%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN485+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 13:53:27 EDT 2022 % Result : Theorem 0.69s 0.88s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN485+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.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 15:58:04 EDT 2022 % 0.12/0.33 % CPUTime : % 0.69/0.88 (* PROOF-FOUND *) % 0.69/0.88 % SZS status Theorem % 0.69/0.88 (* BEGIN-PROOF *) % 0.69/0.88 % SZS output start Proof % 0.69/0.88 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c3_1 (a2068))/\((~(c0_1 (a2068)))/\(~(c2_1 (a2068)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a2070))/\((c3_1 (a2070))/\(~(c2_1 (a2070)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a2071))/\((c2_1 (a2071))/\(~(c3_1 (a2071)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a2072)))/\((~(c1_1 (a2072)))/\(~(c3_1 (a2072)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a2074))/\((c3_1 (a2074))/\(~(c2_1 (a2074)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2078))/\((~(c1_1 (a2078)))/\(~(c2_1 (a2078)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a2096))/\((~(c0_1 (a2096)))/\(~(c1_1 (a2096)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))))/\(((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a2122))/\((~(c0_1 (a2122)))/\(~(c3_1 (a2122)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2136))/\((c1_1 (a2136))/\(~(c2_1 (a2136)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_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))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp6)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/(hskp1)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/(hskp11)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp10)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp12)\/(hskp13)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp15)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp11)\/(hskp19)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp8)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((hskp21)\/(hskp16)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((hskp17)\/(hskp20)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp4)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((hskp7)\/(hskp16)))/\(((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp7)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/((hskp17)\/(hskp22)))/\(((hskp27)\/((hskp23)\/(hskp5)))/\(((hskp7)\/((hskp23)\/(hskp15)))/\(((hskp17)\/(hskp2))/\(((hskp17)\/((hskp23)\/(hskp1)))/\(((hskp23)\/((hskp24)\/(hskp5)))/\(((hskp6)\/((hskp5)\/(hskp18)))/\(((hskp29)\/((hskp5)\/(hskp3)))/\(((hskp24)\/((hskp12)\/(hskp10)))/\((hskp12)\/((hskp25)\/(hskp18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.69/0.88 Proof. % 0.69/0.88 assert (zenon_L1_ : (~(hskp17)) -> (hskp17) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1 zenon_H2. % 0.69/0.88 exact (zenon_H1 zenon_H2). % 0.69/0.88 (* end of lemma zenon_L1_ *) % 0.69/0.88 assert (zenon_L2_ : (~(hskp2)) -> (hskp2) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3 zenon_H4. % 0.69/0.88 exact (zenon_H3 zenon_H4). % 0.69/0.88 (* end of lemma zenon_L2_ *) % 0.69/0.88 assert (zenon_L3_ : ((hskp17)\/(hskp2)) -> (~(hskp2)) -> (~(hskp17)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H5 zenon_H3 zenon_H1. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.69/0.88 exact (zenon_H1 zenon_H2). % 0.69/0.88 exact (zenon_H3 zenon_H4). % 0.69/0.88 (* end of lemma zenon_L3_ *) % 0.69/0.88 assert (zenon_L4_ : (~(hskp6)) -> (hskp6) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6 zenon_H7. % 0.69/0.88 exact (zenon_H6 zenon_H7). % 0.69/0.88 (* end of lemma zenon_L4_ *) % 0.69/0.88 assert (zenon_L5_ : (~(hskp5)) -> (hskp5) -> False). % 0.69/0.88 do 0 intro. intros zenon_H8 zenon_H9. % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 (* end of lemma zenon_L5_ *) % 0.69/0.88 assert (zenon_L6_ : (~(hskp18)) -> (hskp18) -> False). % 0.69/0.88 do 0 intro. intros zenon_Ha zenon_Hb. % 0.69/0.88 exact (zenon_Ha zenon_Hb). % 0.69/0.88 (* end of lemma zenon_L6_ *) % 0.69/0.88 assert (zenon_L7_ : ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp6)) -> (~(hskp5)) -> (~(hskp18)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc zenon_H6 zenon_H8 zenon_Ha. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H7 | zenon_intro zenon_Hd ]. % 0.69/0.88 exact (zenon_H6 zenon_H7). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ]. % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 exact (zenon_Ha zenon_Hb). % 0.69/0.88 (* end of lemma zenon_L7_ *) % 0.69/0.88 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_He zenon_Hf. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 (* end of lemma zenon_L8_ *) % 0.69/0.88 assert (zenon_L9_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H14. % 0.69/0.88 generalize (zenon_H10 (a2116)). zenon_intro zenon_H15. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.69/0.88 exact (zenon_H11 zenon_H18). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.69/0.88 generalize (zenon_H12 (a2116)). zenon_intro zenon_H1b. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_He | zenon_intro zenon_H1c ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.69/0.88 exact (zenon_H1a zenon_H1e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f ]. % 0.69/0.88 exact (zenon_H11 zenon_H18). % 0.69/0.88 exact (zenon_H13 zenon_H1f). % 0.69/0.88 exact (zenon_H19 zenon_H14). % 0.69/0.88 (* end of lemma zenon_L9_ *) % 0.69/0.88 assert (zenon_L10_ : (~(hskp22)) -> (hskp22) -> False). % 0.69/0.88 do 0 intro. intros zenon_H20 zenon_H21. % 0.69/0.88 exact (zenon_H20 zenon_H21). % 0.69/0.88 (* end of lemma zenon_L10_ *) % 0.69/0.88 assert (zenon_L11_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H22 zenon_H20 zenon_H14 zenon_H13 zenon_H12 zenon_H11 zenon_Hf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 0.69/0.88 apply (zenon_L9_); trivial. % 0.69/0.88 exact (zenon_H20 zenon_H21). % 0.69/0.88 (* end of lemma zenon_L11_ *) % 0.69/0.88 assert (zenon_L12_ : (~(hskp4)) -> (hskp4) -> False). % 0.69/0.88 do 0 intro. intros zenon_H23 zenon_H24. % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 (* end of lemma zenon_L12_ *) % 0.69/0.88 assert (zenon_L13_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H25 zenon_Hf zenon_H11 zenon_H13 zenon_H14 zenon_H20 zenon_H22 zenon_H8 zenon_H23. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H12 | zenon_intro zenon_H26 ]. % 0.69/0.88 apply (zenon_L11_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H9 | zenon_intro zenon_H24 ]. % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 (* end of lemma zenon_L13_ *) % 0.69/0.88 assert (zenon_L14_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H27 zenon_Hf zenon_H28 zenon_H29 zenon_H2a. % 0.69/0.88 generalize (zenon_H27 (a2140)). zenon_intro zenon_H2b. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_He | zenon_intro zenon_H2c ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.69/0.88 exact (zenon_H28 zenon_H2e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.69/0.88 exact (zenon_H30 zenon_H29). % 0.69/0.88 exact (zenon_H2f zenon_H2a). % 0.69/0.88 (* end of lemma zenon_L14_ *) % 0.69/0.88 assert (zenon_L15_ : (~(hskp11)) -> (hskp11) -> False). % 0.69/0.88 do 0 intro. intros zenon_H31 zenon_H32. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 (* end of lemma zenon_L15_ *) % 0.69/0.88 assert (zenon_L16_ : (~(hskp0)) -> (hskp0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H33 zenon_H34. % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L16_ *) % 0.69/0.88 assert (zenon_L17_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp11)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H35 zenon_H36 zenon_H31 zenon_H33. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.69/0.88 apply (zenon_L14_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L17_ *) % 0.69/0.88 assert (zenon_L18_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3a zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H8 zenon_H23 zenon_H25. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.88 apply (zenon_L13_); trivial. % 0.69/0.88 apply (zenon_L17_); trivial. % 0.69/0.88 (* end of lemma zenon_L18_ *) % 0.69/0.88 assert (zenon_L19_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.88 apply (zenon_L7_); trivial. % 0.69/0.88 apply (zenon_L18_); trivial. % 0.69/0.88 (* end of lemma zenon_L19_ *) % 0.69/0.88 assert (zenon_L20_ : (~(hskp29)) -> (hskp29) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3f zenon_H40. % 0.69/0.88 exact (zenon_H3f zenon_H40). % 0.69/0.88 (* end of lemma zenon_L20_ *) % 0.69/0.88 assert (zenon_L21_ : (~(hskp3)) -> (hskp3) -> False). % 0.69/0.88 do 0 intro. intros zenon_H41 zenon_H42. % 0.69/0.88 exact (zenon_H41 zenon_H42). % 0.69/0.88 (* end of lemma zenon_L21_ *) % 0.69/0.88 assert (zenon_L22_ : ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp29)) -> (~(hskp5)) -> (~(hskp3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H43 zenon_H3f zenon_H8 zenon_H41. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.88 exact (zenon_H3f zenon_H40). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H9 | zenon_intro zenon_H42 ]. % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 exact (zenon_H41 zenon_H42). % 0.69/0.88 (* end of lemma zenon_L22_ *) % 0.69/0.88 assert (zenon_L23_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H45 zenon_Hf zenon_H46 zenon_H47 zenon_H48. % 0.69/0.88 generalize (zenon_H45 (a2093)). zenon_intro zenon_H49. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_He | zenon_intro zenon_H4a ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.69/0.88 exact (zenon_H46 zenon_H4c). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.69/0.88 exact (zenon_H47 zenon_H4e). % 0.69/0.88 exact (zenon_H4d zenon_H48). % 0.69/0.88 (* end of lemma zenon_L23_ *) % 0.69/0.88 assert (zenon_L24_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a2077))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H4f zenon_Hf zenon_H50 zenon_H51 zenon_H52. % 0.69/0.88 generalize (zenon_H4f (a2077)). zenon_intro zenon_H53. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_He | zenon_intro zenon_H54 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.69/0.88 exact (zenon_H50 zenon_H56). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.69/0.88 exact (zenon_H58 zenon_H51). % 0.69/0.88 exact (zenon_H57 zenon_H52). % 0.69/0.88 (* end of lemma zenon_L24_ *) % 0.69/0.88 assert (zenon_L25_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H59 zenon_Hf zenon_H4f zenon_H51 zenon_H52. % 0.69/0.88 generalize (zenon_H59 (a2077)). zenon_intro zenon_H5a. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_He | zenon_intro zenon_H5b ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H50 | zenon_intro zenon_H55 ]. % 0.69/0.88 apply (zenon_L24_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.69/0.88 exact (zenon_H58 zenon_H51). % 0.69/0.88 exact (zenon_H57 zenon_H52). % 0.69/0.88 (* end of lemma zenon_L25_ *) % 0.69/0.88 assert (zenon_L26_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H5c zenon_Hf zenon_H4f zenon_H51 zenon_H52 zenon_H5d. % 0.69/0.88 generalize (zenon_H5c (a2077)). zenon_intro zenon_H5e. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_He | zenon_intro zenon_H5f ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H50 | zenon_intro zenon_H60 ]. % 0.69/0.88 apply (zenon_L24_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ]. % 0.69/0.88 exact (zenon_H61 zenon_H5d). % 0.69/0.88 exact (zenon_H57 zenon_H52). % 0.69/0.88 (* end of lemma zenon_L26_ *) % 0.69/0.88 assert (zenon_L27_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H4f zenon_H51 zenon_H52 zenon_H5d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.88 apply (zenon_L23_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.88 apply (zenon_L25_); trivial. % 0.69/0.88 apply (zenon_L26_); trivial. % 0.69/0.88 (* end of lemma zenon_L27_ *) % 0.69/0.88 assert (zenon_L28_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H64 zenon_H65 zenon_H33 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H8 zenon_H41 zenon_H43. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.88 apply (zenon_L22_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ]. % 0.69/0.88 apply (zenon_L27_); trivial. % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L28_ *) % 0.69/0.88 assert (zenon_L29_ : (~(hskp12)) -> (hskp12) -> False). % 0.69/0.88 do 0 intro. intros zenon_H69 zenon_H6a. % 0.69/0.88 exact (zenon_H69 zenon_H6a). % 0.69/0.88 (* end of lemma zenon_L29_ *) % 0.69/0.88 assert (zenon_L30_ : (~(hskp25)) -> (hskp25) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6b zenon_H6c. % 0.69/0.88 exact (zenon_H6b zenon_H6c). % 0.69/0.88 (* end of lemma zenon_L30_ *) % 0.69/0.88 assert (zenon_L31_ : ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> (~(hskp25)) -> (~(hskp18)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6d zenon_H69 zenon_H6b zenon_Ha. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H6a | zenon_intro zenon_H6e ]. % 0.69/0.88 exact (zenon_H69 zenon_H6a). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H6c | zenon_intro zenon_Hb ]. % 0.69/0.88 exact (zenon_H6b zenon_H6c). % 0.69/0.88 exact (zenon_Ha zenon_Hb). % 0.69/0.88 (* end of lemma zenon_L31_ *) % 0.69/0.88 assert (zenon_L32_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a2172))) -> (~(c3_1 (a2172))) -> (c1_1 (a2172)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6f zenon_Hf zenon_H70 zenon_H71 zenon_H72. % 0.69/0.88 generalize (zenon_H6f (a2172)). zenon_intro zenon_H73. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_He | zenon_intro zenon_H74 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.69/0.88 exact (zenon_H70 zenon_H76). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.69/0.88 exact (zenon_H71 zenon_H78). % 0.69/0.88 exact (zenon_H77 zenon_H72). % 0.69/0.88 (* end of lemma zenon_L32_ *) % 0.69/0.88 assert (zenon_L33_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c1_1 (a2077)) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H79 zenon_Hf zenon_H51 zenon_H5d zenon_H52. % 0.69/0.88 generalize (zenon_H79 (a2077)). zenon_intro zenon_H7a. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_He | zenon_intro zenon_H7b ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H58 | zenon_intro zenon_H60 ]. % 0.69/0.88 exact (zenon_H58 zenon_H51). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ]. % 0.69/0.88 exact (zenon_H61 zenon_H5d). % 0.69/0.88 exact (zenon_H57 zenon_H52). % 0.69/0.88 (* end of lemma zenon_L33_ *) % 0.69/0.88 assert (zenon_L34_ : (~(hskp8)) -> (hskp8) -> False). % 0.69/0.88 do 0 intro. intros zenon_H7c zenon_H7d. % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L34_ *) % 0.69/0.88 assert (zenon_L35_ : ((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H66 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H7c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.88 apply (zenon_L32_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.88 apply (zenon_L33_); trivial. % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L35_ *) % 0.69/0.88 assert (zenon_L36_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H69 zenon_Ha zenon_H6d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.88 apply (zenon_L31_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.88 apply (zenon_L22_); trivial. % 0.69/0.88 apply (zenon_L35_); trivial. % 0.69/0.88 (* end of lemma zenon_L36_ *) % 0.69/0.88 assert (zenon_L37_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H69 zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.88 apply (zenon_L36_); trivial. % 0.69/0.88 apply (zenon_L18_); trivial. % 0.69/0.88 (* end of lemma zenon_L37_ *) % 0.69/0.88 assert (zenon_L38_ : (~(hskp27)) -> (hskp27) -> False). % 0.69/0.88 do 0 intro. intros zenon_H84 zenon_H85. % 0.69/0.88 exact (zenon_H84 zenon_H85). % 0.69/0.88 (* end of lemma zenon_L38_ *) % 0.69/0.88 assert (zenon_L39_ : (~(hskp23)) -> (hskp23) -> False). % 0.69/0.88 do 0 intro. intros zenon_H86 zenon_H87. % 0.69/0.88 exact (zenon_H86 zenon_H87). % 0.69/0.88 (* end of lemma zenon_L39_ *) % 0.69/0.88 assert (zenon_L40_ : ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp27)) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H88 zenon_H84 zenon_H86 zenon_H8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H85 | zenon_intro zenon_H89 ]. % 0.69/0.88 exact (zenon_H84 zenon_H85). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H87 | zenon_intro zenon_H9 ]. % 0.69/0.88 exact (zenon_H86 zenon_H87). % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 (* end of lemma zenon_L40_ *) % 0.69/0.88 assert (zenon_L41_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H8a zenon_Hf zenon_H8b zenon_H8c zenon_H8d. % 0.69/0.88 generalize (zenon_H8a (a2095)). zenon_intro zenon_H8e. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_He | zenon_intro zenon_H8f ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.69/0.88 exact (zenon_H8b zenon_H91). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.69/0.88 exact (zenon_H8c zenon_H93). % 0.69/0.88 exact (zenon_H92 zenon_H8d). % 0.69/0.88 (* end of lemma zenon_L41_ *) % 0.69/0.88 assert (zenon_L42_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c3_1 (a2078)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H94 zenon_Hf zenon_H95 zenon_H96 zenon_H97. % 0.69/0.88 generalize (zenon_H94 (a2078)). zenon_intro zenon_H98. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_He | zenon_intro zenon_H99 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 0.69/0.88 exact (zenon_H95 zenon_H9b). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.69/0.88 exact (zenon_H96 zenon_H9d). % 0.69/0.88 exact (zenon_H9c zenon_H97). % 0.69/0.88 (* end of lemma zenon_L42_ *) % 0.69/0.88 assert (zenon_L43_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H45 zenon_Hf zenon_H95 zenon_H94 zenon_H96 zenon_H9e. % 0.69/0.88 generalize (zenon_H45 (a2078)). zenon_intro zenon_H9f. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H9f); [ zenon_intro zenon_He | zenon_intro zenon_Ha0 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9b | zenon_intro zenon_Ha1 ]. % 0.69/0.88 exact (zenon_H95 zenon_H9b). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha2 ]. % 0.69/0.88 apply (zenon_L42_); trivial. % 0.69/0.88 exact (zenon_Ha2 zenon_H9e). % 0.69/0.88 (* end of lemma zenon_L43_ *) % 0.69/0.88 assert (zenon_L44_ : (~(hskp1)) -> (hskp1) -> False). % 0.69/0.88 do 0 intro. intros zenon_Ha3 zenon_Ha4. % 0.69/0.88 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.88 (* end of lemma zenon_L44_ *) % 0.69/0.88 assert (zenon_L45_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Ha5 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_Hf zenon_Ha3 zenon_H7c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ]. % 0.69/0.88 apply (zenon_L43_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ]. % 0.69/0.88 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L45_ *) % 0.69/0.88 assert (zenon_L46_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H10 zenon_Hf zenon_H79 zenon_Ha7 zenon_Ha8 zenon_Ha9. % 0.69/0.88 generalize (zenon_H10 (a2073)). zenon_intro zenon_Haa. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Haa); [ zenon_intro zenon_He | zenon_intro zenon_Hab ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.69/0.88 generalize (zenon_H79 (a2073)). zenon_intro zenon_Hae. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_He | zenon_intro zenon_Haf ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ]. % 0.69/0.88 exact (zenon_Hb1 zenon_Ha7). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.69/0.88 exact (zenon_Hb3 zenon_Had). % 0.69/0.88 exact (zenon_Hb2 zenon_Ha8). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb1 ]. % 0.69/0.88 exact (zenon_Hb4 zenon_Ha9). % 0.69/0.88 exact (zenon_Hb1 zenon_Ha7). % 0.69/0.88 (* end of lemma zenon_L46_ *) % 0.69/0.88 assert (zenon_L47_ : (~(hskp9)) -> (hskp9) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hb5 zenon_Hb6. % 0.69/0.88 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.88 (* end of lemma zenon_L47_ *) % 0.69/0.88 assert (zenon_L48_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2149))) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hb7 zenon_Hf zenon_Hb8 zenon_Hb9 zenon_Hba. % 0.69/0.88 generalize (zenon_Hb7 (a2149)). zenon_intro zenon_Hbb. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_He | zenon_intro zenon_Hbc ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ]. % 0.69/0.88 exact (zenon_Hb8 zenon_Hbe). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.69/0.88 exact (zenon_Hc0 zenon_Hb9). % 0.69/0.88 exact (zenon_Hbf zenon_Hba). % 0.69/0.88 (* end of lemma zenon_L48_ *) % 0.69/0.88 assert (zenon_L49_ : (~(hskp10)) -> (hskp10) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc1 zenon_Hc2. % 0.69/0.88 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.88 (* end of lemma zenon_L49_ *) % 0.69/0.88 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp10)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H31 zenon_Hc1. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ]. % 0.69/0.88 apply (zenon_L48_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.88 (* end of lemma zenon_L50_ *) % 0.69/0.88 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc8 zenon_Ha5 zenon_Ha3 zenon_H7c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ]. % 0.69/0.88 apply (zenon_L23_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ]. % 0.69/0.88 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L51_ *) % 0.69/0.88 assert (zenon_L52_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcb zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hcc zenon_Hcd zenon_Hb5 zenon_Ha5 zenon_Ha3 zenon_H9e zenon_H96 zenon_H95 zenon_Hce zenon_H88 zenon_Hc1 zenon_Hc4 zenon_Hcf zenon_Hd0. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.88 apply (zenon_L37_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.88 apply (zenon_L40_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.88 apply (zenon_L41_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H94 | zenon_intro zenon_H7f ]. % 0.69/0.88 apply (zenon_L45_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.88 apply (zenon_L46_); trivial. % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.88 apply (zenon_L50_); trivial. % 0.69/0.88 apply (zenon_L51_); trivial. % 0.69/0.88 (* end of lemma zenon_L52_ *) % 0.69/0.88 assert (zenon_L53_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H22 zenon_H20 zenon_H14 zenon_H8a zenon_H11 zenon_Hf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 0.69/0.88 generalize (zenon_H10 (a2116)). zenon_intro zenon_H15. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.69/0.88 exact (zenon_H11 zenon_H18). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.69/0.88 generalize (zenon_H8a (a2116)). zenon_intro zenon_Hd8. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hd8); [ zenon_intro zenon_He | zenon_intro zenon_Hd9 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H1e | zenon_intro zenon_Hda ]. % 0.69/0.88 exact (zenon_H1a zenon_H1e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ]. % 0.69/0.88 exact (zenon_H11 zenon_H18). % 0.69/0.88 exact (zenon_H19 zenon_H14). % 0.69/0.88 exact (zenon_H19 zenon_H14). % 0.69/0.88 exact (zenon_H20 zenon_H21). % 0.69/0.88 (* end of lemma zenon_L53_ *) % 0.69/0.88 assert (zenon_L54_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hdb zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde. % 0.69/0.88 generalize (zenon_Hdb (a2087)). zenon_intro zenon_Hdf. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_He | zenon_intro zenon_He0 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.69/0.88 exact (zenon_Hdc zenon_He2). % 0.69/0.88 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ]. % 0.69/0.88 exact (zenon_Hdd zenon_He4). % 0.69/0.88 exact (zenon_He3 zenon_Hde). % 0.69/0.88 (* end of lemma zenon_L54_ *) % 0.69/0.88 assert (zenon_L55_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_He5 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H7c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.69/0.88 apply (zenon_L53_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.69/0.88 apply (zenon_L54_); trivial. % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L55_ *) % 0.69/0.88 assert (zenon_L56_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2140)) -> False). % 0.69/0.88 do 0 intro. intros zenon_He7 zenon_Hf zenon_H28 zenon_He8 zenon_H29. % 0.69/0.88 generalize (zenon_He7 (a2140)). zenon_intro zenon_He9. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_He | zenon_intro zenon_Hea ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H2e | zenon_intro zenon_Heb ]. % 0.69/0.88 exact (zenon_H28 zenon_H2e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hec | zenon_intro zenon_H30 ]. % 0.69/0.88 generalize (zenon_He8 (a2140)). zenon_intro zenon_Hed. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hed); [ zenon_intro zenon_He | zenon_intro zenon_Hee ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H2e | zenon_intro zenon_Hef ]. % 0.69/0.88 exact (zenon_H28 zenon_H2e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H30 ]. % 0.69/0.88 exact (zenon_Hec zenon_Hf0). % 0.69/0.88 exact (zenon_H30 zenon_H29). % 0.69/0.88 exact (zenon_H30 zenon_H29). % 0.69/0.88 (* end of lemma zenon_L56_ *) % 0.69/0.88 assert (zenon_L57_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hf1 zenon_Hf zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.88 generalize (zenon_Hf1 (a2110)). zenon_intro zenon_Hf5. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_He | zenon_intro zenon_Hf6 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf7 ]. % 0.69/0.88 exact (zenon_Hf2 zenon_Hf8). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.69/0.88 exact (zenon_Hfa zenon_Hf3). % 0.69/0.88 exact (zenon_Hf9 zenon_Hf4). % 0.69/0.88 (* end of lemma zenon_L57_ *) % 0.69/0.88 assert (zenon_L58_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp11)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H35 zenon_Hfb zenon_H31 zenon_Hdc zenon_Hdd zenon_Hde zenon_Hfc zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ]. % 0.69/0.88 apply (zenon_L56_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ]. % 0.69/0.88 apply (zenon_L54_); trivial. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.88 apply (zenon_L14_); trivial. % 0.69/0.88 apply (zenon_L57_); trivial. % 0.69/0.88 (* end of lemma zenon_L58_ *) % 0.69/0.88 assert (zenon_L59_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hd1 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.69/0.88 apply (zenon_L41_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.69/0.88 apply (zenon_L54_); trivial. % 0.69/0.88 exact (zenon_H7c zenon_H7d). % 0.69/0.88 (* end of lemma zenon_L59_ *) % 0.69/0.88 assert (zenon_L60_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hd0 zenon_H5 zenon_H3 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H22 zenon_Hfc zenon_H31 zenon_Hfb zenon_H3b zenon_H3e zenon_Hff. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.88 apply (zenon_L3_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.88 apply (zenon_L36_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.88 apply (zenon_L55_); trivial. % 0.69/0.88 apply (zenon_L58_); trivial. % 0.69/0.88 apply (zenon_L59_); trivial. % 0.69/0.88 (* end of lemma zenon_L60_ *) % 0.69/0.88 assert (zenon_L61_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.88 apply (zenon_L60_); trivial. % 0.69/0.88 apply (zenon_L51_); trivial. % 0.69/0.88 (* end of lemma zenon_L61_ *) % 0.69/0.88 assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H103 zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.88 apply (zenon_L61_); trivial. % 0.69/0.88 (* end of lemma zenon_L62_ *) % 0.69/0.88 assert (zenon_L63_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hb7 zenon_Hf zenon_H106 zenon_H27 zenon_H107 zenon_H108. % 0.69/0.88 generalize (zenon_Hb7 (a2084)). zenon_intro zenon_H109. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_He | zenon_intro zenon_H10a ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.69/0.88 exact (zenon_H106 zenon_H10c). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.69/0.88 generalize (zenon_H27 (a2084)). zenon_intro zenon_H10f. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_He | zenon_intro zenon_H110 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ]. % 0.69/0.88 exact (zenon_H10e zenon_H112). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H10d ]. % 0.69/0.88 exact (zenon_H113 zenon_H107). % 0.69/0.88 exact (zenon_H10d zenon_H108). % 0.69/0.88 exact (zenon_H10d zenon_H108). % 0.69/0.88 (* end of lemma zenon_L63_ *) % 0.69/0.88 assert (zenon_L64_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp10)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc4 zenon_H108 zenon_H107 zenon_H27 zenon_H106 zenon_Hf zenon_H31 zenon_Hc1. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ]. % 0.69/0.88 apply (zenon_L63_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.88 (* end of lemma zenon_L64_ *) % 0.69/0.88 assert (zenon_L65_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp11)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H36 zenon_Hc1 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc4 zenon_H31 zenon_H33. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.69/0.88 apply (zenon_L64_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L65_ *) % 0.69/0.88 assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc8 zenon_H64 zenon_H65 zenon_H33 zenon_H62 zenon_H8 zenon_H41 zenon_H43. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.88 apply (zenon_L28_); trivial. % 0.69/0.88 (* end of lemma zenon_L66_ *) % 0.69/0.88 assert (zenon_L67_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcb zenon_H64 zenon_H65 zenon_H62 zenon_H8 zenon_H41 zenon_H43 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H33 zenon_H36. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.88 apply (zenon_L65_); trivial. % 0.69/0.88 apply (zenon_L66_); trivial. % 0.69/0.88 (* end of lemma zenon_L67_ *) % 0.69/0.88 assert (zenon_L68_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H114 zenon_Ha5 zenon_Ha3 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H7c zenon_H7e zenon_H80 zenon_H3 zenon_H5 zenon_Hd0 zenon_H36 zenon_H33 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc4 zenon_H43 zenon_H41 zenon_H8 zenon_H62 zenon_H65 zenon_H64 zenon_Hcb. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.88 apply (zenon_L67_); trivial. % 0.69/0.88 apply (zenon_L62_); trivial. % 0.69/0.88 (* end of lemma zenon_L68_ *) % 0.69/0.88 assert (zenon_L69_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H115 zenon_H62 zenon_H65 zenon_Hcb zenon_H3e zenon_H3b zenon_H36 zenon_H33 zenon_H22 zenon_H23 zenon_H25 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hcc zenon_Hcd zenon_Ha5 zenon_Ha3 zenon_H9e zenon_H96 zenon_H95 zenon_Hce zenon_H88 zenon_Hc4 zenon_Hcf zenon_Hd0 zenon_H5 zenon_H3 zenon_He5 zenon_Hfc zenon_Hfb zenon_Hff zenon_H114. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.88 apply (zenon_L52_); trivial. % 0.69/0.88 apply (zenon_L62_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.88 apply (zenon_L68_); trivial. % 0.69/0.88 (* end of lemma zenon_L69_ *) % 0.69/0.88 assert (zenon_L70_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H10 zenon_Hf zenon_H5c zenon_Ha9 zenon_Ha8 zenon_Ha7. % 0.69/0.88 generalize (zenon_H10 (a2073)). zenon_intro zenon_Haa. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_Haa); [ zenon_intro zenon_He | zenon_intro zenon_Hab ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.69/0.88 generalize (zenon_H5c (a2073)). zenon_intro zenon_H119. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_He | zenon_intro zenon_H11a ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb0 ]. % 0.69/0.88 exact (zenon_Hb4 zenon_Ha9). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.69/0.88 exact (zenon_Hb3 zenon_Had). % 0.69/0.88 exact (zenon_Hb2 zenon_Ha8). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb1 ]. % 0.69/0.88 exact (zenon_Hb4 zenon_Ha9). % 0.69/0.88 exact (zenon_Hb1 zenon_Ha7). % 0.69/0.88 (* end of lemma zenon_L70_ *) % 0.69/0.88 assert (zenon_L71_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H22 zenon_H20 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H5c zenon_Hf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 0.69/0.88 apply (zenon_L70_); trivial. % 0.69/0.88 exact (zenon_H20 zenon_H21). % 0.69/0.88 (* end of lemma zenon_L71_ *) % 0.69/0.88 assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hd4 zenon_H11b zenon_H72 zenon_H71 zenon_H70 zenon_H20 zenon_H22 zenon_H23. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ]. % 0.69/0.88 apply (zenon_L32_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ]. % 0.69/0.88 apply (zenon_L71_); trivial. % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 (* end of lemma zenon_L72_ *) % 0.69/0.88 assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H81 zenon_Hcc zenon_H11b zenon_H23 zenon_H20 zenon_H22 zenon_H86 zenon_H8 zenon_H88. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.88 apply (zenon_L40_); trivial. % 0.69/0.88 apply (zenon_L72_); trivial. % 0.69/0.88 (* end of lemma zenon_L73_ *) % 0.69/0.88 assert (zenon_L74_ : (~(hskp26)) -> (hskp26) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11d zenon_H11e. % 0.69/0.88 exact (zenon_H11d zenon_H11e). % 0.69/0.88 (* end of lemma zenon_L74_ *) % 0.69/0.88 assert (zenon_L75_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a2149)) -> (c0_1 (a2149)) -> (~(c1_1 (a2149))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11f zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Hf zenon_H11d zenon_H8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H120 ]. % 0.69/0.88 apply (zenon_L48_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H11e | zenon_intro zenon_H9 ]. % 0.69/0.88 exact (zenon_H11d zenon_H11e). % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 (* end of lemma zenon_L75_ *) % 0.69/0.88 assert (zenon_L76_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H5c zenon_Hf zenon_H121 zenon_H122 zenon_H123. % 0.69/0.88 generalize (zenon_H5c (a2069)). zenon_intro zenon_H124. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_He | zenon_intro zenon_H125 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 0.69/0.88 exact (zenon_H127 zenon_H121). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.69/0.88 exact (zenon_H129 zenon_H122). % 0.69/0.88 exact (zenon_H128 zenon_H123). % 0.69/0.88 (* end of lemma zenon_L76_ *) % 0.69/0.88 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H12a zenon_H11b zenon_H72 zenon_H71 zenon_H70 zenon_H23. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ]. % 0.69/0.88 apply (zenon_L32_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ]. % 0.69/0.88 apply (zenon_L76_); trivial. % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 (* end of lemma zenon_L77_ *) % 0.69/0.88 assert (zenon_L78_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2149))) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H81 zenon_H12d zenon_H11b zenon_H23 zenon_Hb8 zenon_Hb9 zenon_Hba zenon_H8 zenon_H11f. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.88 apply (zenon_L75_); trivial. % 0.69/0.88 apply (zenon_L77_); trivial. % 0.69/0.88 (* end of lemma zenon_L78_ *) % 0.69/0.88 assert (zenon_L79_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc3 zenon_H80 zenon_H12d zenon_H11b zenon_H23 zenon_H8 zenon_H11f zenon_H69 zenon_Ha zenon_H6d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.88 apply (zenon_L31_); trivial. % 0.69/0.88 apply (zenon_L78_); trivial. % 0.69/0.88 (* end of lemma zenon_L79_ *) % 0.69/0.88 assert (zenon_L80_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_Ha zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H20 zenon_H23 zenon_H11b zenon_Hcc zenon_H80. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.88 apply (zenon_L31_); trivial. % 0.69/0.88 apply (zenon_L73_); trivial. % 0.69/0.88 apply (zenon_L79_); trivial. % 0.69/0.88 (* end of lemma zenon_L80_ *) % 0.69/0.88 assert (zenon_L81_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_Ha zenon_H6d zenon_H11f zenon_H12d zenon_Hcf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.88 apply (zenon_L80_); trivial. % 0.69/0.88 apply (zenon_L17_); trivial. % 0.69/0.88 (* end of lemma zenon_L81_ *) % 0.69/0.88 assert (zenon_L82_ : (~(hskp24)) -> (hskp24) -> False). % 0.69/0.88 do 0 intro. intros zenon_H12e zenon_H12f. % 0.69/0.88 exact (zenon_H12e zenon_H12f). % 0.69/0.88 (* end of lemma zenon_L82_ *) % 0.69/0.88 assert (zenon_L83_ : ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp23)) -> (~(hskp24)) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H130 zenon_H86 zenon_H12e zenon_H8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H87 | zenon_intro zenon_H131 ]. % 0.69/0.88 exact (zenon_H86 zenon_H87). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H12f | zenon_intro zenon_H9 ]. % 0.69/0.88 exact (zenon_H12e zenon_H12f). % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 (* end of lemma zenon_L83_ *) % 0.69/0.88 assert (zenon_L84_ : (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46)))))) -> (ndr1_0) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H132 zenon_Hf zenon_H95 zenon_H96 zenon_H9e. % 0.69/0.88 generalize (zenon_H132 (a2078)). zenon_intro zenon_H133. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_He | zenon_intro zenon_H134 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H9b | zenon_intro zenon_H135 ]. % 0.69/0.88 exact (zenon_H95 zenon_H9b). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha2 ]. % 0.69/0.88 exact (zenon_H96 zenon_H9d). % 0.69/0.88 exact (zenon_Ha2 zenon_H9e). % 0.69/0.88 (* end of lemma zenon_L84_ *) % 0.69/0.88 assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp26)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hd4 zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_H20 zenon_H22 zenon_H11d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H132 | zenon_intro zenon_H137 ]. % 0.69/0.88 apply (zenon_L84_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5c | zenon_intro zenon_H11e ]. % 0.69/0.88 apply (zenon_L71_); trivial. % 0.69/0.88 exact (zenon_H11d zenon_H11e). % 0.69/0.88 (* end of lemma zenon_L85_ *) % 0.69/0.88 assert (zenon_L86_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp26)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcc zenon_H136 zenon_H11d zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H86 zenon_H8 zenon_H88. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.88 apply (zenon_L40_); trivial. % 0.69/0.88 apply (zenon_L85_); trivial. % 0.69/0.88 (* end of lemma zenon_L86_ *) % 0.69/0.88 assert (zenon_L87_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a2069))) -> (c0_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hb7 zenon_Hf zenon_H138 zenon_H121 zenon_H123. % 0.69/0.88 generalize (zenon_Hb7 (a2069)). zenon_intro zenon_H139. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_He | zenon_intro zenon_H13a ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.69/0.88 exact (zenon_H138 zenon_H13c). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H127 | zenon_intro zenon_H128 ]. % 0.69/0.88 exact (zenon_H127 zenon_H121). % 0.69/0.88 exact (zenon_H128 zenon_H123). % 0.69/0.88 (* end of lemma zenon_L87_ *) % 0.69/0.88 assert (zenon_L88_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2069)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H59 zenon_Hf zenon_H121 zenon_Hb7 zenon_H123. % 0.69/0.88 generalize (zenon_H59 (a2069)). zenon_intro zenon_H13d. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_He | zenon_intro zenon_H13e ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H127 | zenon_intro zenon_H13f ]. % 0.69/0.88 exact (zenon_H127 zenon_H121). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H138 | zenon_intro zenon_H128 ]. % 0.69/0.88 apply (zenon_L87_); trivial. % 0.69/0.88 exact (zenon_H128 zenon_H123). % 0.69/0.88 (* end of lemma zenon_L88_ *) % 0.69/0.88 assert (zenon_L89_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c3_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a2069)) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H62 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_H123 zenon_Hb7 zenon_H121 zenon_H10 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.88 apply (zenon_L43_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.88 apply (zenon_L88_); trivial. % 0.69/0.88 apply (zenon_L70_); trivial. % 0.69/0.88 (* end of lemma zenon_L89_ *) % 0.69/0.88 assert (zenon_L90_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a2160))) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6f zenon_Hf zenon_H140 zenon_H141 zenon_H142. % 0.69/0.88 generalize (zenon_H6f (a2160)). zenon_intro zenon_H143. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_He | zenon_intro zenon_H144 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.69/0.88 exact (zenon_H140 zenon_H146). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ]. % 0.69/0.88 exact (zenon_H141 zenon_H148). % 0.69/0.88 exact (zenon_H147 zenon_H142). % 0.69/0.88 (* end of lemma zenon_L90_ *) % 0.69/0.88 assert (zenon_L91_ : (forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H149 zenon_Hf zenon_H141 zenon_H6f zenon_H142 zenon_H14a. % 0.69/0.88 generalize (zenon_H149 (a2160)). zenon_intro zenon_H14b. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H14b); [ zenon_intro zenon_He | zenon_intro zenon_H14c ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H148 | zenon_intro zenon_H14d ]. % 0.69/0.88 exact (zenon_H141 zenon_H148). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H140 | zenon_intro zenon_H14e ]. % 0.69/0.88 apply (zenon_L90_); trivial. % 0.69/0.88 exact (zenon_H14e zenon_H14a). % 0.69/0.88 (* end of lemma zenon_L91_ *) % 0.69/0.88 assert (zenon_L92_ : (~(hskp16)) -> (hskp16) -> False). % 0.69/0.88 do 0 intro. intros zenon_H14f zenon_H150. % 0.69/0.88 exact (zenon_H14f zenon_H150). % 0.69/0.88 (* end of lemma zenon_L92_ *) % 0.69/0.88 assert (zenon_L93_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H130 zenon_H8 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H88 zenon_H8b zenon_H8c zenon_H8d zenon_Hcd zenon_Hb5 zenon_H151 zenon_H14f zenon_H62 zenon_H23 zenon_H11b zenon_H3 zenon_H152 zenon_H12d zenon_H153. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.88 apply (zenon_L83_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.88 apply (zenon_L86_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.88 apply (zenon_L40_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ]. % 0.69/0.88 apply (zenon_L41_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.88 apply (zenon_L41_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ]. % 0.69/0.88 apply (zenon_L89_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ]. % 0.69/0.88 apply (zenon_L91_); trivial. % 0.69/0.88 exact (zenon_H14f zenon_H150). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ]. % 0.69/0.88 apply (zenon_L76_); trivial. % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.88 exact (zenon_H3 zenon_H4). % 0.69/0.88 apply (zenon_L50_); trivial. % 0.69/0.88 (* end of lemma zenon_L93_ *) % 0.69/0.88 assert (zenon_L94_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H159 zenon_Hf zenon_H121 zenon_Hb7 zenon_H123 zenon_H122. % 0.69/0.88 generalize (zenon_H159 (a2069)). zenon_intro zenon_H15a. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H15a); [ zenon_intro zenon_He | zenon_intro zenon_H15b ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H127 | zenon_intro zenon_H15c ]. % 0.69/0.88 exact (zenon_H127 zenon_H121). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H138 | zenon_intro zenon_H129 ]. % 0.69/0.88 apply (zenon_L87_); trivial. % 0.69/0.88 exact (zenon_H129 zenon_H122). % 0.69/0.88 (* end of lemma zenon_L94_ *) % 0.69/0.88 assert (zenon_L95_ : (~(hskp20)) -> (hskp20) -> False). % 0.69/0.88 do 0 intro. intros zenon_H15d zenon_H15e. % 0.69/0.88 exact (zenon_H15d zenon_H15e). % 0.69/0.88 (* end of lemma zenon_L95_ *) % 0.69/0.88 assert (zenon_L96_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2069)) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> (~(c1_1 (a2104))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp11)) -> (~(hskp10)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc4 zenon_H15d zenon_Hf zenon_H121 zenon_H123 zenon_H122 zenon_H15f zenon_H160 zenon_H161 zenon_H162 zenon_H163 zenon_H31 zenon_Hc1. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc7 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.69/0.88 generalize (zenon_H165 (a2104)). zenon_intro zenon_H166. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_He | zenon_intro zenon_H167 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 0.69/0.88 exact (zenon_H15f zenon_H169). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.69/0.88 generalize (zenon_H160 (a2104)). zenon_intro zenon_H16c. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_He | zenon_intro zenon_H16d ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ]. % 0.69/0.88 exact (zenon_H161 zenon_H16f). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16a ]. % 0.69/0.88 exact (zenon_H16b zenon_H170). % 0.69/0.88 exact (zenon_H16a zenon_H162). % 0.69/0.88 exact (zenon_H16a zenon_H162). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ]. % 0.69/0.88 apply (zenon_L94_); trivial. % 0.69/0.88 exact (zenon_H15d zenon_H15e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H32 | zenon_intro zenon_Hc2 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.88 (* end of lemma zenon_L96_ *) % 0.69/0.88 assert (zenon_L97_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a2104))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H94 zenon_Hf zenon_H15f zenon_H27 zenon_H161 zenon_H162. % 0.69/0.88 generalize (zenon_H94 (a2104)). zenon_intro zenon_H171. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_He | zenon_intro zenon_H172 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H169 | zenon_intro zenon_H16e ]. % 0.69/0.88 exact (zenon_H15f zenon_H169). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16a ]. % 0.69/0.88 generalize (zenon_H27 (a2104)). zenon_intro zenon_H173. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_He | zenon_intro zenon_H174 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H16f | zenon_intro zenon_H168 ]. % 0.69/0.88 exact (zenon_H161 zenon_H16f). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.69/0.88 exact (zenon_H16b zenon_H170). % 0.69/0.88 exact (zenon_H16a zenon_H162). % 0.69/0.88 exact (zenon_H16a zenon_H162). % 0.69/0.88 (* end of lemma zenon_L97_ *) % 0.69/0.88 assert (zenon_L98_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (c3_1 (a2104)) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp11)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H36 zenon_H162 zenon_H161 zenon_H15f zenon_Hf zenon_H94 zenon_H31 zenon_H33. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.69/0.88 apply (zenon_L97_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L98_ *) % 0.69/0.88 assert (zenon_L99_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> False). % 0.69/0.88 do 0 intro. intros zenon_He7 zenon_Hf zenon_H175 zenon_H176 zenon_H177. % 0.69/0.88 generalize (zenon_He7 (a2082)). zenon_intro zenon_H178. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_He | zenon_intro zenon_H179 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ]. % 0.69/0.88 exact (zenon_H175 zenon_H17b). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ]. % 0.69/0.88 exact (zenon_H17d zenon_H176). % 0.69/0.88 exact (zenon_H17c zenon_H177). % 0.69/0.88 (* end of lemma zenon_L99_ *) % 0.69/0.88 assert (zenon_L100_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H17e zenon_Hf zenon_H17f zenon_H180 zenon_H181. % 0.69/0.88 generalize (zenon_H17e (a2130)). zenon_intro zenon_H182. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_He | zenon_intro zenon_H183 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H185 | zenon_intro zenon_H184 ]. % 0.69/0.88 exact (zenon_H17f zenon_H185). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ]. % 0.69/0.88 exact (zenon_H180 zenon_H187). % 0.69/0.88 exact (zenon_H181 zenon_H186). % 0.69/0.88 (* end of lemma zenon_L100_ *) % 0.69/0.88 assert (zenon_L101_ : (~(hskp14)) -> (hskp14) -> False). % 0.69/0.88 do 0 intro. intros zenon_H188 zenon_H189. % 0.69/0.88 exact (zenon_H188 zenon_H189). % 0.69/0.88 (* end of lemma zenon_L101_ *) % 0.69/0.88 assert (zenon_L102_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (~(hskp14)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H18a zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H188. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He7 | zenon_intro zenon_H18e ]. % 0.69/0.88 apply (zenon_L99_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H189 ]. % 0.69/0.88 apply (zenon_L100_); trivial. % 0.69/0.88 exact (zenon_H188 zenon_H189). % 0.69/0.88 (* end of lemma zenon_L102_ *) % 0.69/0.88 assert (zenon_L103_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H18f zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_Hcf zenon_Hcc zenon_H136 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H163 zenon_H36 zenon_H33 zenon_H23 zenon_H191 zenon_H12d zenon_H3b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.88 apply (zenon_L86_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.69/0.88 apply (zenon_L96_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.69/0.88 apply (zenon_L98_); trivial. % 0.69/0.88 exact (zenon_H23 zenon_H24). % 0.69/0.88 apply (zenon_L50_); trivial. % 0.69/0.88 apply (zenon_L17_); trivial. % 0.69/0.88 apply (zenon_L102_); trivial. % 0.69/0.88 (* end of lemma zenon_L103_ *) % 0.69/0.88 assert (zenon_L104_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H195 zenon_Hf zenon_H196 zenon_H197 zenon_H198. % 0.69/0.88 generalize (zenon_H195 (a2097)). zenon_intro zenon_H199. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_He | zenon_intro zenon_H19a ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.69/0.88 exact (zenon_H196 zenon_H19c). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ]. % 0.69/0.88 exact (zenon_H197 zenon_H19e). % 0.69/0.88 exact (zenon_H198 zenon_H19d). % 0.69/0.88 (* end of lemma zenon_L104_ *) % 0.69/0.88 assert (zenon_L105_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Hf zenon_H3 zenon_H41. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ]. % 0.69/0.88 apply (zenon_L104_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H4 | zenon_intro zenon_H42 ]. % 0.69/0.88 exact (zenon_H3 zenon_H4). % 0.69/0.88 exact (zenon_H41 zenon_H42). % 0.69/0.88 (* end of lemma zenon_L105_ *) % 0.69/0.88 assert (zenon_L106_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a1 zenon_H19f zenon_H3 zenon_H41. