)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hbc zenon_Haf zenon_H255 zenon_H243 zenon_H245 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L572_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L42_); trivial. % 1.19/1.33 apply (zenon_L39_); trivial. % 1.19/1.33 (* end of lemma zenon_L1039_ *) % 1.19/1.33 assert (zenon_L1040_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H18d zenon_H121 zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H10d zenon_H244 zenon_H2f zenon_H24c zenon_H13c zenon_H68 zenon_H6a zenon_H100 zenon_Hc0 zenon_Hbf zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H257 zenon_H255 zenon_H245 zenon_H243 zenon_H1ce zenon_Haf zenon_H111 zenon_H173. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_L468_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1035_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L1037_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L67_); trivial. % 1.19/1.33 apply (zenon_L1038_); trivial. % 1.19/1.33 apply (zenon_L1039_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L1037_); trivial. % 1.19/1.33 apply (zenon_L72_); trivial. % 1.19/1.33 (* end of lemma zenon_L1040_ *) % 1.19/1.33 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hbc zenon_H111 zenon_Haf zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H1ce zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H13c zenon_H95 zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H10. zenon_intro zenon_Hbd. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L582_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L307_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L541_); trivial. % 1.19/1.33 apply (zenon_L373_); trivial. % 1.19/1.33 (* end of lemma zenon_L1041_ *) % 1.19/1.33 assert (zenon_L1042_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H174 zenon_H111 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H1ce zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1038_); trivial. % 1.19/1.33 (* end of lemma zenon_L1042_ *) % 1.19/1.33 assert (zenon_L1043_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H111 zenon_Haf zenon_H1ce zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H161 zenon_H163. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_L468_); trivial. % 1.19/1.33 apply (zenon_L1042_); trivial. % 1.19/1.33 (* end of lemma zenon_L1043_ *) % 1.19/1.33 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp20)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H255 zenon_H243 zenon_H245 zenon_H257 zenon_H97 zenon_H2d zenon_Hf5 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L572_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L479_); trivial. % 1.19/1.33 apply (zenon_L39_); trivial. % 1.19/1.33 (* end of lemma zenon_L1044_ *) % 1.19/1.33 assert (zenon_L1045_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H174 zenon_H111 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H243 zenon_H245 zenon_H255 zenon_H257 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1044_); trivial. % 1.19/1.33 (* end of lemma zenon_L1045_ *) % 1.19/1.33 assert (zenon_L1046_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H257 zenon_H255 zenon_H245 zenon_H243 zenon_H1ce zenon_H2d zenon_Hf5 zenon_Haf zenon_H111. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L477_); trivial. % 1.19/1.33 apply (zenon_L1044_); trivial. % 1.19/1.33 apply (zenon_L1045_); trivial. % 1.19/1.33 (* end of lemma zenon_L1046_ *) % 1.19/1.33 assert (zenon_L1047_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a118)) -> (c2_1 (a118)) -> (c3_1 (a118)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H244 zenon_H245 zenon_H243 zenon_H27e zenon_H27f zenon_H280 zenon_H259 zenon_H25a zenon_H25b zenon_H23c zenon_H97 zenon_H2d zenon_Hf5 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_Ha6 zenon_Ha7 zenon_Ha8. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L390_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L479_); trivial. % 1.19/1.33 apply (zenon_L39_); trivial. % 1.19/1.33 (* end of lemma zenon_L1047_ *) % 1.19/1.33 assert (zenon_L1048_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a118)) -> (c2_1 (a118)) -> (c1_1 (a118)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H174 zenon_H111 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_Hf5 zenon_H97 zenon_H2d zenon_H1ce zenon_H259 zenon_H25a zenon_H25b zenon_H27e zenon_H27f zenon_H280 zenon_H243 zenon_H245 zenon_H244 zenon_H23c zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1047_); trivial. % 1.19/1.33 (* end of lemma zenon_L1048_ *) % 1.19/1.33 assert (zenon_L1049_ : ((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hc2 zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H1ce zenon_H2d zenon_Hf5 zenon_Haf zenon_H111. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L477_); trivial. % 1.19/1.33 apply (zenon_L1047_); trivial. % 1.19/1.33 apply (zenon_L1048_); trivial. % 1.19/1.33 (* end of lemma zenon_L1049_ *) % 1.19/1.33 assert (zenon_L1050_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp30)) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H111 zenon_Haf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1ce zenon_H259 zenon_H25a zenon_H25b zenon_H27e zenon_H27f zenon_H280 zenon_H243 zenon_H245 zenon_H244 zenon_H23c zenon_Hb1 zenon_Hfe zenon_H100. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L67_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L390_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L541_); trivial. % 1.19/1.33 apply (zenon_L585_); trivial. % 1.19/1.33 (* end of lemma zenon_L1050_ *) % 1.19/1.33 assert (zenon_L1051_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hc0 zenon_H100 zenon_Hfe zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Haf zenon_H111. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_L1050_); trivial. % 1.19/1.33 apply (zenon_L436_); trivial. % 1.19/1.33 (* end of lemma zenon_L1051_ *) % 1.19/1.33 assert (zenon_L1052_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H27a zenon_H18d zenon_Hbf zenon_H6a zenon_H68 zenon_H13c zenon_Hc0 zenon_H100 zenon_H23c zenon_H244 zenon_H245 zenon_H243 zenon_H280 zenon_H27f zenon_H27e zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Haf zenon_H111 zenon_H163 zenon_H1a2 zenon_H49 zenon_H4a zenon_H4b zenon_H11c zenon_H173 zenon_H121. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_L1051_); trivial. % 1.19/1.33 apply (zenon_L592_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_L1051_); trivial. % 1.19/1.33 apply (zenon_L587_); trivial. % 1.19/1.33 (* end of lemma zenon_L1052_ *) % 1.19/1.33 assert (zenon_L1053_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H18d zenon_Hbf zenon_H1f0 zenon_H245 zenon_H243 zenon_Haf zenon_H6a zenon_H68 zenon_H13c zenon_H76 zenon_H77 zenon_H78 zenon_H257 zenon_H255 zenon_H10d zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H1ce zenon_H2d zenon_H97 zenon_Hf5 zenon_H111 zenon_H173. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L496_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L548_); trivial. % 1.19/1.33 apply (zenon_L1046_); trivial. % 1.19/1.33 (* end of lemma zenon_L1053_ *) % 1.19/1.33 assert (zenon_L1054_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H295 zenon_H1f0 zenon_H74 zenon_H27d zenon_H23c zenon_H173 zenon_Haf zenon_H243 zenon_H245 zenon_H257 zenon_H1a2 zenon_H163 zenon_Hbf zenon_H6a zenon_H68 zenon_H13c zenon_H24c zenon_H244 zenon_H10d zenon_H11c zenon_H18d zenon_Hc0 zenon_H100 zenon_H1ce zenon_H97 zenon_Hf5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H94. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1027_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L1040_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L67_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L307_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L541_); trivial. % 1.19/1.33 apply (zenon_L542_); trivial. % 1.19/1.33 apply (zenon_L1041_); trivial. % 1.19/1.33 apply (zenon_L1043_); trivial. % 1.19/1.33 apply (zenon_L592_); trivial. % 1.19/1.33 apply (zenon_L588_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1027_); trivial. % 1.19/1.33 apply (zenon_L557_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L496_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L1037_); trivial. % 1.19/1.33 apply (zenon_L1046_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L1028_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L545_); trivial. % 1.19/1.33 apply (zenon_L580_); trivial. % 1.19/1.33 apply (zenon_L1049_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L1040_); trivial. % 1.19/1.33 apply (zenon_L1052_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L1053_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L1028_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L555_); trivial. % 1.19/1.33 apply (zenon_L1049_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L551_); trivial. % 1.19/1.33 apply (zenon_L1052_); trivial. % 1.19/1.33 (* end of lemma zenon_L1054_ *) % 1.19/1.33 assert (zenon_L1055_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hd9 zenon_H90 zenon_H8d zenon_Hcf zenon_H94 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H100 zenon_Hc0 zenon_H18d zenon_H11c zenon_H10d zenon_H244 zenon_H24c zenon_H13c zenon_H6a zenon_Hbf zenon_H163 zenon_H1a2 zenon_H257 zenon_H245 zenon_H243 zenon_Haf zenon_H173 zenon_H23c zenon_H27d zenon_H74 zenon_H1f0 zenon_H295. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_L1054_); trivial. % 1.19/1.33 apply (zenon_L474_); trivial. % 1.19/1.33 (* end of lemma zenon_L1055_ *) % 1.19/1.33 assert (zenon_L1056_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (ndr1_0) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H94 zenon_H74 zenon_H11c zenon_H1ce zenon_H97 zenon_Hf5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_H10 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L902_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1027_); trivial. % 1.19/1.33 apply (zenon_L74_); trivial. % 1.19/1.33 (* end of lemma zenon_L1056_ *) % 1.19/1.33 assert (zenon_L1057_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a105)) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H27d zenon_H23c zenon_H244 zenon_H280 zenon_H27f zenon_H27e zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_Haf zenon_Hf5 zenon_H2d zenon_H1ce zenon_H243 zenon_H245 zenon_H257 zenon_H1a2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H97 zenon_H1f0 zenon_H173 zenon_Hbf. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L64_); trivial. % 1.19/1.33 apply (zenon_L1046_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L64_); trivial. % 1.19/1.33 apply (zenon_L1049_); trivial. % 1.19/1.33 (* end of lemma zenon_L1057_ *) % 1.19/1.33 assert (zenon_L1058_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (c2_1 (a105)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H8f zenon_H74 zenon_H121 zenon_H11c zenon_H10d zenon_H100 zenon_Hc0 zenon_Hbf zenon_H173 zenon_H1f0 zenon_H97 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H1a2 zenon_H257 zenon_H245 zenon_H243 zenon_H1ce zenon_Hf5 zenon_Haf zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H27e zenon_H27f zenon_H280 zenon_H244 zenon_H23c zenon_H27d. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L1057_); trivial. % 1.19/1.33 apply (zenon_L74_); trivial. % 1.19/1.33 (* end of lemma zenon_L1058_ *) % 1.19/1.33 assert (zenon_L1059_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> (~(c3_1 (a116))) -> (c0_1 (a116)) -> (c2_1 (a116)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H295 zenon_H173 zenon_H1f0 zenon_H1a2 zenon_H257 zenon_H23c zenon_H27d zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_Hcf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_Hf5 zenon_H97 zenon_H1ce zenon_H11c zenon_H74 zenon_H94. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_L1056_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L473_); trivial. % 1.19/1.33 apply (zenon_L1058_); trivial. % 1.19/1.33 (* end of lemma zenon_L1059_ *) % 1.19/1.33 assert (zenon_L1060_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H94 zenon_H27d zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H146 zenon_H23c zenon_Haf zenon_H13c zenon_H100 zenon_Hc0 zenon_Hbf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L272_); trivial. % 1.19/1.33 apply (zenon_L1021_); trivial. % 1.19/1.33 (* end of lemma zenon_L1060_ *) % 1.19/1.33 assert (zenon_L1061_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a132))) -> (~(c1_1 (a132))) -> (c3_1 (a132)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H6c zenon_H27d zenon_H121 zenon_Hbf zenon_H11c zenon_H13c zenon_H76 zenon_H77 zenon_H78 zenon_H146 zenon_H111 zenon_Haf zenon_H1ce zenon_H27e zenon_H27f zenon_H280 zenon_H243 zenon_H245 zenon_H244 zenon_H23c zenon_H100 zenon_Hc0 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H12 zenon_H13 zenon_H14 zenon_H257. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L487_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_L1051_); trivial. % 1.19/1.33 apply (zenon_L488_); trivial. % 1.19/1.33 (* end of lemma zenon_L1061_ *) % 1.19/1.33 assert (zenon_L1062_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> (~(c1_1 (a117))) -> (c0_1 (a117)) -> (c3_1 (a117)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H296 zenon_H94 zenon_H74 zenon_H121 zenon_H11c zenon_H13c zenon_H146 zenon_H100 zenon_Hc0 zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H99 zenon_H97 zenon_H111 zenon_Haf zenon_Hf5 zenon_H1ce zenon_H23c zenon_H1a2 zenon_H1f0 zenon_H173 zenon_Hbf zenon_H27d zenon_H12 zenon_H13 zenon_H14 zenon_H243 zenon_H244 zenon_H245 zenon_H24c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L272_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L487_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L37_); trivial. % 1.19/1.33 apply (zenon_L1049_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 (* end of lemma zenon_L1062_ *) % 1.19/1.33 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H1d zenon_H295 zenon_H74 zenon_H11c zenon_H1ce zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_H24c zenon_H245 zenon_H244 zenon_H243 zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H13c zenon_Haf zenon_H23c zenon_H146 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H27d zenon_H94. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_L1060_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L272_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L78_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 (* end of lemma zenon_L1063_ *) % 1.19/1.33 assert (zenon_L1064_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(hskp24)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hc0 zenon_H23c zenon_H280 zenon_H27f zenon_H27e zenon_H25b zenon_H25a zenon_H259 zenon_H100 zenon_Hfe zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10d zenon_H111. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_L327_); trivial. % 1.19/1.33 apply (zenon_L436_); trivial. % 1.19/1.33 (* end of lemma zenon_L1064_ *) % 1.19/1.33 assert (zenon_L1065_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a135)) -> (~(c3_1 (a135))) -> (~(c2_1 (a135))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H27a zenon_H121 zenon_Hbf zenon_H11c zenon_H4b zenon_H4a zenon_H49 zenon_H9 zenon_Hfa zenon_H111 zenon_H10d zenon_Hdf zenon_Hde zenon_Hdd zenon_H243 zenon_H245 zenon_H244 zenon_H2f zenon_H24c zenon_H100 zenon_H27e zenon_H27f zenon_H280 zenon_H23c zenon_Hc0. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_L1064_); trivial. % 1.19/1.33 apply (zenon_L73_); trivial. % 1.19/1.33 (* end of lemma zenon_L1065_ *) % 1.19/1.33 assert (zenon_L1066_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H6c zenon_H27d zenon_H27e zenon_H27f zenon_H280 zenon_H23c zenon_Hbf zenon_Hc0 zenon_Haf zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H257 zenon_H100 zenon_H24c zenon_H2f zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hdd zenon_Hde zenon_Hdf zenon_H9 zenon_Hfa zenon_H11c zenon_H121. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.33 apply (zenon_L64_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.33 apply (zenon_L327_); trivial. % 1.19/1.33 apply (zenon_L1039_); trivial. % 1.19/1.33 apply (zenon_L73_); trivial. % 1.19/1.33 apply (zenon_L1065_); trivial. % 1.19/1.33 (* end of lemma zenon_L1066_ *) % 1.19/1.33 assert (zenon_L1067_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H295 zenon_H257 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H23c zenon_H27d zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hfa zenon_H9 zenon_Hdf zenon_Hde zenon_Hdd zenon_H10 zenon_H111 zenon_H10d zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H100 zenon_Haf zenon_Hc0 zenon_Hbf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H11c zenon_H74 zenon_H94. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_L902_); trivial. % 1.19/1.33 apply (zenon_L82_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.33 apply (zenon_L78_); trivial. % 1.19/1.33 apply (zenon_L1066_); trivial. % 1.19/1.33 apply (zenon_L82_); trivial. % 1.19/1.33 (* end of lemma zenon_L1067_ *) % 1.19/1.33 assert (zenon_L1068_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp17)) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H2f zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L307_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L512_); trivial. % 1.19/1.33 apply (zenon_L505_); trivial. % 1.19/1.33 (* end of lemma zenon_L1068_ *) % 1.19/1.33 assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H8f zenon_H18d zenon_H6a zenon_H68 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1a2 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_H173. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_L519_); trivial. % 1.19/1.33 apply (zenon_L500_); trivial. % 1.19/1.33 (* end of lemma zenon_L1069_ *) % 1.19/1.33 assert (zenon_L1070_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (ndr1_0) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H94 zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H1a2 zenon_H10 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H68 zenon_H6a zenon_H18d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_L468_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1068_); trivial. % 1.19/1.33 apply (zenon_L500_); trivial. % 1.19/1.33 apply (zenon_L1069_); trivial. % 1.19/1.33 (* end of lemma zenon_L1070_ *) % 1.19/1.33 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp20)) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H10c zenon_Haf zenon_H255 zenon_H243 zenon_H245 zenon_H257 zenon_H1ce zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H20b zenon_H20a zenon_H209. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10. zenon_intro zenon_H10e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb0 ]. % 1.19/1.33 apply (zenon_L572_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha5 ]. % 1.19/1.33 apply (zenon_L512_); trivial. % 1.19/1.33 apply (zenon_L505_); trivial. % 1.19/1.33 (* end of lemma zenon_L1071_ *) % 1.19/1.33 assert (zenon_L1072_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H18d zenon_H6a zenon_H68 zenon_H163 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H10 zenon_H1a2 zenon_H257 zenon_H255 zenon_H245 zenon_H243 zenon_H1ce zenon_H20b zenon_H20a zenon_H209 zenon_Haf zenon_H111 zenon_H173. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.33 apply (zenon_L468_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H10. zenon_intro zenon_H175. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H165. zenon_intro zenon_H176. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H16e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfc | zenon_intro zenon_H10c ]. % 1.19/1.33 apply (zenon_L469_); trivial. % 1.19/1.33 apply (zenon_L1071_); trivial. % 1.19/1.33 apply (zenon_L500_); trivial. % 1.19/1.33 (* end of lemma zenon_L1072_ *) % 1.19/1.33 assert (zenon_L1073_ : ((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hd8 zenon_Hd9 zenon_H94 zenon_Hcf zenon_H27d zenon_H1af zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H243 zenon_H245 zenon_H257 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_H6a zenon_H18d zenon_H1c5. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.19/1.33 apply (zenon_L1072_); trivial. % 1.19/1.33 apply (zenon_L354_); trivial. % 1.19/1.33 apply (zenon_L515_); trivial. % 1.19/1.33 apply (zenon_L516_); trivial. % 1.19/1.33 (* end of lemma zenon_L1073_ *) % 1.19/1.33 assert (zenon_L1074_ : ((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a104)) -> (c0_1 (a104)) -> (~(c1_1 (a104))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hd5 zenon_H22 zenon_H13c zenon_H146 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_Hcf zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H173 zenon_H111 zenon_Haf zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1a2 zenon_H163 zenon_Hbf zenon_Hc0 zenon_H100 zenon_H10d zenon_Hfa zenon_H11c zenon_H121 zenon_H18d zenon_H74 zenon_H94. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L524_); trivial. % 1.19/1.33 apply (zenon_L597_); trivial. % 1.19/1.33 (* end of lemma zenon_L1074_ *) % 1.19/1.33 assert (zenon_L1075_ : ((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> (~(c1_1 (a104))) -> (c0_1 (a104)) -> (c2_1 (a104)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H18e zenon_H18f zenon_H74 zenon_H121 zenon_H11c zenon_H10d zenon_H100 zenon_Hc0 zenon_H127 zenon_H22 zenon_H94 zenon_H13c zenon_Haf zenon_H146 zenon_H243 zenon_H244 zenon_H245 zenon_H24c zenon_H173 zenon_H111 zenon_H155 zenon_H1a2 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H163 zenon_Hfa zenon_H209 zenon_H20a zenon_H20b zenon_H1ce zenon_H1f0 zenon_Hbf zenon_H18d zenon_H1c5 zenon_H6a zenon_H257 zenon_H1af zenon_H27d zenon_Hcf zenon_Hd9 zenon_Hdc. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L503_); trivial. % 1.19/1.33 apply (zenon_L597_); trivial. % 1.19/1.33 apply (zenon_L1073_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_L501_); trivial. % 1.19/1.33 apply (zenon_L1074_); trivial. % 1.19/1.33 apply (zenon_L1073_); trivial. % 1.19/1.33 (* end of lemma zenon_L1075_ *) % 1.19/1.33 assert (zenon_L1076_ : ((ndr1_0)/\((c0_1 (a104))/\((c2_1 (a104))/\(~(c1_1 (a104)))))) -> ((~(hskp4))\/((ndr1_0)/\((c2_1 (a105))/\((c3_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a111)))/\((~(c2_1 (a111)))/\(~(c3_1 (a111))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((hskp15)\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18)))))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp25)\/(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a106))/\((c1_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H2ef zenon_H2b7 zenon_H24c zenon_H206 zenon_H192 zenon_H155 zenon_Hd zenon_H5c zenon_Hdc zenon_H19c zenon_H1e zenon_H126 zenon_H22 zenon_H295 zenon_H99 zenon_H257 zenon_H13c zenon_H23c zenon_H146 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H27d zenon_Hbf zenon_H1f0 zenon_H1ce zenon_Hf5 zenon_Hfa zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H11c zenon_H121 zenon_H74 zenon_H18d zenon_H188 zenon_H35 zenon_H163 zenon_H1a2 zenon_H1e6 zenon_H6a zenon_H111 zenon_H173 zenon_H6d zenon_Hcf zenon_H90 zenon_H94 zenon_Hd9 zenon_H127 zenon_H18f zenon_H13a zenon_H1af zenon_H1c5 zenon_H299 zenon_H2b8. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H10. zenon_intro zenon_H2f0. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2a8. zenon_intro zenon_H2f1. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2a9. zenon_intro zenon_H2a7. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.33 apply (zenon_L475_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_L476_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L483_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.33 apply (zenon_L1022_); trivial. % 1.19/1.33 apply (zenon_L1026_); trivial. % 1.19/1.33 apply (zenon_L492_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.33 apply (zenon_L134_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.33 apply (zenon_L1031_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L497_); trivial. % 1.19/1.33 apply (zenon_L1033_); trivial. % 1.19/1.33 apply (zenon_L1034_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_L800_); trivial. % 1.19/1.33 apply (zenon_L914_); trivial. % 1.19/1.33 apply (zenon_L527_); trivial. % 1.19/1.33 apply (zenon_L538_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.33 apply (zenon_L1055_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.33 apply (zenon_L1054_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.33 apply (zenon_L1059_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_L1060_); trivial. % 1.19/1.34 apply (zenon_L1062_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L7_); trivial. % 1.19/1.34 apply (zenon_L1063_); trivial. % 1.19/1.34 apply (zenon_L594_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L1067_); trivial. % 1.19/1.34 apply (zenon_L1063_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_L1070_); trivial. % 1.19/1.34 apply (zenon_L914_); trivial. % 1.19/1.34 apply (zenon_L1075_); trivial. % 1.19/1.34 (* end of lemma zenon_L1076_ *) % 1.19/1.34 assert (zenon_L1077_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hbf zenon_H2d0 zenon_H178 zenon_H179 zenon_H17a zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ec zenon_H1ee zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L679_); trivial. % 1.19/1.34 apply (zenon_L763_); trivial. % 1.19/1.34 (* end of lemma zenon_L1077_ *) % 1.19/1.34 assert (zenon_L1078_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H18a zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_Hbf zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L1077_); trivial. % 1.19/1.34 apply (zenon_L803_); trivial. % 1.19/1.34 apply (zenon_L733_); trivial. % 1.19/1.34 (* end of lemma zenon_L1078_ *) % 1.19/1.34 assert (zenon_L1079_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H94 zenon_Haf zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H2bd zenon_H2be zenon_H2bf zenon_H1b zenon_H2c6 zenon_H111 zenon_Hcf zenon_H173 zenon_H1a2 zenon_H13c zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2d0 zenon_Hbf zenon_H23e zenon_H3 zenon_H240 zenon_H201 zenon_H18d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.34 apply (zenon_L942_); trivial. % 1.19/1.34 apply (zenon_L1078_); trivial. % 1.19/1.34 apply (zenon_L943_); trivial. % 1.19/1.34 (* end of lemma zenon_L1079_ *) % 1.19/1.34 assert (zenon_L1080_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp30)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> (~(c1_1 (a187))) -> (~(c2_1 (a187))) -> (c0_1 (a187)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp12)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.19/1.34 do 0 intro. intros zenon_H10d zenon_Hb1 zenon_H2be zenon_H2bd zenon_H2bf zenon_Hec zenon_Hed zenon_Hee zenon_Hc1 zenon_H8d zenon_H53 zenon_H54 zenon_H55 zenon_H27e zenon_H27f zenon_H280 zenon_H13a zenon_H1ee zenon_H1b3 zenon_H1b1 zenon_H2dd zenon_H2dc zenon_H2db zenon_H10 zenon_H1ec. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H75 | zenon_intro zenon_H110 ]. % 1.19/1.34 apply (zenon_L610_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H3a | zenon_intro zenon_H102 ]. % 1.19/1.34 apply (zenon_L413_); trivial. % 1.19/1.34 apply (zenon_L739_); trivial. % 1.19/1.34 (* end of lemma zenon_L1080_ *) % 1.19/1.34 assert (zenon_L1081_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (c2_1 (a102)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a114)) -> (c1_1 (a114)) -> (~(c3_1 (a114))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(c2_1 (a126))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H2d zenon_Hc1 zenon_H2bf zenon_H2bd zenon_H2be zenon_H13a zenon_H8d zenon_H55 zenon_H54 zenon_H53 zenon_H280 zenon_H27f zenon_H27e zenon_H1ee zenon_H1ec zenon_H2dd zenon_H2dc zenon_H2db zenon_H1b3 zenon_H1b1 zenon_H10d zenon_H97 zenon_H3 zenon_H214. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.19/1.34 apply (zenon_L196_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.19/1.34 apply (zenon_L1080_); trivial. % 1.19/1.34 apply (zenon_L62_); trivial. % 1.19/1.34 (* end of lemma zenon_L1081_ *) % 1.19/1.34 assert (zenon_L1082_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a134)) -> (c3_1 (a134)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(c2_1 (a126))) -> (c1_1 (a126)) -> (c3_1 (a126)) -> (~(c3_1 (a114))) -> (c1_1 (a114)) -> (c2_1 (a114)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (c2_1 (a102)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H201 zenon_H240 zenon_H23e zenon_H214 zenon_H3 zenon_H97 zenon_H10d zenon_H1b1 zenon_H1b3 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H27e zenon_H27f zenon_H280 zenon_H53 zenon_H54 zenon_H55 zenon_H8d zenon_H13a zenon_H2be zenon_H2bd zenon_H2bf zenon_Hc1 zenon_H2d zenon_Hf5 zenon_Hc0 zenon_H123. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.34 apply (zenon_L1081_); trivial. % 1.19/1.34 apply (zenon_L733_); trivial. % 1.19/1.34 (* end of lemma zenon_L1082_ *) % 1.19/1.34 assert (zenon_L1083_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a134)) -> (c3_1 (a134)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H1fc zenon_Hbf zenon_H2d0 zenon_H2c6 zenon_H1b zenon_H1b1 zenon_H1b3 zenon_H13c zenon_H2bf zenon_H2be zenon_H2bd zenon_H111. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L671_); trivial. % 1.19/1.34 apply (zenon_L668_); trivial. % 1.19/1.34 (* end of lemma zenon_L1083_ *) % 1.19/1.34 assert (zenon_L1084_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H18a zenon_H201 zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H13c zenon_H1b3 zenon_H1b1 zenon_H1b zenon_H2c6 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2d0 zenon_Hbf. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L671_); trivial. % 1.19/1.34 apply (zenon_L763_); trivial. % 1.19/1.34 apply (zenon_L1083_); trivial. % 1.19/1.34 (* end of lemma zenon_L1084_ *) % 1.19/1.34 assert (zenon_L1085_ : ((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (c3_1 (a134)) -> (c0_1 (a134)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H6c zenon_H18d zenon_H201 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2d0 zenon_H173 zenon_H2f zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H13c zenon_H1b3 zenon_H1b1 zenon_H11c zenon_Hbf zenon_H121. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L647_); trivial. % 1.19/1.34 apply (zenon_L956_); trivial. % 1.19/1.34 apply (zenon_L1084_); trivial. % 1.19/1.34 (* end of lemma zenon_L1085_ *) % 1.19/1.34 assert (zenon_L1086_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp4)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H148 zenon_Hd9 zenon_H299 zenon_H295 zenon_H74 zenon_H11c zenon_Hfa zenon_H6a zenon_H127 zenon_H18d zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_Hbf zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H13c zenon_H1a2 zenon_H173 zenon_Hcf zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H163 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_Haf zenon_H94 zenon_H1e zenon_H22. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_L1079_); trivial. % 1.19/1.34 apply (zenon_L961_); trivial. % 1.19/1.34 apply (zenon_L11_); trivial. % 1.19/1.34 apply (zenon_L914_); trivial. % 1.19/1.34 (* end of lemma zenon_L1086_ *) % 1.19/1.34 assert (zenon_L1087_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c1_1 (a143))) -> (~(c2_1 (a143))) -> (c3_1 (a143)) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> (~(hskp24)) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H178 zenon_H179 zenon_H17a zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ec zenon_H1ee zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_Hfe zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L226_); trivial. % 1.19/1.34 apply (zenon_L763_); trivial. % 1.19/1.34 (* end of lemma zenon_L1087_ *) % 1.19/1.34 assert (zenon_L1088_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H1fc zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H1a2 zenon_H13c zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H10. zenon_intro zenon_H1fe. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f3. zenon_intro zenon_H1ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L759_); trivial. % 1.19/1.34 apply (zenon_L803_); trivial. % 1.19/1.34 (* end of lemma zenon_L1088_ *) % 1.19/1.34 assert (zenon_L1089_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> (~(hskp16)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H18a zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26a zenon_H26c zenon_H121. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L1087_); trivial. % 1.19/1.34 apply (zenon_L803_); trivial. % 1.19/1.34 apply (zenon_L1088_); trivial. % 1.19/1.34 (* end of lemma zenon_L1089_ *) % 1.19/1.34 assert (zenon_L1090_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H94 zenon_Haf zenon_H121 zenon_H26c zenon_H26a zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H1a2 zenon_H13c zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H18d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.34 apply (zenon_L867_); trivial. % 1.19/1.34 apply (zenon_L1089_); trivial. % 1.19/1.34 apply (zenon_L824_); trivial. % 1.19/1.34 (* end of lemma zenon_L1090_ *) % 1.19/1.34 assert (zenon_L1091_ : ((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c2_1 (a126))) -> (c3_1 (a126)) -> (c1_1 (a126)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a135))) -> (~(c3_1 (a135))) -> (c0_1 (a135)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H18a zenon_H201 zenon_H240 zenon_H3 zenon_H23e zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H27e zenon_H280 zenon_H27f zenon_H9 zenon_Hfa zenon_H49 zenon_H4a zenon_H4b zenon_H11c zenon_H121. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H10. zenon_intro zenon_H18b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17a. zenon_intro zenon_H18c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H178. zenon_intro zenon_H179. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L1087_); trivial. % 1.19/1.34 apply (zenon_L834_); trivial. % 1.19/1.34 apply (zenon_L733_); trivial. % 1.19/1.34 (* end of lemma zenon_L1091_ *) % 1.19/1.34 assert (zenon_L1092_ : ((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H296 zenon_H94 zenon_H10d zenon_Haf zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_H121 zenon_Hbf zenon_H11c zenon_Hfa zenon_H9 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H1a2 zenon_H13c zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H23e zenon_H3 zenon_H240 zenon_H201 zenon_H18d zenon_H74. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.34 apply (zenon_L78_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.19/1.34 apply (zenon_L993_); trivial. % 1.19/1.34 apply (zenon_L1091_); trivial. % 1.19/1.34 apply (zenon_L874_); trivial. % 1.19/1.34 (* end of lemma zenon_L1092_ *) % 1.19/1.34 assert (zenon_L1093_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a113)) -> (~(c2_1 (a113))) -> (~(c0_1 (a113))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H22 zenon_H201 zenon_H1a2 zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_Hb zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_H68 zenon_Hdf zenon_Hde zenon_Hdd zenon_Hc0 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L842_); trivial. % 1.19/1.34 apply (zenon_L761_); trivial. % 1.19/1.34 (* end of lemma zenon_L1093_ *) % 1.19/1.34 assert (zenon_L1094_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> (~(c2_1 (a112))) -> (~(c3_1 (a112))) -> (c1_1 (a112)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a113))) -> (~(c2_1 (a113))) -> (c3_1 (a113)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hd9 zenon_H94 zenon_Haf zenon_Hcf zenon_H10d zenon_H295 zenon_H74 zenon_Hbf zenon_H11c zenon_Hfa zenon_H12a zenon_H129 zenon_H128 zenon_H127 zenon_Hc0 zenon_Hdd zenon_Hde zenon_Hdf zenon_H6a zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_Hb zenon_H155 zenon_H111 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H13c zenon_H1a2 zenon_H201 zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_L1093_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L981_); trivial. % 1.19/1.34 apply (zenon_L761_); trivial. % 1.19/1.34 (* end of lemma zenon_L1094_ *) % 1.19/1.34 assert (zenon_L1095_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c3_1 (a111))) -> (~(c2_1 (a111))) -> (~(c0_1 (a111))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> (c1_1 (a112)) -> (~(c3_1 (a112))) -> (~(c2_1 (a112))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H240 zenon_H3 zenon_H23e zenon_H5c zenon_H22 zenon_H201 zenon_H1a2 zenon_H13c zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H155 zenon_H14e zenon_H14d zenon_H14c zenon_H100 zenon_H6a zenon_Hc0 zenon_H127 zenon_H128 zenon_H129 zenon_H12a zenon_Hfa zenon_H11c zenon_Hbf zenon_H74 zenon_H295 zenon_H10d zenon_Hcf zenon_Haf zenon_H94 zenon_Hd9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_L1094_); trivial. % 1.19/1.34 apply (zenon_L777_); trivial. % 1.19/1.34 (* end of lemma zenon_L1095_ *) % 1.19/1.34 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a116))/\((c2_1 (a116))/\(~(c3_1 (a116))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp29)\/(hskp21))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a143))/\((~(c1_1 (a143)))/\(~(c2_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H148 zenon_H126 zenon_H6a zenon_Hd9 zenon_H22 zenon_H94 zenon_Haf zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hc0 zenon_H163 zenon_H100 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H111 zenon_Hcf zenon_H173 zenon_H1a2 zenon_H13c zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H18d zenon_H74 zenon_H240 zenon_H3 zenon_H23e zenon_Hfa zenon_H11c zenon_H127 zenon_H10d zenon_H295 zenon_H13a zenon_H5c zenon_Hdc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_L1090_); trivial. % 1.19/1.34 apply (zenon_L1092_); trivial. % 1.19/1.34 apply (zenon_L734_); trivial. % 1.19/1.34 apply (zenon_L80_); trivial. % 1.19/1.34 apply (zenon_L1095_); trivial. % 1.19/1.34 (* end of lemma zenon_L1096_ *) % 1.19/1.34 assert (zenon_L1097_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp30))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> (~(c0_1 (a111))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H74 zenon_H5c zenon_H195 zenon_H194 zenon_H193 zenon_H123 zenon_Hc0 zenon_Hf5 zenon_H100 zenon_Hc1 zenon_H10d zenon_H111 zenon_H3 zenon_H214 zenon_Hfa zenon_H1af zenon_H121 zenon_H240 zenon_H23e zenon_H11c zenon_H14d zenon_H14e zenon_H14c zenon_H1c5 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_L732_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.34 apply (zenon_L616_); trivial. % 1.19/1.34 apply (zenon_L757_); trivial. % 1.19/1.34 apply (zenon_L731_); trivial. % 1.19/1.34 (* end of lemma zenon_L1097_ *) % 1.19/1.34 assert (zenon_L1098_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> (c1_1 (a106)) -> (c0_1 (a106)) -> (~(c2_1 (a106))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp26)\/((hskp11)\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2d0 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H123 zenon_H212 zenon_H20b zenon_H20a zenon_H209 zenon_H97 zenon_H3 zenon_H214 zenon_H1f0 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H2bd zenon_H2be zenon_H2bf zenon_H90 zenon_H1b zenon_H2c6 zenon_H173 zenon_H94. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_L997_); trivial. % 1.19/1.34 apply (zenon_L772_); trivial. % 1.19/1.34 (* end of lemma zenon_L1098_ *) % 1.19/1.34 assert (zenon_L1099_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> (~(c0_1 (a111))) -> (~(c2_1 (a111))) -> (~(c3_1 (a111))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp13))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((hskp26)\/((hskp11)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> (~(c2_1 (a106))) -> (c0_1 (a106)) -> (c1_1 (a106)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(~(c0_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a187))/\((~(c1_1 (a187)))/\(~(c2_1 (a187))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H126 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_Hbf zenon_Hc0 zenon_Haf zenon_H100 zenon_H10d zenon_H111 zenon_Hfa zenon_H11c zenon_H121 zenon_H94 zenon_H173 zenon_H90 zenon_H14c zenon_H14d zenon_H14e zenon_H155 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H1f0 zenon_H214 zenon_H3 zenon_H97 zenon_H209 zenon_H20a zenon_H20b zenon_H212 zenon_H123 zenon_H13a zenon_Hdc. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_L865_); trivial. % 1.19/1.34 apply (zenon_L772_); trivial. % 1.19/1.34 (* end of lemma zenon_L1099_ *) % 1.19/1.34 assert (zenon_L1100_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> (~(hskp11)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> (c3_1 (a101)) -> (c2_1 (a101)) -> (~(c0_1 (a101))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c0_1 X18))\/(~(c1_1 X18))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp19)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((hskp25)\/(hskp8)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp29)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(c2_1 (a128)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a167))/\((~(c0_1 (a167)))/\(~(c2_1 (a167))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H126 zenon_H1c5 zenon_Hfa zenon_H1af zenon_H22 zenon_H201 zenon_Hbf zenon_H2d0 zenon_H2bf zenon_H2be zenon_H2bd zenon_H97 zenon_H99 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H1 zenon_Hd zenon_H94 zenon_H121 zenon_H26c zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H111 zenon_H13a zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_Haf zenon_H100 zenon_Hf5 zenon_Hc0 zenon_H35 zenon_H33 zenon_H1f0 zenon_H5c zenon_H90 zenon_H10d zenon_H173 zenon_H6d zenon_H74 zenon_H295 zenon_Hdc. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_L732_); trivial. % 1.19/1.34 apply (zenon_L899_); trivial. % 1.19/1.34 apply (zenon_L781_); trivial. % 1.19/1.34 (* end of lemma zenon_L1100_ *) % 1.19/1.34 assert (zenon_L1101_ : ((ndr1_0)/\((c1_1 (a112))/\((~(c2_1 (a112)))/\(~(c3_1 (a112)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> (c1_1 (a103)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a105))) -> (c3_1 (a105)) -> (c2_1 (a105)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a102)) -> (~(c1_1 (a102))) -> (~(c0_1 (a102))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp31)\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((forall X59 : zenon_U, ((ndr1_0)->((~(c0_1 X59))\/((~(c1_1 X59))\/(~(c2_1 X59))))))\/(hskp31))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> (~(c0_1 (a101))) -> (c2_1 (a101)) -> (c3_1 (a101)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a135))/\((~(c2_1 (a135)))/\(~(c3_1 (a135))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c1_1 X45)\/((c2_1 X45)\/(c3_1 X45)))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((c3_1 X37)\/(~(c0_1 X37))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp19)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a126))/\((c3_1 (a126))/\(~(c2_1 (a126))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H148 zenon_H22 zenon_H201 zenon_H2d0 zenon_H2db zenon_H2dc zenon_H2dd zenon_H1ee zenon_H94 zenon_Hbf zenon_Haf zenon_H243 zenon_H245 zenon_H244 zenon_H24c zenon_H111 zenon_H2c6 zenon_H1b zenon_H2bf zenon_H2be zenon_H2bd zenon_H100 zenon_H13c zenon_H1a2 zenon_Hc0 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H26c zenon_H121 zenon_H74 zenon_H11c zenon_Hfa zenon_H127 zenon_H295. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L1018_); trivial. % 1.19/1.34 apply (zenon_L746_); trivial. % 1.19/1.34 (* end of lemma zenon_L1101_ *) % 1.19/1.34 assert (zenon_L1102_ : ((ndr1_0)/\((c3_1 (a113))/\((~(c0_1 (a113)))/\(~(c2_1 (a113)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a114))/\((c2_1 (a114))/\(~(c3_1 (a114))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a134))/\((c3_1 (a134))/\(~(c2_1 (a134))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a131))/\((c2_1 (a131))/\(c3_1 (a131)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((hskp31)\/((hskp30)\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X78 : zenon_U, ((ndr1_0)->((c1_1 X78)\/((~(c2_1 X78))\/(~(c3_1 X78))))))\/(hskp17))) -> (c2_1 (a105)) -> (c3_1 (a105)) -> (~(c1_1 (a105))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a141))/\((c1_1 (a141))/\(c3_1 (a141)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp15)\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c3_1 X60)\/(~(c0_1 X60))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c1_1 X38))\/(~(c2_1 X38))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a163)))/\((~(c2_1 (a163)))/\(~(c3_1 (a163))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c1_1 X33))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((c2_1 X29)\/(~(c3_1 X29))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c1_1 (a132))))))) -> ((hskp5)\/((hskp15)\/(hskp13))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c0_1 X80))\/(~(c1_1 X80))))))\/(hskp22))) -> (c1_1 (a103)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((~(c0_1 X35))\/(~(c3_1 X35))))))\/((hskp28)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a102))) -> (~(c1_1 (a102))) -> (c2_1 (a102)) -> ((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)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c1_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a118))/\((c2_1 (a118))/\(c3_1 (a118)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a117))/\((c3_1 (a117))/\(~(c1_1 (a117))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H122 zenon_Hdc zenon_H1c5 zenon_Hc0 zenon_Haf zenon_H100 zenon_H24c zenon_H244 zenon_H245 zenon_H243 zenon_H10d zenon_H111 zenon_Hfa zenon_H1af zenon_H121 zenon_H188 zenon_H195 zenon_H194 zenon_H193 zenon_H94 zenon_Hd zenon_H1 zenon_H1ee zenon_H2dd zenon_H2dc zenon_H2db zenon_H99 zenon_H97 zenon_H2bd zenon_H2be zenon_H2bf zenon_H2d0 zenon_Hbf zenon_H201 zenon_H22. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_L732_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L780_); trivial. % 1.19/1.34 apply (zenon_L705_); trivial. % 1.19/1.34 apply (zenon_L731_); trivial. % 1.19/1.34 (* end of lemma zenon_L1102_ *) % 1.19/1.34 apply NNPP. intro zenon_G. % 1.19/1.34 apply zenon_G. zenon_intro zenon_H2f2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f8. zenon_intro zenon_H2f7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2b7. zenon_intro zenon_H2fb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2b8. zenon_intro zenon_H2fc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2fe. zenon_intro zenon_H2fd. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H206. zenon_intro zenon_H301. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1c6. zenon_intro zenon_H302. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H192. zenon_intro zenon_H303. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H18f. zenon_intro zenon_H304. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H126. zenon_intro zenon_H305. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_Hdc. zenon_intro zenon_H306. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_Hd9. zenon_intro zenon_H307. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H22. zenon_intro zenon_H308. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H295. zenon_intro zenon_H309. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H94. zenon_intro zenon_H30a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H1c5. zenon_intro zenon_H30b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H74. zenon_intro zenon_H30c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H27d. zenon_intro zenon_H30d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H18d. zenon_intro zenon_H30e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H201. zenon_intro zenon_H30f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H311. zenon_intro zenon_H310. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H121. zenon_intro zenon_H312. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H6d. zenon_intro zenon_H313. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H123. zenon_intro zenon_H314. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Hbf. zenon_intro zenon_H317. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H173. zenon_intro zenon_H318. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_Hc0. zenon_intro zenon_H319. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H111. zenon_intro zenon_H31a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H2d0. zenon_intro zenon_H31b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1fd. zenon_intro zenon_H31c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H2ed. zenon_intro zenon_H31d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H2d7. zenon_intro zenon_H31e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H240. zenon_intro zenon_H31f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_Hd3. zenon_intro zenon_H320. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H6e. zenon_intro zenon_H321. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H323. zenon_intro zenon_H322. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H325. zenon_intro zenon_H324. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H2c6. zenon_intro zenon_H326. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H10d. zenon_intro zenon_H327. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H146. zenon_intro zenon_H328. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H32a. zenon_intro zenon_H329. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H90. zenon_intro zenon_H32b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_Haf. zenon_intro zenon_H32c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H155. zenon_intro zenon_H32d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H32f. zenon_intro zenon_H32e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H6a. zenon_intro zenon_H330. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_Hfa. zenon_intro zenon_H331. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H188. zenon_intro zenon_H332. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H5c. zenon_intro zenon_H333. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H1e6. zenon_intro zenon_H334. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H19c. zenon_intro zenon_H335. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H87. zenon_intro zenon_H336. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H338. zenon_intro zenon_H337. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H26c. zenon_intro zenon_H339. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H299. zenon_intro zenon_H33a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1f0. zenon_intro zenon_H33b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H11c. zenon_intro zenon_H33c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_Hc1. zenon_intro zenon_H33f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H212. zenon_intro zenon_H340. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H342. zenon_intro zenon_H341. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H23c. zenon_intro zenon_H343. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H1af. zenon_intro zenon_H344. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H31. zenon_intro zenon_H345. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H2d9. zenon_intro zenon_H346. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H257. zenon_intro zenon_H347. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1ce. zenon_intro zenon_H348. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_Hcf. zenon_intro zenon_H349. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H1a2. zenon_intro zenon_H34a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H163. zenon_intro zenon_H34b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H24c. zenon_intro zenon_H34c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H1ee. zenon_intro zenon_H34d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H13c. zenon_intro zenon_H34e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H350. zenon_intro zenon_H34f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H99. zenon_intro zenon_H351. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H353. zenon_intro zenon_H352. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H1e. zenon_intro zenon_H354. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H356. zenon_intro zenon_H355. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H127. zenon_intro zenon_H357. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H13a. zenon_intro zenon_H358. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H35a. zenon_intro zenon_H359. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H220. zenon_intro zenon_H35b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H361. zenon_intro zenon_H360. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H363. zenon_intro zenon_H362. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Hf5. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H366. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H100. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_Hd. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H7. zenon_intro zenon_H36b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Hea. zenon_intro zenon_H36c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H214. zenon_intro zenon_H36d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H35. zenon_intro zenon_H36e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H85 | zenon_intro zenon_H36f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H21e | zenon_intro zenon_H370 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H23e | zenon_intro zenon_H2ef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.19/1.34 apply (zenon_L131_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.19/1.34 apply (zenon_L168_); trivial. % 1.19/1.34 apply (zenon_L191_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.19/1.34 apply (zenon_L195_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L197_); trivial. % 1.19/1.34 apply (zenon_L209_); trivial. % 1.19/1.34 apply (zenon_L214_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L220_); trivial. % 1.19/1.34 apply (zenon_L11_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_L239_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_L246_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L250_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L251_); trivial. % 1.19/1.34 apply (zenon_L50_); trivial. % 1.19/1.34 apply (zenon_L233_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_L252_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L220_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L251_); trivial. % 1.19/1.34 apply (zenon_L237_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L256_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.34 apply (zenon_L78_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L216_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L265_); trivial. % 1.19/1.34 apply (zenon_L254_); trivial. % 1.19/1.34 apply (zenon_L237_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.34 apply (zenon_L134_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_L239_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L270_); trivial. % 1.19/1.34 apply (zenon_L165_); trivial. % 1.19/1.34 apply (zenon_L166_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_L361_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L7_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.19/1.34 apply (zenon_L78_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.19/1.34 apply (zenon_L364_); trivial. % 1.19/1.34 apply (zenon_L367_); trivial. % 1.19/1.34 apply (zenon_L80_); trivial. % 1.19/1.34 apply (zenon_L370_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_L372_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.19/1.34 apply (zenon_L320_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L7_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.34 apply (zenon_L381_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.34 apply (zenon_L381_); trivial. % 1.19/1.34 apply (zenon_L397_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L402_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_L397_); trivial. % 1.19/1.34 apply (zenon_L404_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.19/1.34 apply (zenon_L7_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.19/1.34 apply (zenon_L406_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_He6 | zenon_intro zenon_Hf7 ]. % 1.19/1.34 apply (zenon_L59_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H10. zenon_intro zenon_Hf8. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Hee. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_Hec. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.19/1.34 apply (zenon_L366_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_H10. zenon_intro zenon_Hc3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Ha6. zenon_intro zenon_Hc4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H15f | zenon_intro zenon_H174 ]. % 1.19/1.34 apply (zenon_L407_); trivial. % 1.19/1.34 apply (zenon_L409_); trivial. % 1.19/1.34 apply (zenon_L415_); trivial. % 1.19/1.34 apply (zenon_L419_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L7_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.34 apply (zenon_L406_); trivial. % 1.23/1.34 apply (zenon_L426_); trivial. % 1.23/1.34 apply (zenon_L308_); trivial. % 1.23/1.34 apply (zenon_L80_); trivial. % 1.23/1.34 apply (zenon_L370_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_L361_); trivial. % 1.23/1.34 apply (zenon_L433_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L372_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_L320_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L7_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_L272_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.34 apply (zenon_L381_); trivial. % 1.23/1.34 apply (zenon_L435_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_L272_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.23/1.34 apply (zenon_L317_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.23/1.34 apply (zenon_L437_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H113. zenon_intro zenon_H120. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H114. zenon_intro zenon_H115. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H95 | zenon_intro zenon_Hc2 ]. % 1.23/1.34 apply (zenon_L285_); trivial. % 1.23/1.34 apply (zenon_L438_); trivial. % 1.23/1.34 apply (zenon_L444_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L402_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_L272_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.34 apply (zenon_L355_); trivial. % 1.23/1.34 apply (zenon_L435_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_L272_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.34 apply (zenon_L355_); trivial. % 1.23/1.34 apply (zenon_L444_); trivial. % 1.23/1.34 apply (zenon_L404_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L7_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.34 apply (zenon_L406_); trivial. % 1.23/1.34 apply (zenon_L446_); trivial. % 1.23/1.34 apply (zenon_L308_); trivial. % 1.23/1.34 apply (zenon_L453_); trivial. % 1.23/1.34 apply (zenon_L419_); trivial. % 1.23/1.34 apply (zenon_L433_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.34 apply (zenon_L195_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_L456_); trivial. % 1.23/1.34 apply (zenon_L209_); trivial. % 1.23/1.34 apply (zenon_L457_); trivial. % 1.23/1.34 apply (zenon_L466_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H10. zenon_intro zenon_H2f0. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2a8. zenon_intro zenon_H2f1. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2a9. zenon_intro zenon_H2a7. % 1.23/1.34 apply (zenon_L600_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H10. zenon_intro zenon_H371. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H2bf. zenon_intro zenon_H372. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2bd. zenon_intro zenon_H2be. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H373 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.34 apply (zenon_L4_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_L77_); trivial. % 1.23/1.34 apply (zenon_L608_); trivial. % 1.23/1.34 apply (zenon_L130_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.34 apply (zenon_L4_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_L134_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L149_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_L150_); trivial. % 1.23/1.34 apply (zenon_L626_); trivial. % 1.23/1.34 apply (zenon_L167_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.34 apply (zenon_L4_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L53_); trivial. % 1.23/1.34 apply (zenon_L628_); trivial. % 1.23/1.34 apply (zenon_L608_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L125_); trivial. % 1.23/1.34 apply (zenon_L628_); trivial. % 1.23/1.34 apply (zenon_L640_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.34 apply (zenon_L4_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_L134_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L149_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_L150_); trivial. % 1.23/1.34 apply (zenon_L644_); trivial. % 1.23/1.34 apply (zenon_L167_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.34 apply (zenon_L195_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_L658_); trivial. % 1.23/1.34 apply (zenon_L659_); trivial. % 1.23/1.34 apply (zenon_L238_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_L658_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.34 apply (zenon_L78_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.23/1.34 apply (zenon_L660_); trivial. % 1.23/1.34 apply (zenon_L218_); trivial. % 1.23/1.34 apply (zenon_L50_); trivial. % 1.23/1.34 apply (zenon_L11_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_L606_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.34 apply (zenon_L78_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.23/1.34 apply (zenon_L660_); trivial. % 1.23/1.34 apply (zenon_L73_); trivial. % 1.23/1.34 apply (zenon_L235_); trivial. % 1.23/1.34 apply (zenon_L11_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_L239_); trivial. % 1.23/1.34 apply (zenon_L640_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_L134_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_L239_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L665_); trivial. % 1.23/1.34 apply (zenon_L165_); trivial. % 1.23/1.34 apply (zenon_L166_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L314_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_L674_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L689_); trivial. % 1.23/1.34 apply (zenon_L319_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L689_); trivial. % 1.23/1.34 apply (zenon_L673_); trivial. % 1.23/1.34 apply (zenon_L694_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.34 apply (zenon_L372_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_L320_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L7_); trivial. % 1.23/1.34 apply (zenon_L698_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.34 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L701_); trivial. % 1.23/1.34 apply (zenon_L319_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.34 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.34 apply (zenon_L701_); trivial. % 1.23/1.34 apply (zenon_L698_); trivial. % 1.23/1.34 apply (zenon_L404_); trivial. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.34 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L703_); trivial. % 1.23/1.35 apply (zenon_L704_); trivial. % 1.23/1.35 apply (zenon_L709_); trivial. % 1.23/1.35 apply (zenon_L694_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L711_); trivial. % 1.23/1.35 apply (zenon_L704_); trivial. % 1.23/1.35 apply (zenon_L709_); trivial. % 1.23/1.35 apply (zenon_L404_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L300_); trivial. % 1.23/1.35 apply (zenon_L446_); trivial. % 1.23/1.35 apply (zenon_L308_); trivial. % 1.23/1.35 apply (zenon_L712_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L674_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L675_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.23/1.35 apply (zenon_L714_); trivial. % 1.23/1.35 apply (zenon_L684_); trivial. % 1.23/1.35 apply (zenon_L717_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L272_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L706_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.23/1.35 apply (zenon_L670_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H10. zenon_intro zenon_H27b. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H25b. zenon_intro zenon_H27c. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1fc ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hfe | zenon_intro zenon_H11e ]. % 1.23/1.35 apply (zenon_L690_); trivial. % 1.23/1.35 apply (zenon_L360_); trivial. % 1.23/1.35 apply (zenon_L669_); trivial. % 1.23/1.35 apply (zenon_L694_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_L720_); trivial. % 1.23/1.35 apply (zenon_L308_); trivial. % 1.23/1.35 apply (zenon_L712_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_L320_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H10. zenon_intro zenon_Hd6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hc7. zenon_intro zenon_Hd7. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hc8. zenon_intro zenon_Hc6. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L272_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L721_); trivial. % 1.23/1.35 apply (zenon_L722_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L272_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L721_); trivial. % 1.23/1.35 apply (zenon_L723_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L675_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H255 | zenon_intro zenon_H27a ]. % 1.23/1.35 apply (zenon_L714_); trivial. % 1.23/1.35 apply (zenon_L699_); trivial. % 1.23/1.35 apply (zenon_L700_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L272_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L706_); trivial. % 1.23/1.35 apply (zenon_L722_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L272_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_H10. zenon_intro zenon_H91. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H78. zenon_intro zenon_H92. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H76. zenon_intro zenon_H77. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L706_); trivial. % 1.23/1.35 apply (zenon_L723_); trivial. % 1.23/1.35 apply (zenon_L404_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L703_); trivial. % 1.23/1.35 apply (zenon_L453_); trivial. % 1.23/1.35 apply (zenon_L709_); trivial. % 1.23/1.35 apply (zenon_L694_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L724_); trivial. % 1.23/1.35 apply (zenon_L709_); trivial. % 1.23/1.35 apply (zenon_L167_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.35 apply (zenon_L195_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L657_); trivial. % 1.23/1.35 apply (zenon_L725_); trivial. % 1.23/1.35 apply (zenon_L308_); trivial. % 1.23/1.35 apply (zenon_L465_); trivial. % 1.23/1.35 apply (zenon_L728_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L458_); trivial. % 1.23/1.35 apply (zenon_L728_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H10. zenon_intro zenon_H374. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H2dc. zenon_intro zenon_H375. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H2dd. zenon_intro zenon_H2db. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H23e | zenon_intro zenon_H2ef ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.35 apply (zenon_L4_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_L735_); trivial. % 1.23/1.35 apply (zenon_L51_); trivial. % 1.23/1.35 apply (zenon_L744_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L748_); trivial. % 1.23/1.35 apply (zenon_L95_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_L735_); trivial. % 1.23/1.35 apply (zenon_L753_); trivial. % 1.23/1.35 apply (zenon_L758_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_L761_); trivial. % 1.23/1.35 apply (zenon_L80_); trivial. % 1.23/1.35 apply (zenon_L95_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.35 apply (zenon_L4_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L147_); trivial. % 1.23/1.35 apply (zenon_L734_); trivial. % 1.23/1.35 apply (zenon_L744_); trivial. % 1.23/1.35 apply (zenon_L167_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.35 apply (zenon_L195_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L768_); trivial. % 1.23/1.35 apply (zenon_L769_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L766_); trivial. % 1.23/1.35 apply (zenon_L771_); trivial. % 1.23/1.35 apply (zenon_L746_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L773_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L775_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L78_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H10. zenon_intro zenon_H6f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H4b. zenon_intro zenon_H70. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H161 | zenon_intro zenon_H18a ]. % 1.23/1.35 apply (zenon_L240_); trivial. % 1.23/1.35 apply (zenon_L776_); trivial. % 1.23/1.35 apply (zenon_L235_); trivial. % 1.23/1.35 apply (zenon_L761_); trivial. % 1.23/1.35 apply (zenon_L639_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L773_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L665_); trivial. % 1.23/1.35 apply (zenon_L761_); trivial. % 1.23/1.35 apply (zenon_L80_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L664_); trivial. % 1.23/1.35 apply (zenon_L82_); trivial. % 1.23/1.35 apply (zenon_L734_); trivial. % 1.23/1.35 apply (zenon_L777_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L782_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L748_); trivial. % 1.23/1.35 apply (zenon_L370_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L782_); trivial. % 1.23/1.35 apply (zenon_L404_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_He8 | zenon_intro zenon_H205 ]. % 1.23/1.35 apply (zenon_L195_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H10. zenon_intro zenon_H207. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1d1. zenon_intro zenon_H208. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1d2. zenon_intro zenon_H1d0. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L768_); trivial. % 1.23/1.35 apply (zenon_L465_); trivial. % 1.23/1.35 apply (zenon_L789_); trivial. % 1.23/1.35 apply (zenon_L794_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L795_); trivial. % 1.23/1.35 apply (zenon_L794_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H10. zenon_intro zenon_H2f0. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2a8. zenon_intro zenon_H2f1. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2a9. zenon_intro zenon_H2a7. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.35 apply (zenon_L4_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L475_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L150_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_L476_); trivial. % 1.23/1.35 apply (zenon_L743_); trivial. % 1.23/1.35 apply (zenon_L492_); trivial. % 1.23/1.35 apply (zenon_L799_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L475_); trivial. % 1.23/1.35 apply (zenon_L772_); trivial. % 1.23/1.35 apply (zenon_L801_); trivial. % 1.23/1.35 apply (zenon_L538_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L475_); trivial. % 1.23/1.35 apply (zenon_L781_); trivial. % 1.23/1.35 apply (zenon_L492_); trivial. % 1.23/1.35 apply (zenon_L799_); trivial. % 1.23/1.35 apply (zenon_L599_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H10. zenon_intro zenon_H376. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H2e5. zenon_intro zenon_H377. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H2e6. zenon_intro zenon_H2e4. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H21e | zenon_intro zenon_H370 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.35 apply (zenon_L4_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L12_); trivial. % 1.23/1.35 apply (zenon_L812_); trivial. % 1.23/1.35 apply (zenon_L818_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L12_); trivial. % 1.23/1.35 apply (zenon_L820_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L831_); trivial. % 1.23/1.35 apply (zenon_L812_); trivial. % 1.23/1.35 apply (zenon_L818_); trivial. % 1.23/1.35 apply (zenon_L846_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1c7 ]. % 1.23/1.35 apply (zenon_L4_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H10. zenon_intro zenon_H1c8. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H26. zenon_intro zenon_H1c9. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H24. zenon_intro zenon_H25. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L143_); trivial. % 1.23/1.35 apply (zenon_L824_); trivial. % 1.23/1.35 apply (zenon_L829_); trivial. % 1.23/1.35 apply (zenon_L123_); trivial. % 1.23/1.35 apply (zenon_L848_); trivial. % 1.23/1.35 apply (zenon_L850_); trivial. % 1.23/1.35 apply (zenon_L167_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L856_); trivial. % 1.23/1.35 apply (zenon_L859_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L851_); trivial. % 1.23/1.35 apply (zenon_L863_); trivial. % 1.23/1.35 apply (zenon_L11_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L866_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L881_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L880_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L256_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H10. zenon_intro zenon_H1f. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H13. zenon_intro zenon_H20. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H14. zenon_intro zenon_H12. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_L883_); trivial. % 1.23/1.35 apply (zenon_L92_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L866_); trivial. % 1.23/1.35 apply (zenon_L885_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L891_); trivial. % 1.23/1.35 apply (zenon_L899_); trivial. % 1.23/1.35 apply (zenon_L910_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L7_); trivial. % 1.23/1.35 apply (zenon_L913_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_L80_); trivial. % 1.23/1.35 apply (zenon_L370_); trivial. % 1.23/1.35 apply (zenon_L921_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L891_); trivial. % 1.23/1.35 apply (zenon_L923_); trivial. % 1.23/1.35 apply (zenon_L925_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L133_); trivial. % 1.23/1.35 apply (zenon_L913_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_L927_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L851_); trivial. % 1.23/1.35 apply (zenon_L929_); trivial. % 1.23/1.35 apply (zenon_L465_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H10. zenon_intro zenon_H149. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H128. zenon_intro zenon_H14a. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L851_); trivial. % 1.23/1.35 apply (zenon_L936_); trivial. % 1.23/1.35 apply (zenon_L937_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_L940_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L133_); trivial. % 1.23/1.35 apply (zenon_L941_); trivial. % 1.23/1.35 apply (zenon_L308_); trivial. % 1.23/1.35 apply (zenon_L465_); trivial. % 1.23/1.35 apply (zenon_L940_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H10. zenon_intro zenon_H371. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H2bf. zenon_intro zenon_H372. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2bd. zenon_intro zenon_H2be. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H373 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H23e | zenon_intro zenon_H2ef ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L12_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L944_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L952_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L955_); trivial. % 1.23/1.35 apply (zenon_L957_); trivial. % 1.23/1.35 apply (zenon_L11_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_L960_); trivial. % 1.23/1.35 apply (zenon_L962_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L967_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L969_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L971_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L955_); trivial. % 1.23/1.35 apply (zenon_L751_); trivial. % 1.23/1.35 apply (zenon_L973_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L977_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L754_); trivial. % 1.23/1.35 apply (zenon_L978_); trivial. % 1.23/1.35 apply (zenon_L979_); trivial. % 1.23/1.35 apply (zenon_L984_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L985_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L990_); trivial. % 1.23/1.35 apply (zenon_L992_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L977_); trivial. % 1.23/1.35 apply (zenon_L626_); trivial. % 1.23/1.35 apply (zenon_L995_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L1000_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1001_); trivial. % 1.23/1.35 apply (zenon_L984_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1001_); trivial. % 1.23/1.35 apply (zenon_L995_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L1002_); trivial. % 1.23/1.35 apply (zenon_L1007_); trivial. % 1.23/1.35 apply (zenon_L1010_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L917_); trivial. % 1.23/1.35 apply (zenon_L1007_); trivial. % 1.23/1.35 apply (zenon_L920_); trivial. % 1.23/1.35 apply (zenon_L1012_); trivial. % 1.23/1.35 apply (zenon_L1019_); trivial. % 1.23/1.35 apply (zenon_L1076_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H10. zenon_intro zenon_H374. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H2dc. zenon_intro zenon_H375. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H2dd. zenon_intro zenon_H2db. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H23e | zenon_intro zenon_H2ef ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2b9 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L1079_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H2f | zenon_intro zenon_H8f ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L952_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L1082_); trivial. % 1.23/1.35 apply (zenon_L1085_); trivial. % 1.23/1.35 apply (zenon_L809_); trivial. % 1.23/1.35 apply (zenon_L734_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H10. zenon_intro zenon_H124. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hdf. zenon_intro zenon_H125. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H68 | zenon_intro zenon_Hd5 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L1079_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L958_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L756_); trivial. % 1.23/1.35 apply (zenon_L957_); trivial. % 1.23/1.35 apply (zenon_L746_); trivial. % 1.23/1.35 apply (zenon_L914_); trivial. % 1.23/1.35 apply (zenon_L1086_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H26a | zenon_intro zenon_H296 ]. % 1.23/1.35 apply (zenon_L969_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H10. zenon_intro zenon_H297. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H27f. zenon_intro zenon_H298. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H280. zenon_intro zenon_H27e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1c2 ]. % 1.23/1.35 apply (zenon_L971_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H10. zenon_intro zenon_H1c3. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b1. zenon_intro zenon_H1c4. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1b3. zenon_intro zenon_H1ba. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H2d | zenon_intro zenon_H6c ]. % 1.23/1.35 apply (zenon_L1082_); trivial. % 1.23/1.35 apply (zenon_L970_); trivial. % 1.23/1.35 apply (zenon_L734_); trivial. % 1.23/1.35 apply (zenon_L758_); trivial. % 1.23/1.35 apply (zenon_L1096_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_L134_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd8 ]. % 1.23/1.35 apply (zenon_L732_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H10. zenon_intro zenon_Hda. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H54. zenon_intro zenon_Hdb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d ]. % 1.23/1.35 apply (zenon_L990_); trivial. % 1.23/1.35 apply (zenon_L734_); trivial. % 1.23/1.35 apply (zenon_L1097_); trivial. % 1.23/1.35 apply (zenon_L1096_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H10. zenon_intro zenon_H2b5. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H20a. zenon_intro zenon_H2b6. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H20b. zenon_intro zenon_H209. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1098_); trivial. % 1.23/1.35 apply (zenon_L1086_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1099_); trivial. % 1.23/1.35 apply (zenon_L1096_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H10. zenon_intro zenon_H2ba. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H244. zenon_intro zenon_H2bb. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H245. zenon_intro zenon_H243. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1 | zenon_intro zenon_H2b4 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H33 | zenon_intro zenon_H202 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1100_); trivial. % 1.23/1.35 apply (zenon_L1101_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_L1100_); trivial. % 1.23/1.35 apply (zenon_L920_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H10. zenon_intro zenon_H203. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H195. zenon_intro zenon_H204. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H193. zenon_intro zenon_H194. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H1b | zenon_intro zenon_H18e ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L1002_); trivial. % 1.23/1.35 apply (zenon_L1102_); trivial. % 1.23/1.35 apply (zenon_L1101_); trivial. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H10. zenon_intro zenon_H190. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H14c. zenon_intro zenon_H191. % 1.23/1.35 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H148 ]. % 1.23/1.35 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H8d | zenon_intro zenon_H122 ]. % 1.23/1.35 apply (zenon_L926_); trivial. % 1.23/1.35 apply (zenon_L1102_); trivial. % 1.23/1.35 apply (zenon_L920_); trivial. % 1.23/1.35 apply (zenon_L1019_); trivial. % 1.23/1.35 apply (zenon_L1076_); trivial. % 1.23/1.35 Qed. % 1.23/1.35 % SZS output end Proof % 1.23/1.35 (* END-PROOF *) % 1.23/1.35 nodes searched: 44660 % 1.23/1.35 max branch formulas: 470 % 1.23/1.35 proof nodes created: 9088 % 1.23/1.35 formulas created: 47167 % 1.23/1.35 %------------------------------------------------------------------------------