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.88 apply (zenon_L105_); trivial. % 0.69/0.88 (* end of lemma zenon_L106_ *) % 0.69/0.88 assert (zenon_L107_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hfc zenon_H177 zenon_H176 zenon_H175 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H31. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ]. % 0.69/0.88 apply (zenon_L99_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ]. % 0.69/0.88 apply (zenon_L54_); trivial. % 0.69/0.88 exact (zenon_H31 zenon_H32). % 0.69/0.88 (* end of lemma zenon_L107_ *) % 0.69/0.88 assert (zenon_L108_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H64 zenon_H65 zenon_H33 zenon_H62 zenon_H8 zenon_H41 zenon_H43 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.88 apply (zenon_L107_); trivial. % 0.69/0.88 apply (zenon_L66_); trivial. % 0.69/0.88 (* end of lemma zenon_L108_ *) % 0.69/0.88 assert (zenon_L109_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((hskp23)\/((hskp24)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H114 zenon_Hfc zenon_Hd0 zenon_H1a4 zenon_H19f zenon_H41 zenon_H153 zenon_H152 zenon_H3 zenon_H62 zenon_H151 zenon_Hb5 zenon_Hcd zenon_H95 zenon_H96 zenon_H9e zenon_H136 zenon_H130 zenon_Hc4 zenon_H191 zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_H1a5 zenon_H3b zenon_H36 zenon_H33 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H25 zenon_H3e zenon_H43 zenon_H65 zenon_H64 zenon_Hcb. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.88 apply (zenon_L81_); trivial. % 0.69/0.88 apply (zenon_L18_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.88 apply (zenon_L93_); trivial. % 0.69/0.88 apply (zenon_L17_); trivial. % 0.69/0.88 apply (zenon_L103_); trivial. % 0.69/0.88 apply (zenon_L106_); trivial. % 0.69/0.88 apply (zenon_L66_); trivial. % 0.69/0.88 apply (zenon_L108_); trivial. % 0.69/0.88 (* end of lemma zenon_L109_ *) % 0.69/0.88 assert (zenon_L110_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H4f zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.69/0.88 generalize (zenon_H4f (a2076)). zenon_intro zenon_H1a9. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_He | zenon_intro zenon_H1aa ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.69/0.88 exact (zenon_H1a6 zenon_H1ac). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.69/0.88 exact (zenon_H1ae zenon_H1a7). % 0.69/0.88 exact (zenon_H1ad zenon_H1a8). % 0.69/0.88 (* end of lemma zenon_L110_ *) % 0.69/0.88 assert (zenon_L111_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H65 zenon_H33 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ]. % 0.69/0.88 apply (zenon_L110_); trivial. % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L111_ *) % 0.69/0.88 assert (zenon_L112_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2074))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H8a zenon_Hf zenon_H1af zenon_H1b0 zenon_H1b1. % 0.69/0.88 generalize (zenon_H8a (a2074)). zenon_intro zenon_H1b2. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_He | zenon_intro zenon_H1b3 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 0.69/0.88 exact (zenon_H1af zenon_H1b5). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.69/0.88 exact (zenon_H1b0 zenon_H1b7). % 0.69/0.88 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.88 (* end of lemma zenon_L112_ *) % 0.69/0.88 assert (zenon_L113_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2074)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H10 zenon_Hf zenon_H1b0 zenon_H8a zenon_H1b1. % 0.69/0.88 generalize (zenon_H10 (a2074)). zenon_intro zenon_H1b8. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ba ]. % 0.69/0.88 exact (zenon_H1b0 zenon_H1b7). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b6 ]. % 0.69/0.88 apply (zenon_L112_); trivial. % 0.69/0.88 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.88 (* end of lemma zenon_L113_ *) % 0.69/0.88 assert (zenon_L114_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1bb zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.88 generalize (zenon_H1bb (a2074)). zenon_intro zenon_H1bd. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_He | zenon_intro zenon_H1be ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1bf ]. % 0.69/0.88 exact (zenon_H1b0 zenon_H1b7). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ]. % 0.69/0.88 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.88 exact (zenon_H1c0 zenon_H1bc). % 0.69/0.88 (* end of lemma zenon_L114_ *) % 0.69/0.88 assert (zenon_L115_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c1 zenon_H8a zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hf zenon_H8. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10 | zenon_intro zenon_H1c2 ]. % 0.69/0.88 apply (zenon_L113_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H9 ]. % 0.69/0.88 apply (zenon_L114_); trivial. % 0.69/0.88 exact (zenon_H8 zenon_H9). % 0.69/0.88 (* end of lemma zenon_L115_ *) % 0.69/0.88 assert (zenon_L116_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H4f zenon_Hf zenon_H10 zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.88 generalize (zenon_H4f (a2074)). zenon_intro zenon_H1c3. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_He | zenon_intro zenon_H1c4 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ]. % 0.69/0.88 generalize (zenon_H10 (a2074)). zenon_intro zenon_H1b8. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ba ]. % 0.69/0.88 exact (zenon_H1b0 zenon_H1b7). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b6 ]. % 0.69/0.88 exact (zenon_H1af zenon_H1b5). % 0.69/0.88 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ]. % 0.69/0.88 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.88 exact (zenon_H1c0 zenon_H1bc). % 0.69/0.88 (* end of lemma zenon_L116_ *) % 0.69/0.88 assert (zenon_L117_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> False). % 0.69/0.88 do 0 intro. intros zenon_H65 zenon_H33 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H10 zenon_Hf. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ]. % 0.69/0.88 apply (zenon_L116_); trivial. % 0.69/0.88 exact (zenon_H33 zenon_H34). % 0.69/0.88 (* end of lemma zenon_L117_ *) % 0.69/0.88 assert (zenon_L118_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp9)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hcd zenon_H8 zenon_H1c1 zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H33 zenon_H65 zenon_Hb5. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.88 apply (zenon_L115_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.88 apply (zenon_L117_); trivial. % 0.69/0.88 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.88 (* end of lemma zenon_L118_ *) % 0.69/0.88 assert (zenon_L119_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c5 zenon_H11 zenon_H13 zenon_H14 zenon_H20 zenon_H22 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ]. % 0.69/0.88 apply (zenon_L11_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ]. % 0.69/0.88 apply (zenon_L54_); trivial. % 0.69/0.88 apply (zenon_L114_); trivial. % 0.69/0.88 (* end of lemma zenon_L119_ *) % 0.69/0.88 assert (zenon_L120_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> False). % 0.69/0.88 do 0 intro. intros zenon_He7 zenon_Hf zenon_H28 zenon_H165 zenon_H29 zenon_H2a. % 0.69/0.88 generalize (zenon_He7 (a2140)). zenon_intro zenon_He9. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_He | zenon_intro zenon_Hea ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H2e | zenon_intro zenon_Heb ]. % 0.69/0.88 exact (zenon_H28 zenon_H2e). % 0.69/0.88 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hec | zenon_intro zenon_H30 ]. % 0.69/0.88 generalize (zenon_H165 (a2140)). zenon_intro zenon_H1c7. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_He | zenon_intro zenon_H1c8 ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2d ]. % 0.69/0.88 exact (zenon_Hec zenon_Hf0). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.69/0.88 exact (zenon_H30 zenon_H29). % 0.69/0.88 exact (zenon_H2f zenon_H2a). % 0.69/0.88 exact (zenon_H30 zenon_H29). % 0.69/0.88 (* end of lemma zenon_L120_ *) % 0.69/0.88 assert (zenon_L121_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c9 zenon_H2a zenon_H29 zenon_H28 zenon_He7 zenon_H1bc zenon_H1b1 zenon_H8a zenon_H1b0 zenon_Hf zenon_H41. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ]. % 0.69/0.88 apply (zenon_L120_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ]. % 0.69/0.88 generalize (zenon_H1cb (a2074)). zenon_intro zenon_H1cc. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_He | zenon_intro zenon_H1cd ]. % 0.69/0.88 exact (zenon_He zenon_Hf). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1ce ]. % 0.69/0.88 exact (zenon_H1b0 zenon_H1b7). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1af | zenon_intro zenon_H1c0 ]. % 0.69/0.89 apply (zenon_L112_); trivial. % 0.69/0.89 exact (zenon_H1c0 zenon_H1bc). % 0.69/0.89 exact (zenon_H41 zenon_H42). % 0.69/0.89 (* end of lemma zenon_L121_ *) % 0.69/0.89 assert (zenon_L122_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_He5 zenon_H31 zenon_H1c9 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41 zenon_Hfc zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ]. % 0.69/0.89 apply (zenon_L121_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ]. % 0.69/0.89 apply (zenon_L54_); trivial. % 0.69/0.89 exact (zenon_H31 zenon_H32). % 0.69/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.69/0.89 apply (zenon_L54_); trivial. % 0.69/0.89 exact (zenon_H7c zenon_H7d). % 0.69/0.89 (* end of lemma zenon_L122_ *) % 0.69/0.89 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc8 zenon_H1cf zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.89 apply (zenon_L114_); trivial. % 0.69/0.89 exact (zenon_H41 zenon_H42). % 0.69/0.89 (* end of lemma zenon_L123_ *) % 0.69/0.89 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H3e zenon_H3b zenon_He5 zenon_H1c9 zenon_Hfc zenon_H22 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_Hd0. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.89 apply (zenon_L36_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.89 apply (zenon_L119_); trivial. % 0.69/0.89 apply (zenon_L122_); trivial. % 0.69/0.89 apply (zenon_L59_); trivial. % 0.69/0.89 apply (zenon_L123_); trivial. % 0.69/0.89 (* end of lemma zenon_L124_ *) % 0.69/0.89 assert (zenon_L125_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H165 zenon_Hf zenon_H106 zenon_H107 zenon_H108. % 0.69/0.89 generalize (zenon_H165 (a2084)). zenon_intro zenon_H1d1. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_He | zenon_intro zenon_H1d2 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H10c | zenon_intro zenon_H111 ]. % 0.69/0.89 exact (zenon_H106 zenon_H10c). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H10d ]. % 0.69/0.89 exact (zenon_H113 zenon_H107). % 0.69/0.89 exact (zenon_H10d zenon_H108). % 0.69/0.89 (* end of lemma zenon_L125_ *) % 0.69/0.89 assert (zenon_L126_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ]. % 0.69/0.89 apply (zenon_L125_); trivial. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 (* end of lemma zenon_L126_ *) % 0.69/0.89 assert (zenon_L127_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_H65 zenon_H33 zenon_H46 zenon_H47 zenon_H48 zenon_H1b1 zenon_H1bc zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H34 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.89 generalize (zenon_H59 (a2074)). zenon_intro zenon_H1d5. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_He | zenon_intro zenon_H1d6 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1af | zenon_intro zenon_H1bf ]. % 0.69/0.89 generalize (zenon_H4f (a2074)). zenon_intro zenon_H1c3. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_He | zenon_intro zenon_H1c4 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1bf ]. % 0.69/0.89 exact (zenon_H1af zenon_H1b5). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ]. % 0.69/0.89 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.89 exact (zenon_H1c0 zenon_H1bc). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1c0 ]. % 0.69/0.89 exact (zenon_H1b6 zenon_H1b1). % 0.69/0.89 exact (zenon_H1c0 zenon_H1bc). % 0.69/0.89 apply (zenon_L76_); trivial. % 0.69/0.89 exact (zenon_H33 zenon_H34). % 0.69/0.89 (* end of lemma zenon_L127_ *) % 0.69/0.89 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc8 zenon_H12d zenon_H65 zenon_H33 zenon_H1b1 zenon_H1bc zenon_H62 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L126_); trivial. % 0.69/0.89 apply (zenon_L127_); trivial. % 0.69/0.89 (* end of lemma zenon_L128_ *) % 0.69/0.89 assert (zenon_L129_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcb zenon_H12d zenon_H65 zenon_H1b1 zenon_H1bc zenon_H62 zenon_H1d3 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H33 zenon_H36. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_L65_); trivial. % 0.69/0.89 apply (zenon_L128_); trivial. % 0.69/0.89 (* end of lemma zenon_L129_ *) % 0.69/0.89 assert (zenon_L130_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_L107_); trivial. % 0.69/0.89 apply (zenon_L123_); trivial. % 0.69/0.89 (* end of lemma zenon_L130_ *) % 0.69/0.89 assert (zenon_L131_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H114 zenon_H1cf zenon_H41 zenon_Hfc zenon_H36 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H12d zenon_Hcb zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H65 zenon_H33 zenon_Hcd. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.89 apply (zenon_L118_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.89 apply (zenon_L129_); trivial. % 0.69/0.89 apply (zenon_L130_); trivial. % 0.69/0.89 (* end of lemma zenon_L131_ *) % 0.69/0.89 assert (zenon_L132_ : ((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1da zenon_H65 zenon_H33. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.69/0.89 apply (zenon_L111_); trivial. % 0.69/0.89 (* end of lemma zenon_L132_ *) % 0.69/0.89 assert (zenon_L133_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_H7c zenon_Ha3 zenon_Hc zenon_H8 zenon_H6 zenon_H25 zenon_H23 zenon_H22 zenon_H33 zenon_H36 zenon_H3b zenon_H3e. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_L19_); trivial. % 0.69/0.89 apply (zenon_L51_); trivial. % 0.69/0.89 (* end of lemma zenon_L133_ *) % 0.69/0.89 assert (zenon_L134_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2072)) -> False). % 0.69/0.89 do 0 intro. intros zenon_He8 zenon_Hf zenon_H1dd zenon_H1de zenon_H1df. % 0.69/0.89 generalize (zenon_He8 (a2072)). zenon_intro zenon_H1e0. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_He | zenon_intro zenon_H1e1 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ]. % 0.69/0.89 exact (zenon_H1dd zenon_H1e3). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ]. % 0.69/0.89 exact (zenon_H1de zenon_H1e5). % 0.69/0.89 exact (zenon_H1e4 zenon_H1df). % 0.69/0.89 (* end of lemma zenon_L134_ *) % 0.69/0.89 assert (zenon_L135_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H17e zenon_Hf zenon_H1de zenon_He8 zenon_H1dd zenon_H1e6. % 0.69/0.89 generalize (zenon_H17e (a2072)). zenon_intro zenon_H1e7. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_He | zenon_intro zenon_H1e8 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e9 ]. % 0.69/0.89 exact (zenon_H1de zenon_H1e5). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ea ]. % 0.69/0.89 apply (zenon_L134_); trivial. % 0.69/0.89 exact (zenon_H1e6 zenon_H1ea). % 0.69/0.89 (* end of lemma zenon_L135_ *) % 0.69/0.89 assert (zenon_L136_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2072))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H1e6 zenon_H1dd zenon_He8 zenon_H1de zenon_Hf zenon_H188. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_He7 | zenon_intro zenon_H18e ]. % 0.69/0.89 apply (zenon_L99_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H189 ]. % 0.69/0.89 apply (zenon_L135_); trivial. % 0.69/0.89 exact (zenon_H188 zenon_H189). % 0.69/0.89 (* end of lemma zenon_L136_ *) % 0.69/0.89 assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp14)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_Hfb zenon_H188 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_L136_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.89 apply (zenon_L14_); trivial. % 0.69/0.89 apply (zenon_L57_); trivial. % 0.69/0.89 (* end of lemma zenon_L137_ *) % 0.69/0.89 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H8 zenon_H23 zenon_H25. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.89 apply (zenon_L13_); trivial. % 0.69/0.89 apply (zenon_L137_); trivial. % 0.69/0.89 (* end of lemma zenon_L138_ *) % 0.69/0.89 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H100 zenon_H3e zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.89 apply (zenon_L7_); trivial. % 0.69/0.89 apply (zenon_L138_); trivial. % 0.69/0.89 (* end of lemma zenon_L139_ *) % 0.69/0.89 assert (zenon_L140_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp6)) -> (~(hskp5)) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H22 zenon_H23 zenon_H25 zenon_H6 zenon_H8 zenon_Hc zenon_H3 zenon_H5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.89 apply (zenon_L3_); trivial. % 0.69/0.89 apply (zenon_L139_); trivial. % 0.69/0.89 (* end of lemma zenon_L140_ *) % 0.69/0.89 assert (zenon_L141_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp1)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1eb zenon_H198 zenon_H197 zenon_H196 zenon_Hf zenon_H11d zenon_Ha3. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H195 | zenon_intro zenon_H1ec ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H11e | zenon_intro zenon_Ha4 ]. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.89 (* end of lemma zenon_L141_ *) % 0.69/0.89 assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp0)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_H1ed zenon_H198 zenon_H197 zenon_H196 zenon_H33. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H195 | zenon_intro zenon_H1ee ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 0.69/0.89 apply (zenon_L76_); trivial. % 0.69/0.89 exact (zenon_H33 zenon_H34). % 0.69/0.89 (* end of lemma zenon_L142_ *) % 0.69/0.89 assert (zenon_L143_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a1 zenon_H12d zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L141_); trivial. % 0.69/0.89 apply (zenon_L142_); trivial. % 0.69/0.89 (* end of lemma zenon_L143_ *) % 0.69/0.89 assert (zenon_L144_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1ef zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6. % 0.69/0.89 generalize (zenon_H1ef (a2072)). zenon_intro zenon_H1f0. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_He | zenon_intro zenon_H1f1 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1f2 ]. % 0.69/0.89 exact (zenon_H1dd zenon_H1e3). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1ea ]. % 0.69/0.89 exact (zenon_H1de zenon_H1e5). % 0.69/0.89 exact (zenon_H1e6 zenon_H1ea). % 0.69/0.89 (* end of lemma zenon_L144_ *) % 0.69/0.89 assert (zenon_L145_ : (~(hskp28)) -> (hskp28) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1f3 zenon_H1f4. % 0.69/0.89 exact (zenon_H1f3 zenon_H1f4). % 0.69/0.89 (* end of lemma zenon_L145_ *) % 0.69/0.89 assert (zenon_L146_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp5)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1f3 zenon_H8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f6 ]. % 0.69/0.89 apply (zenon_L144_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H9 ]. % 0.69/0.89 exact (zenon_H1f3 zenon_H1f4). % 0.69/0.89 exact (zenon_H8 zenon_H9). % 0.69/0.89 (* end of lemma zenon_L146_ *) % 0.69/0.89 assert (zenon_L147_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1f7 zenon_Hf zenon_H96 zenon_H94 zenon_H95 zenon_H9e. % 0.69/0.89 generalize (zenon_H1f7 (a2078)). zenon_intro zenon_H1f8. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_He | zenon_intro zenon_H1f9 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha1 ]. % 0.69/0.89 exact (zenon_H96 zenon_H9d). % 0.69/0.89 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha2 ]. % 0.69/0.89 apply (zenon_L42_); trivial. % 0.69/0.89 exact (zenon_Ha2 zenon_H9e). % 0.69/0.89 (* end of lemma zenon_L147_ *) % 0.69/0.89 assert (zenon_L148_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2075)) -> (c1_1 (a2075)) -> (c2_1 (a2075)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H159 zenon_Hf zenon_H1fa zenon_H1fb zenon_H1fc. % 0.69/0.89 generalize (zenon_H159 (a2075)). zenon_intro zenon_H1fd. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_He | zenon_intro zenon_H1fe ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.69/0.89 exact (zenon_H200 zenon_H1fa). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ]. % 0.69/0.89 exact (zenon_H202 zenon_H1fb). % 0.69/0.89 exact (zenon_H201 zenon_H1fc). % 0.69/0.89 (* end of lemma zenon_L148_ *) % 0.69/0.89 assert (zenon_L149_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (c2_1 (a2075)) -> (c1_1 (a2075)) -> (c0_1 (a2075)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H1fc zenon_H1fb zenon_H1fa zenon_Hf zenon_H31. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H204 ]. % 0.69/0.89 apply (zenon_L147_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H159 | zenon_intro zenon_H32 ]. % 0.69/0.89 apply (zenon_L148_); trivial. % 0.69/0.89 exact (zenon_H31 zenon_H32). % 0.69/0.89 (* end of lemma zenon_L149_ *) % 0.69/0.89 assert (zenon_L150_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> False). % 0.69/0.89 do 0 intro. intros zenon_H22 zenon_H20 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H79 zenon_Hf. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 0.69/0.89 apply (zenon_L46_); trivial. % 0.69/0.89 exact (zenon_H20 zenon_H21). % 0.69/0.89 (* end of lemma zenon_L150_ *) % 0.69/0.89 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H205 zenon_Hce zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H20 zenon_H22 zenon_H7c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H94 | zenon_intro zenon_H7f ]. % 0.69/0.89 apply (zenon_L149_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.89 apply (zenon_L150_); trivial. % 0.69/0.89 exact (zenon_H7c zenon_H7d). % 0.69/0.89 (* end of lemma zenon_L151_ *) % 0.69/0.89 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hd4 zenon_H208 zenon_Hce zenon_H7c zenon_H20 zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.89 apply (zenon_L146_); trivial. % 0.69/0.89 apply (zenon_L151_); trivial. % 0.69/0.89 (* end of lemma zenon_L152_ *) % 0.69/0.89 assert (zenon_L153_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H88 zenon_H8 zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H203 zenon_H31 zenon_H9e zenon_H95 zenon_H96 zenon_H22 zenon_H20 zenon_H7c zenon_Hce zenon_H208 zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L40_); trivial. % 0.69/0.89 apply (zenon_L152_); trivial. % 0.69/0.89 apply (zenon_L50_); trivial. % 0.69/0.89 (* end of lemma zenon_L153_ *) % 0.69/0.89 assert (zenon_L154_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H3b zenon_H36 zenon_H33 zenon_Hcc zenon_H208 zenon_Hce zenon_H7c zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H8 zenon_H88 zenon_Hc1 zenon_Hc4 zenon_Hcf. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.89 apply (zenon_L153_); trivial. % 0.69/0.89 apply (zenon_L17_); trivial. % 0.69/0.89 (* end of lemma zenon_L154_ *) % 0.69/0.89 assert (zenon_L155_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H88 zenon_H8 zenon_H1f5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H203 zenon_H9e zenon_H95 zenon_H96 zenon_H22 zenon_H7c zenon_Hce zenon_H208 zenon_Hcc zenon_H33 zenon_H36 zenon_H3b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_L154_); trivial. % 0.69/0.89 apply (zenon_L51_); trivial. % 0.69/0.89 (* end of lemma zenon_L155_ *) % 0.69/0.89 assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp4)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H103 zenon_H209 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H23. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20a ]. % 0.69/0.89 apply (zenon_L144_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hdb | zenon_intro zenon_H24 ]. % 0.69/0.89 apply (zenon_L54_); trivial. % 0.69/0.89 exact (zenon_H23 zenon_H24). % 0.69/0.89 (* end of lemma zenon_L156_ *) % 0.69/0.89 assert (zenon_L157_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> (~(hskp1)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H3b zenon_H36 zenon_H33 zenon_Hcc zenon_H208 zenon_Hce zenon_H7c zenon_H22 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H8 zenon_H88 zenon_Hc4 zenon_Hcf zenon_Ha3 zenon_Ha5 zenon_Hcb. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.89 apply (zenon_L155_); trivial. % 0.69/0.89 apply (zenon_L156_); trivial. % 0.69/0.89 (* end of lemma zenon_L157_ *) % 0.69/0.89 assert (zenon_L158_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19))))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12 zenon_Hf zenon_H1dd zenon_He8 zenon_H1de zenon_H1e6. % 0.69/0.89 generalize (zenon_H12 (a2072)). zenon_intro zenon_H20b. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_He | zenon_intro zenon_H20c ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e9 ]. % 0.69/0.89 exact (zenon_H1dd zenon_H1e3). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1df | zenon_intro zenon_H1ea ]. % 0.69/0.89 apply (zenon_L134_); trivial. % 0.69/0.89 exact (zenon_H1e6 zenon_H1ea). % 0.69/0.89 (* end of lemma zenon_L158_ *) % 0.69/0.89 assert (zenon_L159_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H25 zenon_H1e6 zenon_H1de zenon_He8 zenon_H1dd zenon_Hf zenon_H8 zenon_H23. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H12 | zenon_intro zenon_H26 ]. % 0.69/0.89 apply (zenon_L158_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H9 | zenon_intro zenon_H24 ]. % 0.69/0.89 exact (zenon_H8 zenon_H9). % 0.69/0.89 exact (zenon_H23 zenon_H24). % 0.69/0.89 (* end of lemma zenon_L159_ *) % 0.69/0.89 assert (zenon_L160_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp27)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H20d zenon_H23 zenon_H8 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H84. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ]. % 0.69/0.89 apply (zenon_L144_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ]. % 0.69/0.89 apply (zenon_L159_); trivial. % 0.69/0.89 exact (zenon_H84 zenon_H85). % 0.69/0.89 (* end of lemma zenon_L160_ *) % 0.69/0.89 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp4)) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (~(hskp16)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp9)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H205 zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_H23 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H151 zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H14a zenon_H142 zenon_H141 zenon_H14f zenon_H11b zenon_Hb5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.89 apply (zenon_L41_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ]. % 0.69/0.89 apply (zenon_L149_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ]. % 0.69/0.89 apply (zenon_L91_); trivial. % 0.69/0.89 exact (zenon_H14f zenon_H150). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ]. % 0.69/0.89 apply (zenon_L70_); trivial. % 0.69/0.89 exact (zenon_H23 zenon_H24). % 0.69/0.89 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.89 (* end of lemma zenon_L161_ *) % 0.69/0.89 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H154 zenon_Hcc zenon_H208 zenon_Hcd zenon_Hb5 zenon_H151 zenon_H14f zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_H11b zenon_H8d zenon_H8c zenon_H8b zenon_H1f5 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L160_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.89 apply (zenon_L146_); trivial. % 0.69/0.89 apply (zenon_L161_); trivial. % 0.69/0.89 (* end of lemma zenon_L162_ *) % 0.69/0.89 assert (zenon_L163_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H130 zenon_H8 zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H1f5 zenon_H8b zenon_H8c zenon_H8d zenon_H11b zenon_H203 zenon_H31 zenon_H9e zenon_H95 zenon_H96 zenon_H14f zenon_H151 zenon_Hb5 zenon_Hcd zenon_H208 zenon_Hcc zenon_H153. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.89 apply (zenon_L83_); trivial. % 0.69/0.89 apply (zenon_L162_); trivial. % 0.69/0.89 apply (zenon_L50_); trivial. % 0.69/0.89 (* end of lemma zenon_L163_ *) % 0.69/0.89 assert (zenon_L164_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> ((hskp23)\/((hskp24)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp11)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hd0 zenon_Hc4 zenon_Hc1 zenon_H130 zenon_H20d zenon_H1f5 zenon_H203 zenon_H9e zenon_H95 zenon_H96 zenon_H151 zenon_Hb5 zenon_Hcd zenon_H208 zenon_H153 zenon_H191 zenon_H163 zenon_H136 zenon_H190 zenon_H1a5 zenon_Hff zenon_H3e zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H18b zenon_H25 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H31 zenon_H33 zenon_H36 zenon_H3b zenon_H3 zenon_H5 zenon_H1eb zenon_Ha3 zenon_H1ed zenon_H1a4. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.89 apply (zenon_L3_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.89 apply (zenon_L81_); trivial. % 0.69/0.89 apply (zenon_L138_); trivial. % 0.69/0.89 apply (zenon_L143_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.89 apply (zenon_L163_); trivial. % 0.69/0.89 apply (zenon_L103_); trivial. % 0.69/0.89 apply (zenon_L143_); trivial. % 0.69/0.89 (* end of lemma zenon_L164_ *) % 0.69/0.89 assert (zenon_L165_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H59 zenon_Hf zenon_Ha9 zenon_Ha7 zenon_Ha8. % 0.69/0.89 generalize (zenon_H59 (a2073)). zenon_intro zenon_H20f. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_He | zenon_intro zenon_H210 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H211 ]. % 0.69/0.89 exact (zenon_Hb4 zenon_Ha9). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb2 ]. % 0.69/0.89 exact (zenon_Hb1 zenon_Ha7). % 0.69/0.89 exact (zenon_Hb2 zenon_Ha8). % 0.69/0.89 (* end of lemma zenon_L165_ *) % 0.69/0.89 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hd4 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H121 zenon_H122 zenon_H123. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.89 apply (zenon_L165_); trivial. % 0.69/0.89 apply (zenon_L76_); trivial. % 0.69/0.89 (* end of lemma zenon_L166_ *) % 0.69/0.89 assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L160_); trivial. % 0.69/0.89 apply (zenon_L166_); trivial. % 0.69/0.89 (* end of lemma zenon_L167_ *) % 0.69/0.89 assert (zenon_L168_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12d zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H20d zenon_H88 zenon_H8 zenon_H86 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H20 zenon_H136 zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L86_); trivial. % 0.69/0.89 apply (zenon_L167_); trivial. % 0.69/0.89 (* end of lemma zenon_L168_ *) % 0.69/0.89 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H20d zenon_H8 zenon_H11f. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L75_); trivial. % 0.69/0.89 apply (zenon_L167_); trivial. % 0.69/0.89 (* end of lemma zenon_L169_ *) % 0.69/0.89 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(hskp26)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H205 zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H11d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.89 apply (zenon_L14_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.89 apply (zenon_L148_); trivial. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 (* end of lemma zenon_L170_ *) % 0.69/0.89 assert (zenon_L171_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H208 zenon_H212 zenon_H11d zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.89 apply (zenon_L146_); trivial. % 0.69/0.89 apply (zenon_L170_); trivial. % 0.69/0.89 (* end of lemma zenon_L171_ *) % 0.69/0.89 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L40_); trivial. % 0.69/0.89 apply (zenon_L166_); trivial. % 0.69/0.89 (* end of lemma zenon_L172_ *) % 0.69/0.89 assert (zenon_L173_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H88 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_H208. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L171_); trivial. % 0.69/0.89 apply (zenon_L172_); trivial. % 0.69/0.89 (* end of lemma zenon_L173_ *) % 0.69/0.89 assert (zenon_L174_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_Hcf zenon_H25 zenon_H23 zenon_H20d zenon_H11f zenon_H208 zenon_H212 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H88 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_L173_); trivial. % 0.69/0.89 apply (zenon_L169_); trivial. % 0.69/0.89 (* end of lemma zenon_L174_ *) % 0.69/0.89 assert (zenon_L175_ : (~(hskp7)) -> (hskp7) -> False). % 0.69/0.89 do 0 intro. intros zenon_H214 zenon_H215. % 0.69/0.89 exact (zenon_H214 zenon_H215). % 0.69/0.89 (* end of lemma zenon_L175_ *) % 0.69/0.89 assert (zenon_L176_ : (~(hskp15)) -> (hskp15) -> False). % 0.69/0.89 do 0 intro. intros zenon_H216 zenon_H217. % 0.69/0.89 exact (zenon_H216 zenon_H217). % 0.69/0.89 (* end of lemma zenon_L176_ *) % 0.69/0.89 assert (zenon_L177_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp15)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H218 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H214 zenon_H216. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H165 | zenon_intro zenon_H219 ]. % 0.69/0.89 apply (zenon_L125_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H215 | zenon_intro zenon_H217 ]. % 0.69/0.89 exact (zenon_H214 zenon_H215). % 0.69/0.89 exact (zenon_H216 zenon_H217). % 0.69/0.89 (* end of lemma zenon_L177_ *) % 0.69/0.89 assert (zenon_L178_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c1_1 (a2078))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1d3 zenon_H9e zenon_H96 zenon_H94 zenon_H95 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ]. % 0.69/0.89 apply (zenon_L43_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ]. % 0.69/0.89 apply (zenon_L125_); trivial. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 (* end of lemma zenon_L178_ *) % 0.69/0.89 assert (zenon_L179_ : ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (~(hskp18)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H21a zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H95 zenon_H96 zenon_H9e zenon_H1d3 zenon_H11d zenon_Ha. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H94 | zenon_intro zenon_H21b ]. % 0.69/0.89 apply (zenon_L178_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H11e | zenon_intro zenon_Hb ]. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 exact (zenon_Ha zenon_Hb). % 0.69/0.89 (* end of lemma zenon_L179_ *) % 0.69/0.89 assert (zenon_L180_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H9e zenon_H96 zenon_H95 zenon_Hf zenon_Ha zenon_H21a. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L179_); trivial. % 0.69/0.89 apply (zenon_L167_); trivial. % 0.69/0.89 (* end of lemma zenon_L180_ *) % 0.69/0.89 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc3 zenon_H152 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ]. % 0.69/0.89 apply (zenon_L53_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ]. % 0.69/0.89 apply (zenon_L48_); trivial. % 0.69/0.89 exact (zenon_H3 zenon_H4). % 0.69/0.89 (* end of lemma zenon_L181_ *) % 0.69/0.89 assert (zenon_L182_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcf zenon_H152 zenon_H3 zenon_H11 zenon_H14 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H12d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_L168_); trivial. % 0.69/0.89 apply (zenon_L181_); trivial. % 0.69/0.89 (* end of lemma zenon_L182_ *) % 0.69/0.89 assert (zenon_L183_ : (forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67)))))) -> (ndr1_0) -> (~(c2_1 (a2099))) -> (~(c3_1 (a2099))) -> (c0_1 (a2099)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1f7 zenon_Hf zenon_H21c zenon_H21d zenon_H21e. % 0.69/0.89 generalize (zenon_H1f7 (a2099)). zenon_intro zenon_H21f. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_He | zenon_intro zenon_H220 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.69/0.89 exact (zenon_H21c zenon_H222). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ]. % 0.69/0.89 exact (zenon_H21d zenon_H224). % 0.69/0.89 exact (zenon_H223 zenon_H21e). % 0.69/0.89 (* end of lemma zenon_L183_ *) % 0.69/0.89 assert (zenon_L184_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> (~(hskp16)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_H225 zenon_H21e zenon_H21d zenon_H21c zenon_H14f. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H27 | zenon_intro zenon_H226 ]. % 0.69/0.89 apply (zenon_L14_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H150 ]. % 0.69/0.89 apply (zenon_L183_); trivial. % 0.69/0.89 exact (zenon_H14f zenon_H150). % 0.69/0.89 (* end of lemma zenon_L184_ *) % 0.69/0.89 assert (zenon_L185_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (c3_1 (a2104)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H227 zenon_Hf zenon_H161 zenon_H15f zenon_H162. % 0.69/0.89 generalize (zenon_H227 (a2104)). zenon_intro zenon_H228. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_He | zenon_intro zenon_H229 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H16f | zenon_intro zenon_H22a ]. % 0.69/0.89 exact (zenon_H161 zenon_H16f). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H169 | zenon_intro zenon_H16a ]. % 0.69/0.89 exact (zenon_H15f zenon_H169). % 0.69/0.89 exact (zenon_H16a zenon_H162). % 0.69/0.89 (* end of lemma zenon_L185_ *) % 0.69/0.89 assert (zenon_L186_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H22b zenon_Hf zenon_H11 zenon_H13 zenon_H14. % 0.69/0.89 generalize (zenon_H22b (a2116)). zenon_intro zenon_H22c. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_He | zenon_intro zenon_H22d ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H18 | zenon_intro zenon_H22e ]. % 0.69/0.89 exact (zenon_H11 zenon_H18). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ]. % 0.69/0.89 exact (zenon_H13 zenon_H1f). % 0.69/0.89 exact (zenon_H19 zenon_H14). % 0.69/0.89 (* end of lemma zenon_L186_ *) % 0.69/0.89 assert (zenon_L187_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H3a zenon_H22f zenon_H162 zenon_H15f zenon_H161 zenon_H108 zenon_H107 zenon_H106. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ]. % 0.69/0.89 apply (zenon_L185_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ]. % 0.69/0.89 apply (zenon_L125_); trivial. % 0.69/0.89 apply (zenon_L186_); trivial. % 0.69/0.89 (* end of lemma zenon_L187_ *) % 0.69/0.89 assert (zenon_L188_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H18f zenon_H3e zenon_H22f zenon_H21a zenon_H95 zenon_H96 zenon_H9e zenon_H106 zenon_H107 zenon_H108 zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.89 apply (zenon_L180_); trivial. % 0.69/0.89 apply (zenon_L187_); trivial. % 0.69/0.89 (* end of lemma zenon_L188_ *) % 0.69/0.89 assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H22f zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H8 zenon_H20d zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H9e zenon_H96 zenon_H95 zenon_H21a zenon_Hcf zenon_H152 zenon_H3 zenon_H136 zenon_H22 zenon_H88 zenon_H225 zenon_H3b zenon_H3e. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.89 apply (zenon_L180_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.89 apply (zenon_L182_); trivial. % 0.69/0.89 apply (zenon_L184_); trivial. % 0.69/0.89 apply (zenon_L188_); trivial. % 0.69/0.89 (* end of lemma zenon_L189_ *) % 0.69/0.89 assert (zenon_L190_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((hskp26)\/(hskp18))) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H36 zenon_H33 zenon_Hc4 zenon_H218 zenon_H214 zenon_H3e zenon_H3b zenon_H225 zenon_H88 zenon_H22 zenon_H136 zenon_H3 zenon_H152 zenon_Hcf zenon_H21a zenon_H95 zenon_H96 zenon_H9e zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_Hcc zenon_H12d zenon_H22f zenon_H1a5 zenon_H234 zenon_Hcb. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.89 apply (zenon_L65_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ]. % 0.69/0.89 apply (zenon_L177_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 apply (zenon_L156_); trivial. % 0.69/0.89 (* end of lemma zenon_L190_ *) % 0.69/0.89 assert (zenon_L191_ : ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H235 zenon_H12e zenon_H69 zenon_Hc1. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12f | zenon_intro zenon_H236 ]. % 0.69/0.89 exact (zenon_H12e zenon_H12f). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc2 ]. % 0.69/0.89 exact (zenon_H69 zenon_H6a). % 0.69/0.89 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.89 (* end of lemma zenon_L191_ *) % 0.69/0.89 assert (zenon_L192_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H237 zenon_Hf zenon_H141 zenon_H142 zenon_H14a. % 0.69/0.89 generalize (zenon_H237 (a2160)). zenon_intro zenon_H238. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_He | zenon_intro zenon_H239 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H148 | zenon_intro zenon_H23a ]. % 0.69/0.89 exact (zenon_H141 zenon_H148). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H147 | zenon_intro zenon_H14e ]. % 0.69/0.89 exact (zenon_H147 zenon_H142). % 0.69/0.89 exact (zenon_H14e zenon_H14a). % 0.69/0.89 (* end of lemma zenon_L192_ *) % 0.69/0.89 assert (zenon_L193_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H23b zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H5c zenon_H14a zenon_H142 zenon_H141 zenon_Hf zenon_H69. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.89 apply (zenon_L70_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.89 apply (zenon_L192_); trivial. % 0.69/0.89 exact (zenon_H69 zenon_H6a). % 0.69/0.89 (* end of lemma zenon_L193_ *) % 0.69/0.89 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2160)) -> (c1_1 (a2160)) -> (~(c3_1 (a2160))) -> (~(hskp12)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hd4 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H23b zenon_H14a zenon_H142 zenon_H141 zenon_H69. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.89 apply (zenon_L165_); trivial. % 0.69/0.89 apply (zenon_L193_); trivial. % 0.69/0.89 (* end of lemma zenon_L194_ *) % 0.69/0.89 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H154 zenon_Hcc zenon_H62 zenon_H69 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L40_); trivial. % 0.69/0.89 apply (zenon_L194_); trivial. % 0.69/0.89 (* end of lemma zenon_L195_ *) % 0.69/0.89 assert (zenon_L196_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H86 zenon_H8 zenon_H88 zenon_H69 zenon_Hc1 zenon_H235. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.89 apply (zenon_L191_); trivial. % 0.69/0.89 apply (zenon_L195_); trivial. % 0.69/0.89 (* end of lemma zenon_L196_ *) % 0.69/0.89 assert (zenon_L197_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H59 zenon_Hf zenon_H121 zenon_H165 zenon_H122 zenon_H123. % 0.69/0.89 generalize (zenon_H59 (a2069)). zenon_intro zenon_H13d. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_He | zenon_intro zenon_H13e ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H127 | zenon_intro zenon_H13f ]. % 0.69/0.89 exact (zenon_H127 zenon_H121). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H138 | zenon_intro zenon_H128 ]. % 0.69/0.89 generalize (zenon_H165 (a2069)). zenon_intro zenon_H23d. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_He | zenon_intro zenon_H23e ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H13c | zenon_intro zenon_H126 ]. % 0.69/0.89 exact (zenon_H138 zenon_H13c). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.69/0.89 exact (zenon_H129 zenon_H122). % 0.69/0.89 exact (zenon_H128 zenon_H123). % 0.69/0.89 exact (zenon_H128 zenon_H123). % 0.69/0.89 (* end of lemma zenon_L197_ *) % 0.69/0.89 assert (zenon_L198_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (c2_1 (a2079)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H159 zenon_Hf zenon_H23f zenon_H240 zenon_H241. % 0.69/0.89 generalize (zenon_H159 (a2079)). zenon_intro zenon_H242. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_He | zenon_intro zenon_H243 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ]. % 0.69/0.89 exact (zenon_H245 zenon_H23f). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.69/0.89 exact (zenon_H247 zenon_H240). % 0.69/0.89 exact (zenon_H246 zenon_H241). % 0.69/0.89 (* end of lemma zenon_L198_ *) % 0.69/0.89 assert (zenon_L199_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H10 zenon_Hf zenon_H159 zenon_H23f zenon_H240. % 0.69/0.89 generalize (zenon_H10 (a2079)). zenon_intro zenon_H248. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_He | zenon_intro zenon_H249 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H241 | zenon_intro zenon_H24a ]. % 0.69/0.89 apply (zenon_L198_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H247 ]. % 0.69/0.89 exact (zenon_H245 zenon_H23f). % 0.69/0.89 exact (zenon_H247 zenon_H240). % 0.69/0.89 (* end of lemma zenon_L199_ *) % 0.69/0.89 assert (zenon_L200_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> False). % 0.69/0.89 do 0 intro. intros zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H159 zenon_Hf. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 0.69/0.89 apply (zenon_L199_); trivial. % 0.69/0.89 exact (zenon_H20 zenon_H21). % 0.69/0.89 (* end of lemma zenon_L200_ *) % 0.69/0.89 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp20)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H15d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H163. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.69/0.89 apply (zenon_L197_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ]. % 0.69/0.89 apply (zenon_L200_); trivial. % 0.69/0.89 exact (zenon_H15d zenon_H15e). % 0.69/0.89 apply (zenon_L76_); trivial. % 0.69/0.89 (* end of lemma zenon_L201_ *) % 0.69/0.89 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_H8 zenon_H11f. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L75_); trivial. % 0.69/0.89 apply (zenon_L201_); trivial. % 0.69/0.89 (* end of lemma zenon_L202_ *) % 0.69/0.89 assert (zenon_L203_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hcf zenon_H12d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_L196_); trivial. % 0.69/0.89 apply (zenon_L202_); trivial. % 0.69/0.89 (* end of lemma zenon_L203_ *) % 0.69/0.89 assert (zenon_L204_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp26)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H69 zenon_Hf zenon_H141 zenon_H142 zenon_H14a zenon_H23f zenon_H240 zenon_H23b zenon_H11d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.89 apply (zenon_L14_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.89 apply (zenon_L199_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.89 apply (zenon_L192_); trivial. % 0.69/0.89 exact (zenon_H69 zenon_H6a). % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 (* end of lemma zenon_L204_ *) % 0.69/0.89 assert (zenon_L205_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp27)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H20d zenon_H188 zenon_Hf zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H84. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ]. % 0.69/0.89 apply (zenon_L144_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ]. % 0.69/0.89 apply (zenon_L136_); trivial. % 0.69/0.89 exact (zenon_H84 zenon_H85). % 0.69/0.89 (* end of lemma zenon_L205_ *) % 0.69/0.89 assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.89 apply (zenon_L205_); trivial. % 0.69/0.89 apply (zenon_L166_); trivial. % 0.69/0.89 (* end of lemma zenon_L206_ *) % 0.69/0.89 assert (zenon_L207_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_H153 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H69 zenon_Hc1 zenon_H235. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.89 apply (zenon_L191_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L204_); trivial. % 0.69/0.89 apply (zenon_L206_); trivial. % 0.69/0.89 (* end of lemma zenon_L207_ *) % 0.69/0.89 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H8 zenon_H11f. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L75_); trivial. % 0.69/0.89 apply (zenon_L142_); trivial. % 0.69/0.89 (* end of lemma zenon_L208_ *) % 0.69/0.89 assert (zenon_L209_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a1 zenon_Hcf zenon_H12d zenon_H1ed zenon_H33 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_L196_); trivial. % 0.69/0.89 apply (zenon_L208_); trivial. % 0.69/0.89 (* end of lemma zenon_L209_ *) % 0.69/0.89 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a4 zenon_H1ed zenon_H33 zenon_H3b zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H212 zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H48 zenon_H47 zenon_H46 zenon_H8 zenon_H88 zenon_H69 zenon_Hc1 zenon_H235 zenon_H11f zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H12d zenon_Hcf zenon_H190. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.89 apply (zenon_L203_); trivial. % 0.69/0.89 apply (zenon_L207_); trivial. % 0.69/0.89 apply (zenon_L102_); trivial. % 0.69/0.89 apply (zenon_L209_); trivial. % 0.69/0.89 (* end of lemma zenon_L210_ *) % 0.69/0.89 assert (zenon_L211_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a2149)) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a2149)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H5c zenon_Hf zenon_Hb9 zenon_H1cb zenon_Hba. % 0.69/0.89 generalize (zenon_H5c (a2149)). zenon_intro zenon_H24b. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H24b); [ zenon_intro zenon_He | zenon_intro zenon_H24c ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H24d ]. % 0.69/0.89 exact (zenon_Hc0 zenon_Hb9). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_Hbf ]. % 0.69/0.89 generalize (zenon_H1cb (a2149)). zenon_intro zenon_H24f. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_He | zenon_intro zenon_H250 ]. % 0.69/0.89 exact (zenon_He zenon_Hf). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H251 | zenon_intro zenon_Hbd ]. % 0.69/0.89 exact (zenon_H24e zenon_H251). % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.69/0.89 exact (zenon_Hc0 zenon_Hb9). % 0.69/0.89 exact (zenon_Hbf zenon_Hba). % 0.69/0.89 exact (zenon_Hbf zenon_Hba). % 0.69/0.89 (* end of lemma zenon_L211_ *) % 0.69/0.89 assert (zenon_L212_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c3_1 (a2149)) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a2149)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_Hba zenon_H1cb zenon_Hb9 zenon_Hf zenon_H11d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H132 | zenon_intro zenon_H137 ]. % 0.69/0.89 apply (zenon_L84_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H5c | zenon_intro zenon_H11e ]. % 0.69/0.89 apply (zenon_L211_); trivial. % 0.69/0.89 exact (zenon_H11d zenon_H11e). % 0.69/0.89 (* end of lemma zenon_L212_ *) % 0.69/0.89 assert (zenon_L213_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2149)) -> (c3_1 (a2149)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp9)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H252 zenon_H8d zenon_H8c zenon_H8b zenon_H11d zenon_Hf zenon_Hb9 zenon_Hba zenon_H95 zenon_H96 zenon_H9e zenon_H136 zenon_Hb5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.69/0.89 apply (zenon_L41_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.69/0.89 apply (zenon_L212_); trivial. % 0.69/0.89 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.89 (* end of lemma zenon_L213_ *) % 0.69/0.89 assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_H8b zenon_H8c zenon_H8d zenon_H136 zenon_H9e zenon_H96 zenon_H95 zenon_Hb5 zenon_H252. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L213_); trivial. % 0.69/0.89 apply (zenon_L201_); trivial. % 0.69/0.89 (* end of lemma zenon_L214_ *) % 0.69/0.89 assert (zenon_L215_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H12d zenon_H62 zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H15d zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H196 zenon_H197 zenon_H198 zenon_Ha3 zenon_H1eb. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.89 apply (zenon_L141_); trivial. % 0.69/0.89 apply (zenon_L201_); trivial. % 0.69/0.89 (* end of lemma zenon_L215_ *) % 0.69/0.89 assert (zenon_L216_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H35 zenon_Hcf zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H11f zenon_H208 zenon_H212 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H88 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hcc zenon_H12d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.89 apply (zenon_L173_); trivial. % 0.69/0.89 apply (zenon_L208_); trivial. % 0.69/0.89 (* end of lemma zenon_L216_ *) % 0.69/0.89 assert (zenon_L217_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H18a zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H8d zenon_H8c zenon_H8b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ]. % 0.69/0.89 apply (zenon_L41_); trivial. % 0.69/0.89 apply (zenon_L100_); trivial. % 0.69/0.89 (* end of lemma zenon_L217_ *) % 0.69/0.89 assert (zenon_L218_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(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))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H254 zenon_H8d zenon_H8c zenon_H8b zenon_H12d zenon_H62 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H48 zenon_H47 zenon_H46 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H88 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H212 zenon_H208 zenon_H11f zenon_H33 zenon_H1ed zenon_Hcf zenon_H3b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L215_); trivial. % 0.69/0.90 apply (zenon_L216_); trivial. % 0.69/0.90 apply (zenon_L217_); trivial. % 0.69/0.90 (* end of lemma zenon_L218_ *) % 0.69/0.90 assert (zenon_L219_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp20)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H163 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H23f zenon_H240 zenon_H20 zenon_H22 zenon_H15d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.69/0.90 apply (zenon_L125_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ]. % 0.69/0.90 apply (zenon_L200_); trivial. % 0.69/0.90 exact (zenon_H15d zenon_H15e). % 0.69/0.90 (* end of lemma zenon_L219_ *) % 0.69/0.90 assert (zenon_L220_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H256 zenon_H2a zenon_H29 zenon_H28 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ]. % 0.69/0.90 apply (zenon_L14_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ]. % 0.69/0.90 apply (zenon_L125_); trivial. % 0.69/0.90 exact (zenon_H84 zenon_H85). % 0.69/0.90 (* end of lemma zenon_L220_ *) % 0.69/0.90 assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H35 zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H46 zenon_H47 zenon_H48 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.90 apply (zenon_L126_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.90 apply (zenon_L220_); trivial. % 0.69/0.90 apply (zenon_L166_); trivial. % 0.69/0.90 (* end of lemma zenon_L221_ *) % 0.69/0.90 assert (zenon_L222_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L219_); trivial. % 0.69/0.90 apply (zenon_L221_); trivial. % 0.69/0.90 (* end of lemma zenon_L222_ *) % 0.69/0.90 assert (zenon_L223_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.90 apply (zenon_L222_); trivial. % 0.69/0.90 apply (zenon_L102_); trivial. % 0.69/0.90 (* end of lemma zenon_L223_ *) % 0.69/0.90 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.90 apply (zenon_L223_); trivial. % 0.69/0.90 apply (zenon_L143_); trivial. % 0.69/0.90 (* end of lemma zenon_L224_ *) % 0.69/0.90 assert (zenon_L225_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hfc zenon_H36 zenon_H33 zenon_Hc4 zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H1d3 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b zenon_H1eb zenon_Ha3 zenon_H1ed zenon_H1a4 zenon_Hcb. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_L65_); trivial. % 0.69/0.90 apply (zenon_L224_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_L107_); trivial. % 0.69/0.90 apply (zenon_L224_); trivial. % 0.69/0.90 (* end of lemma zenon_L225_ *) % 0.69/0.90 assert (zenon_L226_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2072))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1c5 zenon_H1e6 zenon_H1de zenon_He8 zenon_H1dd zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ]. % 0.69/0.90 apply (zenon_L158_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ]. % 0.69/0.90 apply (zenon_L54_); trivial. % 0.69/0.90 apply (zenon_L114_); trivial. % 0.69/0.90 (* end of lemma zenon_L226_ *) % 0.69/0.90 assert (zenon_L227_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp27)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H20d zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H84. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ]. % 0.69/0.90 apply (zenon_L144_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ]. % 0.69/0.90 apply (zenon_L226_); trivial. % 0.69/0.90 exact (zenon_H84 zenon_H85). % 0.69/0.90 (* end of lemma zenon_L227_ *) % 0.69/0.90 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hd4 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H20 zenon_H22 zenon_H7c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.90 apply (zenon_L32_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.90 apply (zenon_L150_); trivial. % 0.69/0.90 exact (zenon_H7c zenon_H7d). % 0.69/0.90 (* end of lemma zenon_L228_ *) % 0.69/0.90 assert (zenon_L229_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H80 zenon_Hcc zenon_H7e zenon_H7c zenon_H20 zenon_H22 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.90 apply (zenon_L31_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.90 apply (zenon_L227_); trivial. % 0.69/0.90 apply (zenon_L228_); trivial. % 0.69/0.90 (* end of lemma zenon_L229_ *) % 0.69/0.90 assert (zenon_L230_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H35 zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.90 apply (zenon_L226_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.90 apply (zenon_L14_); trivial. % 0.69/0.90 apply (zenon_L57_); trivial. % 0.69/0.90 (* end of lemma zenon_L230_ *) % 0.69/0.90 assert (zenon_L231_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H6d zenon_Ha zenon_H69 zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L229_); trivial. % 0.69/0.90 apply (zenon_L230_); trivial. % 0.69/0.90 (* end of lemma zenon_L231_ *) % 0.69/0.90 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (~(c1_1 (a2110))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_Hf4 zenon_Hf3 zenon_Hf2 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L119_); trivial. % 0.69/0.90 apply (zenon_L230_); trivial. % 0.69/0.90 (* end of lemma zenon_L232_ *) % 0.69/0.90 assert (zenon_L233_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_H3b zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_Hff. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.90 apply (zenon_L3_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.90 apply (zenon_L231_); trivial. % 0.69/0.90 apply (zenon_L232_); trivial. % 0.69/0.90 apply (zenon_L59_); trivial. % 0.69/0.90 (* end of lemma zenon_L233_ *) % 0.69/0.90 assert (zenon_L234_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_H3b zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_Hff zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H1bc zenon_H1b1 zenon_H65 zenon_H12d zenon_Hcb. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.90 apply (zenon_L129_); trivial. % 0.69/0.90 apply (zenon_L233_); trivial. % 0.69/0.90 (* end of lemma zenon_L234_ *) % 0.69/0.90 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(hskp20)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H205 zenon_H163 zenon_H108 zenon_H107 zenon_H106 zenon_H15d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.69/0.90 apply (zenon_L125_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H159 | zenon_intro zenon_H15e ]. % 0.69/0.90 apply (zenon_L148_); trivial. % 0.69/0.90 exact (zenon_H15d zenon_H15e). % 0.69/0.90 (* end of lemma zenon_L235_ *) % 0.69/0.90 assert (zenon_L236_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H208 zenon_H163 zenon_H15d zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.90 apply (zenon_L146_); trivial. % 0.69/0.90 apply (zenon_L235_); trivial. % 0.69/0.90 (* end of lemma zenon_L236_ *) % 0.69/0.90 assert (zenon_L237_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H163 zenon_H208. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.90 apply (zenon_L236_); trivial. % 0.69/0.90 apply (zenon_L102_); trivial. % 0.69/0.90 (* end of lemma zenon_L237_ *) % 0.69/0.90 assert (zenon_L238_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp5)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H18a zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H8 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c1. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ]. % 0.69/0.90 apply (zenon_L104_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ]. % 0.69/0.90 apply (zenon_L115_); trivial. % 0.69/0.90 apply (zenon_L100_); trivial. % 0.69/0.90 (* end of lemma zenon_L238_ *) % 0.69/0.90 assert (zenon_L239_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H116 zenon_H1a4 zenon_H254 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c1 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.90 apply (zenon_L237_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.90 apply (zenon_L236_); trivial. % 0.69/0.90 apply (zenon_L238_); trivial. % 0.69/0.90 (* end of lemma zenon_L239_ *) % 0.69/0.90 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1a4 zenon_H254 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H18b zenon_H190 zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H65 zenon_H33 zenon_Hcd. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.90 apply (zenon_L118_); trivial. % 0.69/0.90 apply (zenon_L239_); trivial. % 0.69/0.90 (* end of lemma zenon_L240_ *) % 0.69/0.90 assert (zenon_L241_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp6)\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hcb zenon_H64 zenon_H65 zenon_H62 zenon_H41 zenon_H43 zenon_Hc zenon_H8 zenon_H6 zenon_H25 zenon_H23 zenon_H22 zenon_H33 zenon_H36 zenon_H3b zenon_H3e. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_L19_); trivial. % 0.69/0.90 apply (zenon_L66_); trivial. % 0.69/0.90 (* end of lemma zenon_L241_ *) % 0.69/0.90 assert (zenon_L242_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H45 zenon_Hf zenon_H159 zenon_H258 zenon_H259 zenon_H25a. % 0.69/0.90 generalize (zenon_H45 (a2071)). zenon_intro zenon_H25b. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_He | zenon_intro zenon_H25c ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ]. % 0.69/0.90 generalize (zenon_H159 (a2071)). zenon_intro zenon_H25f. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_He | zenon_intro zenon_H260 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ]. % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.69/0.90 exact (zenon_H264 zenon_H25e). % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H265 | zenon_intro zenon_H262 ]. % 0.69/0.90 exact (zenon_H25a zenon_H265). % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 (* end of lemma zenon_L242_ *) % 0.69/0.90 assert (zenon_L243_ : ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (ndr1_0) -> (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (~(hskp11)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H25a zenon_H259 zenon_H258 zenon_Hf zenon_H45 zenon_H31. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H204 ]. % 0.69/0.90 apply (zenon_L147_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H159 | zenon_intro zenon_H32 ]. % 0.69/0.90 apply (zenon_L242_); trivial. % 0.69/0.90 exact (zenon_H31 zenon_H32). % 0.69/0.90 (* end of lemma zenon_L243_ *) % 0.69/0.90 assert (zenon_L244_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2078))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(hskp11)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H266 zenon_H5d zenon_H52 zenon_H51 zenon_Hf zenon_H203 zenon_H9e zenon_H95 zenon_H94 zenon_H96 zenon_H25a zenon_H259 zenon_H258 zenon_H31 zenon_H62 zenon_H1f3 zenon_H23. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H4f | zenon_intro zenon_H267 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.90 apply (zenon_L243_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.90 apply (zenon_L25_); trivial. % 0.69/0.90 apply (zenon_L26_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H24 ]. % 0.69/0.90 exact (zenon_H1f3 zenon_H1f4). % 0.69/0.90 exact (zenon_H23 zenon_H24). % 0.69/0.90 (* end of lemma zenon_L244_ *) % 0.69/0.90 assert (zenon_L245_ : (forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H149 zenon_Hf zenon_H25a zenon_H258 zenon_H259. % 0.69/0.90 generalize (zenon_H149 (a2071)). zenon_intro zenon_H268. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_He | zenon_intro zenon_H269 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H265 | zenon_intro zenon_H26a ]. % 0.69/0.90 exact (zenon_H25a zenon_H265). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H262 | zenon_intro zenon_H263 ]. % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 (* end of lemma zenon_L245_ *) % 0.69/0.90 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (~(hskp11)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp16)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H205 zenon_H151 zenon_H31 zenon_H96 zenon_H95 zenon_H9e zenon_H203 zenon_H259 zenon_H258 zenon_H25a zenon_H14f. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ]. % 0.69/0.90 apply (zenon_L149_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ]. % 0.69/0.90 apply (zenon_L245_); trivial. % 0.69/0.90 exact (zenon_H14f zenon_H150). % 0.69/0.90 (* end of lemma zenon_L246_ *) % 0.69/0.90 assert (zenon_L247_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c0_1 (a2078)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H208 zenon_H43 zenon_H41 zenon_H8 zenon_H266 zenon_H23 zenon_H203 zenon_H31 zenon_H25a zenon_H259 zenon_H258 zenon_H9e zenon_H95 zenon_H96 zenon_H62 zenon_H14f zenon_H151 zenon_H64. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.90 apply (zenon_L22_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H94 | zenon_intro zenon_H158 ]. % 0.69/0.90 apply (zenon_L244_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H149 | zenon_intro zenon_H150 ]. % 0.69/0.90 apply (zenon_L245_); trivial. % 0.69/0.90 exact (zenon_H14f zenon_H150). % 0.69/0.90 apply (zenon_L246_); trivial. % 0.69/0.90 (* end of lemma zenon_L247_ *) % 0.69/0.90 assert (zenon_L248_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (~(c0_1 (a2140))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hfc zenon_H2a zenon_H29 zenon_H165 zenon_H28 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H31. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ]. % 0.69/0.90 apply (zenon_L120_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ]. % 0.69/0.90 apply (zenon_L54_); trivial. % 0.69/0.90 exact (zenon_H31 zenon_H32). % 0.69/0.90 (* end of lemma zenon_L248_ *) % 0.69/0.90 assert (zenon_L249_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (~(hskp11)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H35 zenon_H22f zenon_H162 zenon_H15f zenon_H161 zenon_H31 zenon_Hdc zenon_Hdd zenon_Hde zenon_Hfc zenon_H11 zenon_H13 zenon_H14. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ]. % 0.69/0.90 apply (zenon_L185_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ]. % 0.69/0.90 apply (zenon_L248_); trivial. % 0.69/0.90 apply (zenon_L186_); trivial. % 0.69/0.90 (* end of lemma zenon_L249_ *) % 0.69/0.90 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3a zenon_H3b zenon_H22f zenon_H31 zenon_Hfc zenon_H162 zenon_H15f zenon_H161 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L55_); trivial. % 0.69/0.90 apply (zenon_L249_); trivial. % 0.69/0.90 (* end of lemma zenon_L250_ *) % 0.69/0.90 assert (zenon_L251_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H18f zenon_H3e zenon_H3b zenon_H22f zenon_H31 zenon_Hfc zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H6d zenon_H69 zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.90 apply (zenon_L36_); trivial. % 0.69/0.90 apply (zenon_L250_); trivial. % 0.69/0.90 (* end of lemma zenon_L251_ *) % 0.69/0.90 assert (zenon_L252_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H103 zenon_Hcb zenon_Ha5 zenon_Ha3 zenon_H1a5 zenon_H3e zenon_H3b zenon_H22f zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H7c zenon_H7e zenon_H80 zenon_H64 zenon_H151 zenon_H62 zenon_H96 zenon_H95 zenon_H9e zenon_H258 zenon_H259 zenon_H25a zenon_H203 zenon_H23 zenon_H266 zenon_H8 zenon_H41 zenon_H43 zenon_H208 zenon_Hd0. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.90 apply (zenon_L247_); trivial. % 0.69/0.90 apply (zenon_L251_); trivial. % 0.69/0.90 apply (zenon_L59_); trivial. % 0.69/0.90 apply (zenon_L51_); trivial. % 0.69/0.90 (* end of lemma zenon_L252_ *) % 0.69/0.90 assert (zenon_L253_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1c5 zenon_H14 zenon_H13 zenon_H11 zenon_H10 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ]. % 0.69/0.90 apply (zenon_L9_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ]. % 0.69/0.90 apply (zenon_L54_); trivial. % 0.69/0.90 apply (zenon_L114_); trivial. % 0.69/0.90 (* end of lemma zenon_L253_ *) % 0.69/0.90 assert (zenon_L254_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H237 zenon_Hf zenon_H25a zenon_H45 zenon_H258 zenon_H259. % 0.69/0.90 generalize (zenon_H237 (a2071)). zenon_intro zenon_H26b. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H265 | zenon_intro zenon_H261 ]. % 0.69/0.90 exact (zenon_H25a zenon_H265). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.69/0.90 generalize (zenon_H45 (a2071)). zenon_intro zenon_H25b. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_He | zenon_intro zenon_H25c ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ]. % 0.69/0.90 exact (zenon_H264 zenon_H25e). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H265 | zenon_intro zenon_H262 ]. % 0.69/0.90 exact (zenon_H25a zenon_H265). % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 (* end of lemma zenon_L254_ *) % 0.69/0.90 assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(hskp3)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3a zenon_H1cf zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H1c5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H23b zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H41. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.90 apply (zenon_L253_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.90 apply (zenon_L254_); trivial. % 0.69/0.90 exact (zenon_H69 zenon_H6a). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.90 apply (zenon_L114_); trivial. % 0.69/0.90 exact (zenon_H41 zenon_H42). % 0.69/0.90 (* end of lemma zenon_L255_ *) % 0.69/0.90 assert (zenon_L256_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1cf zenon_H3e. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.90 apply (zenon_L36_); trivial. % 0.69/0.90 apply (zenon_L255_); trivial. % 0.69/0.90 apply (zenon_L59_); trivial. % 0.69/0.90 (* end of lemma zenon_L256_ *) % 0.69/0.90 assert (zenon_L257_ : ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp17)) -> (~(hskp23)) -> (~(hskp1)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H26d zenon_H1 zenon_H86 zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H2 | zenon_intro zenon_H26e ]. % 0.69/0.90 exact (zenon_H1 zenon_H2). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha4 ]. % 0.69/0.90 exact (zenon_H86 zenon_H87). % 0.69/0.90 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.90 (* end of lemma zenon_L257_ *) % 0.69/0.90 assert (zenon_L258_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H1 zenon_Ha3 zenon_H26d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.90 apply (zenon_L257_); trivial. % 0.69/0.90 apply (zenon_L50_); trivial. % 0.69/0.90 (* end of lemma zenon_L258_ *) % 0.69/0.90 assert (zenon_L259_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H10 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.90 apply (zenon_L23_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.90 apply (zenon_L165_); trivial. % 0.69/0.90 apply (zenon_L70_); trivial. % 0.69/0.90 (* end of lemma zenon_L259_ *) % 0.69/0.90 assert (zenon_L260_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp14)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H26f zenon_H188 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3f. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_He8 | zenon_intro zenon_H270 ]. % 0.69/0.90 apply (zenon_L136_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H10 | zenon_intro zenon_H40 ]. % 0.69/0.90 apply (zenon_L259_); trivial. % 0.69/0.90 exact (zenon_H3f zenon_H40). % 0.69/0.90 (* end of lemma zenon_L260_ *) % 0.69/0.90 assert (zenon_L261_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H59 zenon_Hf zenon_H27 zenon_H5d zenon_H52 zenon_H51. % 0.69/0.90 generalize (zenon_H59 (a2077)). zenon_intro zenon_H5a. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_He | zenon_intro zenon_H5b ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H50 | zenon_intro zenon_H55 ]. % 0.69/0.90 generalize (zenon_H27 (a2077)). zenon_intro zenon_H271. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_He | zenon_intro zenon_H272 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H56 | zenon_intro zenon_H60 ]. % 0.69/0.90 exact (zenon_H50 zenon_H56). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H57 ]. % 0.69/0.90 exact (zenon_H61 zenon_H5d). % 0.69/0.90 exact (zenon_H57 zenon_H52). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.69/0.90 exact (zenon_H58 zenon_H51). % 0.69/0.90 exact (zenon_H57 zenon_H52). % 0.69/0.90 (* end of lemma zenon_L261_ *) % 0.69/0.90 assert (zenon_L262_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c1_1 (a2077)) -> (c3_1 (a2077)) -> (c2_1 (a2077)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> False). % 0.69/0.90 do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H51 zenon_H52 zenon_H5d zenon_H27 zenon_H22 zenon_H20 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.90 apply (zenon_L23_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.90 apply (zenon_L261_); trivial. % 0.69/0.90 apply (zenon_L71_); trivial. % 0.69/0.90 (* end of lemma zenon_L262_ *) % 0.69/0.90 assert (zenon_L263_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hf1 zenon_Hf zenon_H264 zenon_H258 zenon_H259. % 0.69/0.90 generalize (zenon_Hf1 (a2071)). zenon_intro zenon_H273. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_He | zenon_intro zenon_H274 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H25e | zenon_intro zenon_H26a ]. % 0.69/0.90 exact (zenon_H264 zenon_H25e). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H262 | zenon_intro zenon_H263 ]. % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 (* end of lemma zenon_L263_ *) % 0.69/0.90 assert (zenon_L264_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c2_1 (a2071)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H159 zenon_Hf zenon_H258 zenon_Hf1 zenon_H259. % 0.69/0.90 generalize (zenon_H159 (a2071)). zenon_intro zenon_H25f. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_He | zenon_intro zenon_H260 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ]. % 0.69/0.90 exact (zenon_H262 zenon_H258). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.69/0.90 apply (zenon_L263_); trivial. % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 (* end of lemma zenon_L264_ *) % 0.69/0.90 assert (zenon_L265_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c2_1 (a2077)) -> (c3_1 (a2077)) -> (c1_1 (a2077)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H212 zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H20 zenon_H22 zenon_H5d zenon_H52 zenon_H51 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H259 zenon_Hf1 zenon_H258 zenon_Hf zenon_H11d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.90 apply (zenon_L264_); trivial. % 0.69/0.90 exact (zenon_H11d zenon_H11e). % 0.69/0.90 (* end of lemma zenon_L265_ *) % 0.69/0.90 assert (zenon_L266_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H12d zenon_H20d zenon_H88 zenon_H8 zenon_H86 zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H175 zenon_H176 zenon_H177 zenon_H1de zenon_H1dd zenon_H1e6 zenon_H188 zenon_H18b zenon_H20 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.90 apply (zenon_L40_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.90 apply (zenon_L260_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.90 apply (zenon_L136_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 apply (zenon_L265_); trivial. % 0.69/0.90 apply (zenon_L206_); trivial. % 0.69/0.90 (* end of lemma zenon_L266_ *) % 0.69/0.90 assert (zenon_L267_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hcf zenon_H25 zenon_H23 zenon_H11f zenon_Hcc zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H22 zenon_H20 zenon_H18b zenon_H188 zenon_H1e6 zenon_H1dd zenon_H1de zenon_H177 zenon_H176 zenon_H175 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H26f zenon_H8 zenon_H88 zenon_H20d zenon_H12d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.90 apply (zenon_L266_); trivial. % 0.69/0.90 apply (zenon_L169_); trivial. % 0.69/0.90 (* end of lemma zenon_L267_ *) % 0.69/0.90 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1ed zenon_H33 zenon_Ha3 zenon_H1eb zenon_Hcf zenon_H25 zenon_H23 zenon_H11f zenon_Hcc zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H22 zenon_H18b zenon_H1e6 zenon_H1dd zenon_H1de zenon_H177 zenon_H176 zenon_H175 zenon_H62 zenon_H26f zenon_H8 zenon_H88 zenon_H20d zenon_H12d zenon_H1f5 zenon_H208 zenon_H3b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L267_); trivial. % 0.69/0.90 apply (zenon_L174_); trivial. % 0.69/0.90 apply (zenon_L143_); trivial. % 0.69/0.90 (* end of lemma zenon_L268_ *) % 0.69/0.90 assert (zenon_L269_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> (c0_1 (a2069)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2104)) -> (~(c0_1 (a2104))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a2104))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H191 zenon_Hc1 zenon_H31 zenon_H163 zenon_H122 zenon_H123 zenon_H121 zenon_H15d zenon_Hc4 zenon_H162 zenon_H161 zenon_H27 zenon_H15f zenon_Hf zenon_H23. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.69/0.90 apply (zenon_L96_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.69/0.90 apply (zenon_L97_); trivial. % 0.69/0.90 exact (zenon_H23 zenon_H24). % 0.69/0.90 (* end of lemma zenon_L269_ *) % 0.69/0.90 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp5)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (c3_1 (a2104)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H12a zenon_Hfb zenon_H8 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H25 zenon_H23 zenon_H15f zenon_H161 zenon_H162 zenon_Hc4 zenon_H15d zenon_H163 zenon_H31 zenon_Hc1 zenon_H191 zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.90 apply (zenon_L159_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.90 apply (zenon_L269_); trivial. % 0.69/0.90 apply (zenon_L57_); trivial. % 0.69/0.90 (* end of lemma zenon_L270_ *) % 0.69/0.90 assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H18f zenon_Hff zenon_H190 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_Hcc zenon_H136 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H25 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H191 zenon_H163 zenon_Hfb zenon_H12d zenon_H33 zenon_H36 zenon_H3b zenon_H26d zenon_Ha3 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_Hcf. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.90 apply (zenon_L258_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.90 apply (zenon_L86_); trivial. % 0.69/0.90 apply (zenon_L270_); trivial. % 0.69/0.90 apply (zenon_L50_); trivial. % 0.69/0.90 apply (zenon_L17_); trivial. % 0.69/0.90 apply (zenon_L102_); trivial. % 0.69/0.90 (* end of lemma zenon_L271_ *) % 0.69/0.90 assert (zenon_L272_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H12d zenon_H1ed zenon_H33 zenon_H198 zenon_H197 zenon_H196 zenon_H88 zenon_H8 zenon_H86 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H20 zenon_H136 zenon_Hcc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.90 apply (zenon_L86_); trivial. % 0.69/0.90 apply (zenon_L142_); trivial. % 0.69/0.90 (* end of lemma zenon_L272_ *) % 0.69/0.90 assert (zenon_L273_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c0_1 (a2078)) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(c0_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c2_1 (a2097))) -> (~(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))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_H31 zenon_Hcc zenon_H136 zenon_H20 zenon_H22 zenon_H9e zenon_H96 zenon_H95 zenon_H8 zenon_H88 zenon_H196 zenon_H197 zenon_H198 zenon_H33 zenon_H1ed zenon_H12d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.90 apply (zenon_L272_); trivial. % 0.69/0.90 apply (zenon_L50_); trivial. % 0.69/0.90 (* end of lemma zenon_L273_ *) % 0.69/0.90 assert (zenon_L274_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2078))) -> (~(c2_1 (a2078))) -> (c0_1 (a2078)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1a1 zenon_H3b zenon_H36 zenon_H12d zenon_H1ed zenon_H33 zenon_H88 zenon_H8 zenon_H95 zenon_H96 zenon_H9e zenon_H22 zenon_H136 zenon_Hcc zenon_H31 zenon_Hc1 zenon_Hc4 zenon_Hcf. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L273_); trivial. % 0.69/0.90 apply (zenon_L17_); trivial. % 0.69/0.90 (* end of lemma zenon_L274_ *) % 0.69/0.90 assert (zenon_L275_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp16))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2078))) -> (~(c1_1 (a2078))) -> (c0_1 (a2078)) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c0_1 X46))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1a4 zenon_H1ed zenon_H208 zenon_H151 zenon_H259 zenon_H258 zenon_H25a zenon_H96 zenon_H95 zenon_H9e zenon_H31 zenon_H203 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H8 zenon_H1f5 zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H3b zenon_H36 zenon_H33 zenon_H12d zenon_Hfb zenon_H163 zenon_H191 zenon_H23 zenon_H25 zenon_H88 zenon_H22 zenon_H136 zenon_Hcc zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_Hff zenon_H1a5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.90 apply (zenon_L146_); trivial. % 0.69/0.90 apply (zenon_L246_); trivial. % 0.69/0.90 apply (zenon_L271_); trivial. % 0.69/0.90 apply (zenon_L274_); trivial. % 0.69/0.90 (* end of lemma zenon_L275_ *) % 0.69/0.90 assert (zenon_L276_ : (forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105)))))) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H237 zenon_Hf zenon_H25a zenon_Hf1 zenon_H258 zenon_H259. % 0.69/0.90 generalize (zenon_H237 (a2071)). zenon_intro zenon_H26b. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H265 | zenon_intro zenon_H261 ]. % 0.69/0.90 exact (zenon_H25a zenon_H265). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.69/0.90 apply (zenon_L263_); trivial. % 0.69/0.90 exact (zenon_H263 zenon_H259). % 0.69/0.90 (* end of lemma zenon_L276_ *) % 0.69/0.90 assert (zenon_L277_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp8)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H69 zenon_Hf zenon_H25a zenon_Hf1 zenon_H258 zenon_H259 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H23b zenon_H7c. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.90 apply (zenon_L32_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.90 apply (zenon_L46_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.90 apply (zenon_L276_); trivial. % 0.69/0.90 exact (zenon_H69 zenon_H6a). % 0.69/0.90 exact (zenon_H7c zenon_H7d). % 0.69/0.90 (* end of lemma zenon_L277_ *) % 0.69/0.90 assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H81 zenon_Hcc zenon_Hfb zenon_H23b zenon_H69 zenon_H259 zenon_H258 zenon_H25a zenon_H7c zenon_H7e zenon_H2a zenon_H29 zenon_H28 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.90 apply (zenon_L227_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.90 apply (zenon_L226_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.90 apply (zenon_L14_); trivial. % 0.69/0.90 apply (zenon_L277_); trivial. % 0.69/0.90 (* end of lemma zenon_L278_ *) % 0.69/0.90 assert (zenon_L279_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H35 zenon_H80 zenon_Hcc zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H7c zenon_H7e zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.90 apply (zenon_L31_); trivial. % 0.69/0.90 apply (zenon_L278_); trivial. % 0.69/0.90 (* end of lemma zenon_L279_ *) % 0.69/0.90 assert (zenon_L280_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1c5 zenon_H69 zenon_H25a zenon_Hf1 zenon_H258 zenon_H259 zenon_H11 zenon_H13 zenon_H14 zenon_H23b zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H12 | zenon_intro zenon_H1c6 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.90 apply (zenon_L9_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.90 apply (zenon_L276_); trivial. % 0.69/0.90 exact (zenon_H69 zenon_H6a). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1bb ]. % 0.69/0.90 apply (zenon_L54_); trivial. % 0.69/0.90 apply (zenon_L114_); trivial. % 0.69/0.90 (* end of lemma zenon_L280_ *) % 0.69/0.90 assert (zenon_L281_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H35 zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H11 zenon_H13 zenon_H14 zenon_H23b zenon_Hde zenon_Hdd zenon_Hdc zenon_H1b0 zenon_H1b1 zenon_H1bc. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.90 apply (zenon_L226_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.90 apply (zenon_L14_); trivial. % 0.69/0.90 apply (zenon_L280_); trivial. % 0.69/0.90 (* end of lemma zenon_L281_ *) % 0.69/0.90 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfb zenon_H23b zenon_H69 zenon_H259 zenon_H258 zenon_H25a zenon_H1dd zenon_H1de zenon_H1e6 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L119_); trivial. % 0.69/0.90 apply (zenon_L281_); trivial. % 0.69/0.90 (* end of lemma zenon_L282_ *) % 0.69/0.90 assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H3b zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L229_); trivial. % 0.69/0.90 apply (zenon_L279_); trivial. % 0.69/0.90 apply (zenon_L282_); trivial. % 0.69/0.90 apply (zenon_L59_); trivial. % 0.69/0.90 (* end of lemma zenon_L283_ *) % 0.69/0.90 assert (zenon_L284_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H3b zenon_Hfb zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H20d zenon_H1b0 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H22 zenon_H7c zenon_H7e zenon_Hcc zenon_H80 zenon_H3e zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H62 zenon_H1bc zenon_H1b1 zenon_H65 zenon_H12d zenon_Hcb. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.90 apply (zenon_L129_); trivial. % 0.69/0.90 apply (zenon_L283_); trivial. % 0.69/0.90 (* end of lemma zenon_L284_ *) % 0.69/0.90 assert (zenon_L285_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1cb zenon_Hf zenon_H275 zenon_H276 zenon_H277. % 0.69/0.90 generalize (zenon_H1cb (a2070)). zenon_intro zenon_H278. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_He | zenon_intro zenon_H279 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 0.69/0.90 exact (zenon_H275 zenon_H27b). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27d | zenon_intro zenon_H27c ]. % 0.69/0.90 exact (zenon_H27d zenon_H276). % 0.69/0.90 exact (zenon_H27c zenon_H277). % 0.69/0.90 (* end of lemma zenon_L285_ *) % 0.69/0.90 assert (zenon_L286_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H252 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_Hb5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.69/0.90 apply (zenon_L53_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.69/0.90 apply (zenon_L285_); trivial. % 0.69/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.90 (* end of lemma zenon_L286_ *) % 0.69/0.90 assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp9)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hd1 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_Hb5. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.69/0.90 apply (zenon_L41_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.69/0.90 apply (zenon_L285_); trivial. % 0.69/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.90 (* end of lemma zenon_L287_ *) % 0.69/0.90 assert (zenon_L288_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hd0 zenon_H3b zenon_H36 zenon_H33 zenon_H31 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H3e. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.90 apply (zenon_L81_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.90 apply (zenon_L286_); trivial. % 0.69/0.90 apply (zenon_L17_); trivial. % 0.69/0.90 apply (zenon_L287_); trivial. % 0.69/0.90 (* end of lemma zenon_L288_ *) % 0.69/0.90 assert (zenon_L289_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H165 zenon_Hf zenon_H4f zenon_H28 zenon_H2a zenon_H29. % 0.69/0.90 generalize (zenon_H165 (a2140)). zenon_intro zenon_H1c7. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_He | zenon_intro zenon_H1c8 ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H2d ]. % 0.69/0.90 generalize (zenon_H4f (a2140)). zenon_intro zenon_H27e. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_He | zenon_intro zenon_H27f ]. % 0.69/0.90 exact (zenon_He zenon_Hf). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H2e | zenon_intro zenon_H280 ]. % 0.69/0.90 exact (zenon_H28 zenon_H2e). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hec | zenon_intro zenon_H2f ]. % 0.69/0.90 exact (zenon_Hec zenon_Hf0). % 0.69/0.90 exact (zenon_H2f zenon_H2a). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.69/0.90 exact (zenon_H30 zenon_H29). % 0.69/0.90 exact (zenon_H2f zenon_H2a). % 0.69/0.90 (* end of lemma zenon_L289_ *) % 0.69/0.90 assert (zenon_L290_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H29 zenon_H2a zenon_H28 zenon_H4f zenon_Hf zenon_H11d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ]. % 0.69/0.90 apply (zenon_L23_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ]. % 0.69/0.90 apply (zenon_L289_); trivial. % 0.69/0.90 exact (zenon_H11d zenon_H11e). % 0.69/0.90 (* end of lemma zenon_L290_ *) % 0.69/0.90 assert (zenon_L291_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp26)) -> (ndr1_0) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H266 zenon_H11d zenon_Hf zenon_H28 zenon_H2a zenon_H29 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H1f3 zenon_H23. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H4f | zenon_intro zenon_H267 ]. % 0.69/0.90 apply (zenon_L290_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H24 ]. % 0.69/0.90 exact (zenon_H1f3 zenon_H1f4). % 0.69/0.90 exact (zenon_H23 zenon_H24). % 0.69/0.90 (* end of lemma zenon_L291_ *) % 0.69/0.90 assert (zenon_L292_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H208 zenon_H212 zenon_H1d3 zenon_H11d zenon_H29 zenon_H2a zenon_H28 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H23 zenon_H266. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.69/0.90 apply (zenon_L291_); trivial. % 0.69/0.90 apply (zenon_L170_); trivial. % 0.69/0.90 (* end of lemma zenon_L292_ *) % 0.69/0.91 assert (zenon_L293_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> (~(c0_1 (a2140))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H12d zenon_Hcc zenon_H62 zenon_H86 zenon_H8 zenon_H88 zenon_H266 zenon_H23 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H28 zenon_H2a zenon_H29 zenon_H1d3 zenon_H212 zenon_H208. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L292_); trivial. % 0.69/0.91 apply (zenon_L172_); trivial. % 0.69/0.91 (* end of lemma zenon_L293_ *) % 0.69/0.91 assert (zenon_L294_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_Hcf zenon_H80 zenon_H11b zenon_H11f zenon_H69 zenon_Ha zenon_H6d zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H23 zenon_H266 zenon_H88 zenon_H8 zenon_H62 zenon_Hcc zenon_H12d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.91 apply (zenon_L293_); trivial. % 0.69/0.91 apply (zenon_L79_); trivial. % 0.69/0.91 (* end of lemma zenon_L294_ *) % 0.69/0.91 assert (zenon_L295_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3b zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H266 zenon_H62 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_Ha zenon_H6d zenon_H11f zenon_H12d zenon_Hcf. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L80_); trivial. % 0.69/0.91 apply (zenon_L294_); trivial. % 0.69/0.91 (* end of lemma zenon_L295_ *) % 0.69/0.91 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hb5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.91 apply (zenon_L53_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.91 apply (zenon_L259_); trivial. % 0.69/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.91 (* end of lemma zenon_L296_ *) % 0.69/0.91 assert (zenon_L297_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_H86 zenon_H8 zenon_H88. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.91 apply (zenon_L40_); trivial. % 0.69/0.91 apply (zenon_L296_); trivial. % 0.69/0.91 (* end of lemma zenon_L297_ *) % 0.69/0.91 assert (zenon_L298_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2116)) -> (~(c2_1 (a2116))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcf zenon_H152 zenon_H3 zenon_H88 zenon_H8 zenon_H22 zenon_H20 zenon_H14 zenon_H11 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_Hcc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.91 apply (zenon_L297_); trivial. % 0.69/0.91 apply (zenon_L181_); trivial. % 0.69/0.91 (* end of lemma zenon_L298_ *) % 0.69/0.91 assert (zenon_L299_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a2070)) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H59 zenon_Hf zenon_H276 zenon_H94 zenon_H275 zenon_H277. % 0.69/0.91 generalize (zenon_H59 (a2070)). zenon_intro zenon_H281. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_He | zenon_intro zenon_H282 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H27d | zenon_intro zenon_H283 ]. % 0.69/0.91 exact (zenon_H27d zenon_H276). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H284 | zenon_intro zenon_H27c ]. % 0.69/0.91 generalize (zenon_H94 (a2070)). zenon_intro zenon_H285. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_He | zenon_intro zenon_H286 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ]. % 0.69/0.91 exact (zenon_H284 zenon_H288). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H27b | zenon_intro zenon_H27c ]. % 0.69/0.91 exact (zenon_H275 zenon_H27b). % 0.69/0.91 exact (zenon_H27c zenon_H277). % 0.69/0.91 exact (zenon_H27c zenon_H277). % 0.69/0.91 (* end of lemma zenon_L299_ *) % 0.69/0.91 assert (zenon_L300_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (c3_1 (a2070)) -> (~(c2_1 (a2070))) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (c0_1 (a2070)) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H277 zenon_H275 zenon_H94 zenon_H276 zenon_Hf zenon_H121 zenon_H122 zenon_H123. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.91 apply (zenon_L23_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.91 apply (zenon_L299_); trivial. % 0.69/0.91 apply (zenon_L76_); trivial. % 0.69/0.91 (* end of lemma zenon_L300_ *) % 0.69/0.91 assert (zenon_L301_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_Hcf zenon_H64 zenon_H289 zenon_H216 zenon_H276 zenon_H275 zenon_H277 zenon_H41 zenon_H43 zenon_H11f zenon_H208 zenon_H212 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H23 zenon_H266 zenon_H88 zenon_H8 zenon_H62 zenon_Hcc zenon_H12d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.91 apply (zenon_L293_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L75_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.91 apply (zenon_L22_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H4f | zenon_intro zenon_H28a ]. % 0.69/0.91 apply (zenon_L27_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H94 | zenon_intro zenon_H217 ]. % 0.69/0.91 apply (zenon_L300_); trivial. % 0.69/0.91 exact (zenon_H216 zenon_H217). % 0.69/0.91 (* end of lemma zenon_L301_ *) % 0.69/0.91 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3a zenon_H3b zenon_H225 zenon_H14f zenon_H21e zenon_H21d zenon_H21c zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_H8 zenon_H88 zenon_H3 zenon_H152 zenon_Hcf. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L298_); trivial. % 0.69/0.91 apply (zenon_L184_); trivial. % 0.69/0.91 (* end of lemma zenon_L302_ *) % 0.69/0.91 assert (zenon_L303_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(c2_1 (a2099))) -> (~(c3_1 (a2099))) -> (c0_1 (a2099)) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3e zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3 zenon_H152 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H21c zenon_H21d zenon_H21e zenon_H14f zenon_H225 zenon_H3b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L80_); trivial. % 0.69/0.91 apply (zenon_L184_); trivial. % 0.69/0.91 apply (zenon_L302_); trivial. % 0.69/0.91 (* end of lemma zenon_L303_ *) % 0.69/0.91 assert (zenon_L304_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a2069)) -> (c2_1 (a2069)) -> (c3_1 (a2069)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb7 zenon_Hf zenon_H121 zenon_H122 zenon_H123. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H45 | zenon_intro zenon_H63 ]. % 0.69/0.91 apply (zenon_L23_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.69/0.91 apply (zenon_L88_); trivial. % 0.69/0.91 apply (zenon_L76_); trivial. % 0.69/0.91 (* end of lemma zenon_L304_ *) % 0.69/0.91 assert (zenon_L305_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H6f zenon_H13 zenon_H14. % 0.69/0.91 generalize (zenon_H10 (a2116)). zenon_intro zenon_H15. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.69/0.91 exact (zenon_H11 zenon_H18). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.69/0.91 generalize (zenon_H6f (a2116)). zenon_intro zenon_H28b. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_He | zenon_intro zenon_H28c ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1e | zenon_intro zenon_H22e ]. % 0.69/0.91 exact (zenon_H1a zenon_H1e). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ]. % 0.69/0.91 exact (zenon_H13 zenon_H1f). % 0.69/0.91 exact (zenon_H19 zenon_H14). % 0.69/0.91 exact (zenon_H19 zenon_H14). % 0.69/0.91 (* end of lemma zenon_L305_ *) % 0.69/0.91 assert (zenon_L306_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a2069)) -> (c2_1 (a2069)) -> (c0_1 (a2069)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32)))))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H28d zenon_H29 zenon_H2a zenon_H28 zenon_H165 zenon_H123 zenon_H122 zenon_H121 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_Hf zenon_H11 zenon_H6f zenon_H13 zenon_H14. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H4f | zenon_intro zenon_H28e ]. % 0.69/0.91 apply (zenon_L289_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10 ]. % 0.69/0.91 apply (zenon_L304_); trivial. % 0.69/0.91 apply (zenon_L305_); trivial. % 0.69/0.91 (* end of lemma zenon_L306_ *) % 0.69/0.91 assert (zenon_L307_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_H12d zenon_H22f zenon_H28d zenon_H14 zenon_H13 zenon_H11 zenon_H62 zenon_H11b zenon_H162 zenon_H15f zenon_H161 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L292_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ]. % 0.69/0.91 apply (zenon_L185_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H6f | zenon_intro zenon_H11c ]. % 0.69/0.91 apply (zenon_L306_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H5c | zenon_intro zenon_H24 ]. % 0.69/0.91 apply (zenon_L76_); trivial. % 0.69/0.91 exact (zenon_H23 zenon_H24). % 0.69/0.91 apply (zenon_L186_); trivial. % 0.69/0.91 (* end of lemma zenon_L307_ *) % 0.69/0.91 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3a zenon_H3b zenon_H12d zenon_H22f zenon_H28d zenon_H11b zenon_H162 zenon_H15f zenon_H161 zenon_H266 zenon_H23 zenon_H1d3 zenon_H212 zenon_H208 zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_H8 zenon_H88 zenon_H3 zenon_H152 zenon_Hcf. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L298_); trivial. % 0.69/0.91 apply (zenon_L307_); trivial. % 0.69/0.91 (* end of lemma zenon_L308_ *) % 0.69/0.91 assert (zenon_L309_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H18f zenon_H3e zenon_H22f zenon_H28d zenon_Hcd zenon_Hb5 zenon_H3 zenon_H152 zenon_Hcf zenon_H12d zenon_H11f zenon_H6d zenon_H69 zenon_H88 zenon_H8 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_H62 zenon_H266 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208 zenon_H3b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L295_); trivial. % 0.69/0.91 apply (zenon_L308_); trivial. % 0.69/0.91 (* end of lemma zenon_L309_ *) % 0.69/0.91 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H22f zenon_H28d zenon_H266 zenon_H1d3 zenon_H212 zenon_H208 zenon_H3b zenon_H225 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H69 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H152 zenon_H3 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_H3e. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.91 apply (zenon_L303_); trivial. % 0.69/0.91 apply (zenon_L309_); trivial. % 0.69/0.91 (* end of lemma zenon_L310_ *) % 0.69/0.91 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp3)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H116 zenon_H1c9 zenon_H277 zenon_H276 zenon_H275 zenon_H41. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ]. % 0.69/0.91 apply (zenon_L125_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ]. % 0.69/0.91 apply (zenon_L285_); trivial. % 0.69/0.91 exact (zenon_H41 zenon_H42). % 0.69/0.91 (* end of lemma zenon_L311_ *) % 0.69/0.91 assert (zenon_L312_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp5)) -> (c3_1 (a2074)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcd zenon_H8 zenon_H1bc zenon_H1c1 zenon_Hf zenon_H275 zenon_H276 zenon_H277 zenon_H1b0 zenon_H1b1 zenon_H252 zenon_Hb5. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.91 apply (zenon_L115_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.69/0.91 apply (zenon_L113_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.69/0.91 apply (zenon_L285_); trivial. % 0.69/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.91 (* end of lemma zenon_L312_ *) % 0.69/0.91 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a2074))/\((c3_1 (a2074))/\(~(c2_1 (a2074)))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a2076))/\((c3_1 (a2076))/\(~(c0_1 (a2076))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/(hskp0)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H28f zenon_H290 zenon_H65 zenon_H33 zenon_Hcd zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_H1c1 zenon_H41 zenon_H1c9 zenon_H115. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.91 apply (zenon_L312_); trivial. % 0.69/0.91 apply (zenon_L311_); trivial. % 0.69/0.91 apply (zenon_L132_); trivial. % 0.69/0.91 (* end of lemma zenon_L313_ *) % 0.69/0.91 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H62 zenon_H23b zenon_H8 zenon_H88 zenon_Hc1 zenon_H235 zenon_H11f zenon_H20d zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H12d zenon_Hcf. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.91 apply (zenon_L196_); trivial. % 0.69/0.91 apply (zenon_L169_); trivial. % 0.69/0.91 apply (zenon_L287_); trivial. % 0.69/0.91 (* end of lemma zenon_L314_ *) % 0.69/0.91 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp11)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((hskp5)\/(hskp4))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H36 zenon_H33 zenon_Hc4 zenon_H1d3 zenon_H20d zenon_H8 zenon_H23 zenon_H25 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_Hcc zenon_H12d zenon_Hcb. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_L65_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L126_); trivial. % 0.69/0.91 apply (zenon_L167_); trivial. % 0.69/0.91 apply (zenon_L156_); trivial. % 0.69/0.91 (* end of lemma zenon_L315_ *) % 0.69/0.91 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1a4 zenon_H254 zenon_H208 zenon_H163 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1f5 zenon_H18b zenon_H190 zenon_H1c1 zenon_H8 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_Hcd. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.91 apply (zenon_L312_); trivial. % 0.69/0.91 apply (zenon_L239_); trivial. % 0.69/0.91 (* end of lemma zenon_L316_ *) % 0.69/0.91 assert (zenon_L317_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c0_1 X76))\/(~(c2_1 X76))))))\/(hskp4))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H293 zenon_H277 zenon_H276 zenon_H275 zenon_H259 zenon_H258 zenon_H25a zenon_Hf zenon_H23. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1cb | zenon_intro zenon_H294 ]. % 0.69/0.91 apply (zenon_L285_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H149 | zenon_intro zenon_H24 ]. % 0.69/0.91 apply (zenon_L245_); trivial. % 0.69/0.91 exact (zenon_H23 zenon_H24). % 0.69/0.91 (* end of lemma zenon_L317_ *) % 0.69/0.91 assert (zenon_L318_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H160 zenon_Hf zenon_H295 zenon_H296 zenon_H297. % 0.69/0.91 generalize (zenon_H160 (a2068)). zenon_intro zenon_H298. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_He | zenon_intro zenon_H299 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.69/0.91 exact (zenon_H295 zenon_H29b). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ]. % 0.69/0.91 exact (zenon_H296 zenon_H29d). % 0.69/0.91 exact (zenon_H29c zenon_H297). % 0.69/0.91 (* end of lemma zenon_L318_ *) % 0.69/0.91 assert (zenon_L319_ : (forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80)))))) -> (ndr1_0) -> (~(c1_1 (a2110))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H45 zenon_Hf zenon_Hf2 zenon_H5c zenon_Hf3 zenon_Hf4. % 0.69/0.91 generalize (zenon_H45 (a2110)). zenon_intro zenon_H29e. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_He | zenon_intro zenon_H29f ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2a0 ]. % 0.69/0.91 exact (zenon_Hf2 zenon_Hf8). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H2a1 | zenon_intro zenon_Hfa ]. % 0.69/0.91 generalize (zenon_H5c (a2110)). zenon_intro zenon_H2a2. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2a2); [ zenon_intro zenon_He | zenon_intro zenon_H2a3 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_Hfa | zenon_intro zenon_H2a4 ]. % 0.69/0.91 exact (zenon_Hfa zenon_Hf3). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2a5 ]. % 0.69/0.91 exact (zenon_Hf9 zenon_Hf4). % 0.69/0.91 exact (zenon_H2a5 zenon_H2a1). % 0.69/0.91 exact (zenon_Hfa zenon_Hf3). % 0.69/0.91 (* end of lemma zenon_L319_ *) % 0.69/0.91 assert (zenon_L320_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H94 zenon_Hf zenon_H1bb zenon_H296 zenon_H297. % 0.69/0.91 generalize (zenon_H94 (a2068)). zenon_intro zenon_H2a6. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_He | zenon_intro zenon_H2a7 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H29a ]. % 0.69/0.91 generalize (zenon_H1bb (a2068)). zenon_intro zenon_H2a9. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_He | zenon_intro zenon_H2aa ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H29d | zenon_intro zenon_H2ab ]. % 0.69/0.91 exact (zenon_H296 zenon_H29d). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ac | zenon_intro zenon_H29c ]. % 0.69/0.91 exact (zenon_H2ac zenon_H2a8). % 0.69/0.91 exact (zenon_H29c zenon_H297). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ]. % 0.69/0.91 exact (zenon_H296 zenon_H29d). % 0.69/0.91 exact (zenon_H29c zenon_H297). % 0.69/0.91 (* end of lemma zenon_L320_ *) % 0.69/0.91 assert (zenon_L321_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c2_1 (a2110)) -> (c0_1 (a2110)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (~(c1_1 (a2110))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35)))))) -> (~(hskp3)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H1cf zenon_Hf4 zenon_Hf3 zenon_H5c zenon_Hf2 zenon_H297 zenon_H296 zenon_Hf zenon_H94 zenon_H41. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.91 apply (zenon_L319_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.91 apply (zenon_L320_); trivial. % 0.69/0.91 exact (zenon_H41 zenon_H42). % 0.69/0.91 (* end of lemma zenon_L321_ *) % 0.69/0.91 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(c0_1 (a2068))) -> (~(hskp3)) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp4)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc8 zenon_H191 zenon_H295 zenon_H41 zenon_H296 zenon_H297 zenon_H1cf zenon_H23. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.91 apply (zenon_L23_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.91 apply (zenon_L320_); trivial. % 0.69/0.91 exact (zenon_H41 zenon_H42). % 0.69/0.91 exact (zenon_H23 zenon_H24). % 0.69/0.91 (* end of lemma zenon_L322_ *) % 0.69/0.91 assert (zenon_L323_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcb zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H41 zenon_H1cf zenon_H23 zenon_H191 zenon_Hff. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.91 apply (zenon_L258_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_L321_); trivial. % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 exact (zenon_H23 zenon_H24). % 0.69/0.91 apply (zenon_L322_); trivial. % 0.69/0.91 (* end of lemma zenon_L323_ *) % 0.69/0.91 assert (zenon_L324_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((hskp29)\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H191 zenon_H23 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_Hff zenon_H3e zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_He5 zenon_H6d zenon_H43 zenon_H41 zenon_H8 zenon_H7c zenon_H7e zenon_H64 zenon_H80 zenon_H3 zenon_H5 zenon_Hd0. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_L60_); trivial. % 0.69/0.91 apply (zenon_L322_); trivial. % 0.69/0.91 (* end of lemma zenon_L324_ *) % 0.69/0.91 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H1d7 zenon_H114 zenon_Hfc zenon_Hff zenon_H191 zenon_H23 zenon_H1cf zenon_H41 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.91 apply (zenon_L323_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_L107_); trivial. % 0.69/0.91 apply (zenon_L322_); trivial. % 0.69/0.91 (* end of lemma zenon_L325_ *) % 0.69/0.91 assert (zenon_L326_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2076))) -> (c1_1 (a2076)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H8a zenon_Hf zenon_H1a6 zenon_H2af zenon_H1a7. % 0.69/0.91 generalize (zenon_H8a (a2076)). zenon_intro zenon_H2b0. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_He | zenon_intro zenon_H2b1 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H1ac | zenon_intro zenon_H2b2 ]. % 0.69/0.91 exact (zenon_H1a6 zenon_H1ac). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H1ae ]. % 0.69/0.91 exact (zenon_H2af zenon_H2b3). % 0.69/0.91 exact (zenon_H1ae zenon_H1a7). % 0.69/0.91 (* end of lemma zenon_L326_ *) % 0.69/0.91 assert (zenon_L327_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H79 zenon_Hf zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H1a8. % 0.69/0.91 generalize (zenon_H79 (a2076)). zenon_intro zenon_H2b4. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_He | zenon_intro zenon_H2b5 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2b6 ]. % 0.69/0.91 exact (zenon_H1ae zenon_H1a7). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2af | zenon_intro zenon_H1ad ]. % 0.69/0.91 apply (zenon_L326_); trivial. % 0.69/0.91 exact (zenon_H1ad zenon_H1a8). % 0.69/0.91 (* end of lemma zenon_L327_ *) % 0.69/0.91 assert (zenon_L328_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2076)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H1a8 zenon_H1a6 zenon_H8a zenon_H1a7 zenon_Hf zenon_H7c. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.91 apply (zenon_L32_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.91 apply (zenon_L327_); trivial. % 0.69/0.91 exact (zenon_H7c zenon_H7d). % 0.69/0.91 (* end of lemma zenon_L328_ *) % 0.69/0.91 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp8)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H81 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7e zenon_Hde zenon_Hdd zenon_Hdc zenon_H7c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.69/0.91 apply (zenon_L328_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.69/0.91 apply (zenon_L54_); trivial. % 0.69/0.91 exact (zenon_H7c zenon_H7d). % 0.69/0.91 (* end of lemma zenon_L329_ *) % 0.69/0.91 assert (zenon_L330_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H80 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H69 zenon_Ha zenon_H6d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.91 apply (zenon_L31_); trivial. % 0.69/0.91 apply (zenon_L329_); trivial. % 0.69/0.91 (* end of lemma zenon_L330_ *) % 0.69/0.91 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (~(hskp17)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc3 zenon_H2b7 zenon_H14 zenon_H13 zenon_H11 zenon_H1. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H2b8 ]. % 0.69/0.91 apply (zenon_L48_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H22b | zenon_intro zenon_H2 ]. % 0.69/0.91 apply (zenon_L186_); trivial. % 0.69/0.91 exact (zenon_H1 zenon_H2). % 0.69/0.91 (* end of lemma zenon_L331_ *) % 0.69/0.91 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3a zenon_Hcf zenon_H2b7 zenon_H1 zenon_Ha3 zenon_H26d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.69/0.91 apply (zenon_L257_); trivial. % 0.69/0.91 apply (zenon_L331_); trivial. % 0.69/0.91 (* end of lemma zenon_L332_ *) % 0.69/0.91 assert (zenon_L333_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3e zenon_Hcf zenon_H2b7 zenon_H1 zenon_Ha3 zenon_H26d zenon_H6d zenon_H69 zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_Hdc zenon_Hdd zenon_Hde zenon_He5 zenon_H80. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L330_); trivial. % 0.69/0.91 apply (zenon_L332_); trivial. % 0.69/0.91 (* end of lemma zenon_L333_ *) % 0.69/0.91 assert (zenon_L334_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a2116))) -> (~(c3_1 (a2116))) -> (c1_1 (a2116)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H2b9 zenon_H297 zenon_H296 zenon_H295 zenon_H10 zenon_Hf zenon_H11 zenon_H13 zenon_H14. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ]. % 0.69/0.91 apply (zenon_L305_); trivial. % 0.69/0.91 apply (zenon_L186_); trivial. % 0.69/0.91 (* end of lemma zenon_L334_ *) % 0.69/0.91 assert (zenon_L335_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcd zenon_H20 zenon_H22 zenon_H14 zenon_H13 zenon_H11 zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H2b9 zenon_Hb5. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.91 apply (zenon_L53_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.91 apply (zenon_L334_); trivial. % 0.69/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.91 (* end of lemma zenon_L335_ *) % 0.69/0.91 assert (zenon_L336_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H114 zenon_Ha5 zenon_H3b zenon_Hfb zenon_Hfc zenon_H22 zenon_H2b9 zenon_Hb5 zenon_Hcd zenon_H80 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H2b7 zenon_H3e zenon_Hd0 zenon_Hff zenon_H191 zenon_H23 zenon_H1cf zenon_H41 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.91 apply (zenon_L323_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.91 apply (zenon_L333_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L330_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L335_); trivial. % 0.69/0.91 apply (zenon_L58_); trivial. % 0.69/0.91 apply (zenon_L59_); trivial. % 0.69/0.91 apply (zenon_L51_); trivial. % 0.69/0.91 (* end of lemma zenon_L336_ *) % 0.69/0.91 assert (zenon_L337_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H256 zenon_Hc1 zenon_H31 zenon_Hc4 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ]. % 0.69/0.91 apply (zenon_L64_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ]. % 0.69/0.91 apply (zenon_L125_); trivial. % 0.69/0.91 exact (zenon_H84 zenon_H85). % 0.69/0.91 (* end of lemma zenon_L337_ *) % 0.69/0.91 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd4 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H20 zenon_H22 zenon_Hc1. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_L71_); trivial. % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 (* end of lemma zenon_L338_ *) % 0.69/0.91 assert (zenon_L339_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcc zenon_H2ad zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H256. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.91 apply (zenon_L337_); trivial. % 0.69/0.91 apply (zenon_L338_); trivial. % 0.69/0.91 (* end of lemma zenon_L339_ *) % 0.69/0.91 assert (zenon_L340_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a2099)) -> (~(c3_1 (a2099))) -> (~(c2_1 (a2099))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H3b zenon_H225 zenon_H14f zenon_H21e zenon_H21d zenon_H21c zenon_H256 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L339_); trivial. % 0.69/0.91 apply (zenon_L184_); trivial. % 0.69/0.91 (* end of lemma zenon_L340_ *) % 0.69/0.91 assert (zenon_L341_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp7)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H2bb zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H84 zenon_H214. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H160 | zenon_intro zenon_H2bc ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H85 | zenon_intro zenon_H215 ]. % 0.69/0.91 exact (zenon_H84 zenon_H85). % 0.69/0.91 exact (zenon_H214 zenon_H215). % 0.69/0.91 (* end of lemma zenon_L341_ *) % 0.69/0.91 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (c3_1 (a2104)) -> (~(c1_1 (a2104))) -> (~(c0_1 (a2104))) -> (~(hskp7)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd4 zenon_H2bd zenon_H162 zenon_H15f zenon_H161 zenon_H214. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H227 | zenon_intro zenon_H2be ]. % 0.69/0.91 apply (zenon_L185_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H59 | zenon_intro zenon_H215 ]. % 0.69/0.91 apply (zenon_L165_); trivial. % 0.69/0.91 exact (zenon_H214 zenon_H215). % 0.69/0.91 (* end of lemma zenon_L342_ *) % 0.69/0.91 assert (zenon_L343_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H18f zenon_Hcc zenon_H2bd zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.91 apply (zenon_L341_); trivial. % 0.69/0.91 apply (zenon_L342_); trivial. % 0.69/0.91 (* end of lemma zenon_L343_ *) % 0.69/0.91 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H231 zenon_H1a5 zenon_H2bd zenon_H214 zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_H256 zenon_H225 zenon_H3b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_Hf. zenon_intro zenon_H232. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H21e. zenon_intro zenon_H233. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H21c. zenon_intro zenon_H21d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.91 apply (zenon_L340_); trivial. % 0.69/0.91 apply (zenon_L343_); trivial. % 0.69/0.91 (* end of lemma zenon_L344_ *) % 0.69/0.91 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp10)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H12a zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_Hc1. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_L76_); trivial. % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 (* end of lemma zenon_L345_ *) % 0.69/0.91 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc8 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H106 zenon_H107 zenon_H108 zenon_H1d3. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L126_); trivial. % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 (* end of lemma zenon_L346_ *) % 0.69/0.91 assert (zenon_L347_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> (~(hskp7)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcb zenon_H12d zenon_H1d3 zenon_H218 zenon_H214 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H3b zenon_H225 zenon_H256 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_H2bb zenon_H2bd zenon_H1a5 zenon_H234. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ]. % 0.69/0.91 apply (zenon_L177_); trivial. % 0.69/0.91 apply (zenon_L344_); trivial. % 0.69/0.91 apply (zenon_L346_); trivial. % 0.69/0.91 (* end of lemma zenon_L347_ *) % 0.69/0.91 assert (zenon_L348_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c1_1 (a2116)) -> (~(c3_1 (a2116))) -> (~(c2_1 (a2116))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2110))) -> (c0_1 (a2110)) -> (c2_1 (a2110)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_Hfb zenon_H14 zenon_H13 zenon_H11 zenon_H28d zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H108 zenon_H107 zenon_H106 zenon_H295 zenon_H296 zenon_H297 zenon_H2b9 zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H4f | zenon_intro zenon_H28e ]. % 0.69/0.91 apply (zenon_L110_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H10 ]. % 0.69/0.91 generalize (zenon_Hb7 (a2084)). zenon_intro zenon_H109. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_He | zenon_intro zenon_H10a ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.69/0.91 exact (zenon_H106 zenon_H10c). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.69/0.91 generalize (zenon_He8 (a2084)). zenon_intro zenon_H2bf. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_He | zenon_intro zenon_H2c0 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H112 | zenon_intro zenon_H2c1 ]. % 0.69/0.91 exact (zenon_H10e zenon_H112). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H10c | zenon_intro zenon_H113 ]. % 0.69/0.91 exact (zenon_H106 zenon_H10c). % 0.69/0.91 exact (zenon_H113 zenon_H107). % 0.69/0.91 exact (zenon_H10d zenon_H108). % 0.69/0.91 apply (zenon_L305_); trivial. % 0.69/0.91 apply (zenon_L186_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.91 apply (zenon_L14_); trivial. % 0.69/0.91 apply (zenon_L57_); trivial. % 0.69/0.91 (* end of lemma zenon_L348_ *) % 0.69/0.91 assert (zenon_L349_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H3e zenon_Hcf zenon_H2b7 zenon_Ha3 zenon_H26d zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_H22 zenon_H2b9 zenon_H106 zenon_H107 zenon_H108 zenon_H28d zenon_H297 zenon_H296 zenon_H295 zenon_Hfb zenon_H3b zenon_Hff. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.91 apply (zenon_L333_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L330_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L55_); trivial. % 0.69/0.91 apply (zenon_L348_); trivial. % 0.69/0.91 apply (zenon_L59_); trivial. % 0.69/0.91 (* end of lemma zenon_L349_ *) % 0.69/0.91 assert (zenon_L350_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H69 zenon_Hc1 zenon_H235. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.91 apply (zenon_L191_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_L204_); trivial. % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 (* end of lemma zenon_L350_ *) % 0.69/0.91 assert (zenon_L351_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8b zenon_H8c zenon_H8d zenon_H225 zenon_H14f zenon_H106 zenon_H107 zenon_H108 zenon_H23f zenon_H240 zenon_H2c2 zenon_H212 zenon_H3 zenon_H152. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H8a | zenon_intro zenon_H157 ]. % 0.69/0.91 apply (zenon_L41_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H4 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H27 | zenon_intro zenon_H226 ]. % 0.69/0.91 apply (zenon_L14_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H150 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.91 apply (zenon_L63_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.91 generalize (zenon_H1f7 (a2079)). zenon_intro zenon_H2c3. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_He | zenon_intro zenon_H2c4 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H241 | zenon_intro zenon_H2c5 ]. % 0.69/0.91 apply (zenon_L198_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H245 ]. % 0.69/0.91 exact (zenon_H2c2 zenon_H2c6). % 0.69/0.91 exact (zenon_H245 zenon_H23f). % 0.69/0.91 exact (zenon_H11d zenon_H11e). % 0.69/0.91 exact (zenon_H14f zenon_H150). % 0.69/0.91 exact (zenon_H3 zenon_H4). % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 (* end of lemma zenon_L351_ *) % 0.69/0.91 assert (zenon_L352_ : (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (ndr1_0) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c3_1 (a2079))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H22b zenon_Hf zenon_H159 zenon_H23f zenon_H240 zenon_H2c2. % 0.69/0.91 generalize (zenon_H22b (a2079)). zenon_intro zenon_H2c7. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_He | zenon_intro zenon_H2c8 ]. % 0.69/0.91 exact (zenon_He zenon_Hf). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H241 | zenon_intro zenon_H2c9 ]. % 0.69/0.91 apply (zenon_L198_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H247 ]. % 0.69/0.91 exact (zenon_H2c2 zenon_H2c6). % 0.69/0.91 exact (zenon_H247 zenon_H240). % 0.69/0.91 (* end of lemma zenon_L352_ *) % 0.69/0.91 assert (zenon_L353_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))) -> (~(hskp26)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H2c2 zenon_H240 zenon_H23f zenon_Hf zenon_H22b zenon_H11d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.91 apply (zenon_L14_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.91 apply (zenon_L352_); trivial. % 0.69/0.91 exact (zenon_H11d zenon_H11e). % 0.69/0.91 (* end of lemma zenon_L353_ *) % 0.69/0.91 assert (zenon_L354_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2104))) -> (~(c1_1 (a2104))) -> (c3_1 (a2104)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H161 zenon_H15f zenon_H162 zenon_H106 zenon_H107 zenon_H108 zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H22f. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H227 | zenon_intro zenon_H230 ]. % 0.69/0.91 apply (zenon_L185_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H165 | zenon_intro zenon_H22b ]. % 0.69/0.91 apply (zenon_L125_); trivial. % 0.69/0.91 apply (zenon_L353_); trivial. % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 (* end of lemma zenon_L354_ *) % 0.69/0.91 assert (zenon_L355_ : ((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H18f zenon_H3b zenon_H12d zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H22f zenon_H256 zenon_H106 zenon_H107 zenon_H108 zenon_H31 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hf. zenon_intro zenon_H192. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H162. zenon_intro zenon_H193. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L339_); trivial. % 0.69/0.91 apply (zenon_L354_); trivial. % 0.69/0.91 (* end of lemma zenon_L355_ *) % 0.69/0.91 assert (zenon_L356_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c3_1 (a2079))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd1 zenon_H1a5 zenon_H22f zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H31 zenon_H108 zenon_H107 zenon_H106 zenon_H256 zenon_H152 zenon_H3 zenon_H212 zenon_H2c2 zenon_H240 zenon_H23f zenon_H225 zenon_H12d zenon_H3b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L339_); trivial. % 0.69/0.91 apply (zenon_L351_); trivial. % 0.69/0.91 apply (zenon_L355_); trivial. % 0.69/0.91 (* end of lemma zenon_L356_ *) % 0.69/0.91 assert (zenon_L357_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(c3_1 (a2079))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcb zenon_H1d3 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H256 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_Hc1 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_H225 zenon_H2c2 zenon_H3 zenon_H152 zenon_H22f zenon_H1a5 zenon_Hd0. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L339_); trivial. % 0.69/0.91 apply (zenon_L350_); trivial. % 0.69/0.91 apply (zenon_L356_); trivial. % 0.69/0.91 apply (zenon_L346_); trivial. % 0.69/0.91 (* end of lemma zenon_L357_ *) % 0.69/0.91 assert (zenon_L358_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hcb zenon_Hcf zenon_Hc4 zenon_Hc1 zenon_Ha3 zenon_H26d zenon_H295 zenon_H296 zenon_H297 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H2ad zenon_Hff. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.91 apply (zenon_L258_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.91 apply (zenon_L319_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.91 apply (zenon_L114_); trivial. % 0.69/0.91 exact (zenon_H41 zenon_H42). % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 apply (zenon_L123_); trivial. % 0.69/0.91 (* end of lemma zenon_L358_ *) % 0.69/0.91 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H1d7 zenon_H114 zenon_Hfc zenon_Hff zenon_H2ad zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.91 apply (zenon_L358_); trivial. % 0.69/0.91 apply (zenon_L130_); trivial. % 0.69/0.91 (* end of lemma zenon_L359_ *) % 0.69/0.91 assert (zenon_L360_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((hskp17)\/((hskp23)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H114 zenon_Ha5 zenon_H3e zenon_H3b zenon_H1c9 zenon_Hfc zenon_H22 zenon_H2b9 zenon_Hb5 zenon_Hcd zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_Hd0 zenon_Hff zenon_H2ad zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_H297 zenon_H296 zenon_H295 zenon_H26d zenon_Ha3 zenon_Hc4 zenon_Hcf zenon_Hcb. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.91 apply (zenon_L358_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L330_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L335_); trivial. % 0.69/0.91 apply (zenon_L122_); trivial. % 0.69/0.91 apply (zenon_L59_); trivial. % 0.69/0.91 apply (zenon_L51_); trivial. % 0.69/0.91 (* end of lemma zenon_L360_ *) % 0.69/0.91 assert (zenon_L361_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16))))))\/(hskp17))) -> (~(hskp1)) -> ((hskp17)\/((hskp23)\/(hskp1))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H3e zenon_Hcf zenon_H2b7 zenon_Ha3 zenon_H26d zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H22 zenon_H2b9 zenon_H106 zenon_H107 zenon_H108 zenon_H28d zenon_H297 zenon_H296 zenon_H295 zenon_Hfb zenon_H3b zenon_Hff. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.91 apply (zenon_L333_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.91 apply (zenon_L330_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.91 apply (zenon_L119_); trivial. % 0.69/0.91 apply (zenon_L348_); trivial. % 0.69/0.91 apply (zenon_L59_); trivial. % 0.69/0.91 (* end of lemma zenon_L361_ *) % 0.69/0.91 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp12)) -> (~(c3_1 (a2160))) -> (c1_1 (a2160)) -> (c2_1 (a2160)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp10)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd4 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H69 zenon_H141 zenon_H142 zenon_H14a zenon_H23b zenon_Hc1. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_L193_); trivial. % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 (* end of lemma zenon_L362_ *) % 0.69/0.91 assert (zenon_L363_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H69 zenon_Hc1 zenon_H235. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.69/0.91 apply (zenon_L191_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.91 apply (zenon_L341_); trivial. % 0.69/0.91 apply (zenon_L362_); trivial. % 0.69/0.91 (* end of lemma zenon_L363_ *) % 0.69/0.91 assert (zenon_L364_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (~(hskp27)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H20d zenon_H1e6 zenon_H1dd zenon_H1de zenon_Hf zenon_H17e zenon_H84. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1ef | zenon_intro zenon_H20e ]. % 0.69/0.91 apply (zenon_L144_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_He8 | zenon_intro zenon_H85 ]. % 0.69/0.91 apply (zenon_L135_); trivial. % 0.69/0.91 exact (zenon_H84 zenon_H85). % 0.69/0.91 (* end of lemma zenon_L364_ *) % 0.69/0.91 assert (zenon_L365_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp17)) -> (~(hskp1)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H2ca zenon_H84 zenon_Hf zenon_H1de zenon_H1dd zenon_H1e6 zenon_H20d zenon_H1 zenon_Ha3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H17e | zenon_intro zenon_H2cb ]. % 0.69/0.91 apply (zenon_L364_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2 | zenon_intro zenon_Ha4 ]. % 0.69/0.91 exact (zenon_H1 zenon_H2). % 0.69/0.91 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.91 (* end of lemma zenon_L365_ *) % 0.69/0.91 assert (zenon_L366_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp10)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H10 zenon_Hc1. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.91 apply (zenon_L318_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.91 apply (zenon_L70_); trivial. % 0.69/0.91 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.91 (* end of lemma zenon_L366_ *) % 0.69/0.91 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp10)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_Hc1 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_Hb5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.91 apply (zenon_L41_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.91 apply (zenon_L366_); trivial. % 0.69/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.91 (* end of lemma zenon_L367_ *) % 0.69/0.92 assert (zenon_L368_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H8d zenon_H8c zenon_H8b zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1 zenon_Ha3 zenon_H2ca. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L365_); trivial. % 0.69/0.92 apply (zenon_L367_); trivial. % 0.69/0.92 (* end of lemma zenon_L368_ *) % 0.69/0.92 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp10)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H100 zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H7c zenon_Ha3 zenon_Ha5 zenon_Hc1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ae ]. % 0.69/0.92 apply (zenon_L318_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hc2 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H45 | zenon_intro zenon_Ha6 ]. % 0.69/0.92 apply (zenon_L319_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H7d ]. % 0.69/0.92 exact (zenon_Ha3 zenon_Ha4). % 0.69/0.92 exact (zenon_H7c zenon_H7d). % 0.69/0.92 exact (zenon_Hc1 zenon_Hc2). % 0.69/0.92 (* end of lemma zenon_L369_ *) % 0.69/0.92 assert (zenon_L370_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hd0 zenon_Hff zenon_H7c zenon_Ha5 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hb5 zenon_Hcd zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_L363_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.92 apply (zenon_L368_); trivial. % 0.69/0.92 apply (zenon_L369_); trivial. % 0.69/0.92 (* end of lemma zenon_L370_ *) % 0.69/0.92 assert (zenon_L371_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_H7c zenon_Hff zenon_Hd0. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L370_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L371_ *) % 0.69/0.92 assert (zenon_L372_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L347_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L372_ *) % 0.69/0.92 assert (zenon_L373_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L205_); trivial. % 0.69/0.92 apply (zenon_L338_); trivial. % 0.69/0.92 (* end of lemma zenon_L373_ *) % 0.69/0.92 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> (~(hskp14)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H100 zenon_H3b zenon_Hfb zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_H188 zenon_H18b zenon_H1e6 zenon_H1de zenon_H1dd zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L373_); trivial. % 0.69/0.92 apply (zenon_L137_); trivial. % 0.69/0.92 (* end of lemma zenon_L374_ *) % 0.69/0.92 assert (zenon_L375_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1a1 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_Ha3 zenon_H1eb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.92 apply (zenon_L141_); trivial. % 0.69/0.92 apply (zenon_L345_); trivial. % 0.69/0.92 (* end of lemma zenon_L375_ *) % 0.69/0.92 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hd1 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_Hfb zenon_H3b zenon_Hff. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.92 apply (zenon_L368_); trivial. % 0.69/0.92 apply (zenon_L374_); trivial. % 0.69/0.92 apply (zenon_L375_); trivial. % 0.69/0.92 (* end of lemma zenon_L376_ *) % 0.69/0.92 assert (zenon_L377_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hd0 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_Hfb zenon_H3b zenon_Hff zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_L363_); trivial. % 0.69/0.92 apply (zenon_L376_); trivial. % 0.69/0.92 (* end of lemma zenon_L377_ *) % 0.69/0.92 assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_Hcb zenon_Hd0 zenon_H1a4 zenon_H12d zenon_H1eb zenon_Hcd zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H22 zenon_H18b zenon_Hfb zenon_H3b zenon_Hff zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H23 zenon_H209 zenon_H114. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L377_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 apply (zenon_L372_); trivial. % 0.69/0.92 (* end of lemma zenon_L378_ *) % 0.69/0.92 assert (zenon_L379_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H20 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H1 zenon_Ha3 zenon_H2ca. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L365_); trivial. % 0.69/0.92 apply (zenon_L338_); trivial. % 0.69/0.92 (* end of lemma zenon_L379_ *) % 0.69/0.92 assert (zenon_L380_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp26)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_H240 zenon_H23f zenon_Hf zenon_H10 zenon_H11d. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.92 apply (zenon_L14_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.92 apply (zenon_L199_); trivial. % 0.69/0.92 exact (zenon_H11d zenon_H11e). % 0.69/0.92 (* end of lemma zenon_L380_ *) % 0.69/0.92 assert (zenon_L381_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c1_1 (a2095)) -> (~(c2_1 (a2095))) -> (~(c0_1 (a2095))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hcd zenon_H8d zenon_H8c zenon_H8b zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_Hb5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.69/0.92 apply (zenon_L41_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.69/0.92 apply (zenon_L380_); trivial. % 0.69/0.92 exact (zenon_Hb5 zenon_Hb6). % 0.69/0.92 (* end of lemma zenon_L381_ *) % 0.69/0.92 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(c0_1 (a2095))) -> (~(c2_1 (a2095))) -> (c1_1 (a2095)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8b zenon_H8c zenon_H8d zenon_H212 zenon_H240 zenon_H23f zenon_Hb5 zenon_Hcd. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.92 apply (zenon_L381_); trivial. % 0.69/0.92 apply (zenon_L345_); trivial. % 0.69/0.92 (* end of lemma zenon_L382_ *) % 0.69/0.92 assert (zenon_L383_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hd0 zenon_Hcd zenon_Hb5 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L379_); trivial. % 0.69/0.92 apply (zenon_L350_); trivial. % 0.69/0.92 apply (zenon_L369_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L379_); trivial. % 0.69/0.92 apply (zenon_L382_); trivial. % 0.69/0.92 apply (zenon_L369_); trivial. % 0.69/0.92 (* end of lemma zenon_L383_ *) % 0.69/0.92 assert (zenon_L384_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_Hff zenon_H7c zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hb5 zenon_Hcd zenon_Hd0. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L383_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L384_ *) % 0.69/0.92 assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L385_ *) % 0.69/0.92 assert (zenon_L386_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1a4 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H2ad zenon_Hc1 zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H235 zenon_H69 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L373_); trivial. % 0.69/0.92 apply (zenon_L350_); trivial. % 0.69/0.92 apply (zenon_L375_); trivial. % 0.69/0.92 (* end of lemma zenon_L386_ *) % 0.69/0.92 assert (zenon_L387_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hd0 zenon_Hcd zenon_Hb5 zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_Hc1 zenon_H2ad zenon_Hcc zenon_H1eb zenon_Ha3 zenon_H1a4. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_L386_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L373_); trivial. % 0.69/0.92 apply (zenon_L382_); trivial. % 0.69/0.92 apply (zenon_L375_); trivial. % 0.69/0.92 (* end of lemma zenon_L387_ *) % 0.69/0.92 assert (zenon_L388_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1a4 zenon_Ha3 zenon_H1eb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H20d zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hb5 zenon_Hcd zenon_Hd0. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L387_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L388_ *) % 0.69/0.92 assert (zenon_L389_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_H5 zenon_H3 zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L347_); trivial. % 0.69/0.92 apply (zenon_L233_); trivial. % 0.69/0.92 (* end of lemma zenon_L389_ *) % 0.69/0.92 assert (zenon_L390_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp8)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_Hff zenon_H7c zenon_Ha5 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hcd zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H3e zenon_H80 zenon_H7e zenon_H22 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H6d zenon_Hfb zenon_H3b zenon_H3 zenon_H5 zenon_He5 zenon_H114. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L370_); trivial. % 0.69/0.92 apply (zenon_L233_); trivial. % 0.69/0.92 apply (zenon_L389_); trivial. % 0.69/0.92 (* end of lemma zenon_L390_ *) % 0.69/0.92 assert (zenon_L391_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> (ndr1_0) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp29)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H26f zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_Hf zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H3f. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_He8 | zenon_intro zenon_H270 ]. % 0.69/0.92 apply (zenon_L226_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H10 | zenon_intro zenon_H40 ]. % 0.69/0.92 apply (zenon_L259_); trivial. % 0.69/0.92 exact (zenon_H3f zenon_H40). % 0.69/0.92 (* end of lemma zenon_L391_ *) % 0.69/0.92 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H100 zenon_H3b zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H22 zenon_Hfb zenon_H64 zenon_Hcc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L227_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.92 apply (zenon_L391_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.69/0.92 apply (zenon_L226_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.69/0.92 apply (zenon_L262_); trivial. % 0.69/0.92 apply (zenon_L57_); trivial. % 0.69/0.92 apply (zenon_L230_); trivial. % 0.69/0.92 (* end of lemma zenon_L392_ *) % 0.69/0.92 assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H103 zenon_Hcb zenon_Hff zenon_H3b zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H62 zenon_H22 zenon_Hfb zenon_H64 zenon_Hcc zenon_H3 zenon_H5 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.92 apply (zenon_L107_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.69/0.92 apply (zenon_L3_); trivial. % 0.69/0.92 apply (zenon_L392_); trivial. % 0.69/0.92 (* end of lemma zenon_L393_ *) % 0.69/0.92 assert (zenon_L394_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H26f zenon_H62 zenon_H64 zenon_H3 zenon_H5 zenon_Hfc zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hff zenon_H3b zenon_Hfb zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H22 zenon_H2ca zenon_Ha3 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_Hb5 zenon_Hcd zenon_H1eb zenon_H12d zenon_H1a4 zenon_Hd0. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L377_); trivial. % 0.69/0.92 apply (zenon_L393_); trivial. % 0.69/0.92 (* end of lemma zenon_L394_ *) % 0.69/0.92 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H12a zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L227_); trivial. % 0.69/0.92 apply (zenon_L166_); trivial. % 0.69/0.92 (* end of lemma zenon_L395_ *) % 0.69/0.92 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc8 zenon_H12d zenon_Hcc zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H106 zenon_H107 zenon_H108 zenon_H1d3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.92 apply (zenon_L126_); trivial. % 0.69/0.92 apply (zenon_L395_); trivial. % 0.69/0.92 (* end of lemma zenon_L396_ *) % 0.69/0.92 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H12d zenon_Hcc zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H106 zenon_H107 zenon_H108 zenon_H1d3 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.92 apply (zenon_L107_); trivial. % 0.69/0.92 apply (zenon_L396_); trivial. % 0.69/0.92 (* end of lemma zenon_L397_ *) % 0.69/0.92 assert (zenon_L398_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H234 zenon_H1a5 zenon_H2bd zenon_H2bb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H214 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L347_); trivial. % 0.69/0.92 apply (zenon_L397_); trivial. % 0.69/0.92 (* end of lemma zenon_L398_ *) % 0.69/0.92 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_He5 zenon_H5 zenon_Hfb zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L233_); trivial. % 0.69/0.92 (* end of lemma zenon_L399_ *) % 0.69/0.92 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H1a5 zenon_H22f zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_H256 zenon_H235 zenon_H212 zenon_H23f zenon_H240 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_H1d3 zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L397_); trivial. % 0.69/0.92 (* end of lemma zenon_L400_ *) % 0.69/0.92 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((hskp17)\/(hskp2)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H2cc zenon_H2cd zenon_H18b zenon_H1eb zenon_H1a4 zenon_Hfc zenon_H64 zenon_H62 zenon_H26f zenon_H114 zenon_He5 zenon_H5 zenon_H3 zenon_Hfb zenon_H6d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H7e zenon_H80 zenon_H3e zenon_Hff zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hcd zenon_Hd0 zenon_Hcb zenon_H1d3 zenon_H256 zenon_Hc4 zenon_H225 zenon_H152 zenon_H22f zenon_H1a5 zenon_H115. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L383_); trivial. % 0.69/0.92 apply (zenon_L233_); trivial. % 0.69/0.92 apply (zenon_L399_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L387_); trivial. % 0.69/0.92 apply (zenon_L393_); trivial. % 0.69/0.92 apply (zenon_L400_); trivial. % 0.69/0.92 (* end of lemma zenon_L401_ *) % 0.69/0.92 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> (~(hskp4)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp12)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(hskp3)) -> (~(c0_1 (a2068))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H3a zenon_H2b9 zenon_H23 zenon_H1cf zenon_H69 zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_H297 zenon_H296 zenon_H41 zenon_H295 zenon_H191. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H160 | zenon_intro zenon_H2ba ]. % 0.69/0.92 apply (zenon_L318_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H6f | zenon_intro zenon_H22b ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.69/0.92 apply (zenon_L318_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.92 apply (zenon_L305_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.92 apply (zenon_L254_); trivial. % 0.69/0.92 exact (zenon_H69 zenon_H6a). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.92 apply (zenon_L320_); trivial. % 0.69/0.92 exact (zenon_H41 zenon_H42). % 0.69/0.92 exact (zenon_H23 zenon_H24). % 0.69/0.92 apply (zenon_L186_); trivial. % 0.69/0.92 (* end of lemma zenon_L402_ *) % 0.69/0.92 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_He5 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_H295 zenon_H296 zenon_H297 zenon_H191 zenon_H23 zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1cf zenon_H2b9 zenon_H3e. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.92 apply (zenon_L36_); trivial. % 0.69/0.92 apply (zenon_L402_); trivial. % 0.69/0.92 apply (zenon_L59_); trivial. % 0.69/0.92 (* end of lemma zenon_L403_ *) % 0.69/0.92 assert (zenon_L404_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_He5 zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H295 zenon_H296 zenon_H297 zenon_H191 zenon_H23 zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H41 zenon_H1cf zenon_H2b9 zenon_H3e. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.92 apply (zenon_L330_); trivial. % 0.69/0.92 apply (zenon_L402_); trivial. % 0.69/0.92 apply (zenon_L59_); trivial. % 0.69/0.92 (* end of lemma zenon_L404_ *) % 0.69/0.92 assert (zenon_L405_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H27 zenon_Hf zenon_H1a6 zenon_H8a zenon_H1a7 zenon_H1a8. % 0.69/0.92 generalize (zenon_H27 (a2076)). zenon_intro zenon_H2d0. % 0.69/0.92 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_He | zenon_intro zenon_H2d1 ]. % 0.69/0.92 exact (zenon_He zenon_Hf). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H1ac | zenon_intro zenon_H2b6 ]. % 0.69/0.92 exact (zenon_H1a6 zenon_H1ac). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2af | zenon_intro zenon_H1ad ]. % 0.69/0.92 apply (zenon_L326_); trivial. % 0.69/0.92 exact (zenon_H1ad zenon_H1a8). % 0.69/0.92 (* end of lemma zenon_L405_ *) % 0.69/0.92 assert (zenon_L406_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp29)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H2d2 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_Hf zenon_H84 zenon_H3f. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H27 | zenon_intro zenon_H2d3 ]. % 0.69/0.92 apply (zenon_L405_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H85 | zenon_intro zenon_H40 ]. % 0.69/0.92 exact (zenon_H84 zenon_H85). % 0.69/0.92 exact (zenon_H3f zenon_H40). % 0.69/0.92 (* end of lemma zenon_L406_ *) % 0.69/0.92 assert (zenon_L407_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp29)) -> (~(hskp27)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.69/0.92 do 0 intro. intros zenon_He5 zenon_H3f zenon_H84 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_Hde zenon_Hdd zenon_Hdc zenon_Hf zenon_H7c. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.69/0.92 apply (zenon_L406_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.69/0.92 apply (zenon_L54_); trivial. % 0.69/0.92 exact (zenon_H7c zenon_H7d). % 0.69/0.92 (* end of lemma zenon_L407_ *) % 0.69/0.92 assert (zenon_L408_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (~(hskp27)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H64 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H2d2 zenon_H84 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.69/0.92 apply (zenon_L407_); trivial. % 0.69/0.92 apply (zenon_L35_); trivial. % 0.69/0.92 (* end of lemma zenon_L408_ *) % 0.69/0.92 assert (zenon_L409_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H3e zenon_H1c5 zenon_H6d zenon_H69 zenon_H64 zenon_H7e zenon_H2d2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hcc zenon_H80. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.69/0.92 apply (zenon_L31_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.69/0.92 apply (zenon_L408_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.92 apply (zenon_L32_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H7d ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H10 | zenon_intro zenon_H23c ]. % 0.69/0.92 apply (zenon_L46_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H237 | zenon_intro zenon_H6a ]. % 0.69/0.92 apply (zenon_L254_); trivial. % 0.69/0.92 exact (zenon_H69 zenon_H6a). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H42 ]. % 0.69/0.92 apply (zenon_L114_); trivial. % 0.69/0.92 exact (zenon_H41 zenon_H42). % 0.69/0.92 exact (zenon_H7c zenon_H7d). % 0.69/0.92 apply (zenon_L255_); trivial. % 0.69/0.92 (* end of lemma zenon_L409_ *) % 0.69/0.92 assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_Hcc zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_He5 zenon_H7c zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_H7e zenon_H64 zenon_H6d zenon_H1c5 zenon_H3e. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.69/0.92 apply (zenon_L409_); trivial. % 0.69/0.92 apply (zenon_L59_); trivial. % 0.69/0.92 (* end of lemma zenon_L410_ *) % 0.69/0.92 assert (zenon_L411_ : ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H159 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H11d. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H45 | zenon_intro zenon_H1d4 ]. % 0.69/0.92 apply (zenon_L242_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H165 | zenon_intro zenon_H11e ]. % 0.69/0.92 apply (zenon_L125_); trivial. % 0.69/0.92 exact (zenon_H11d zenon_H11e). % 0.69/0.92 (* end of lemma zenon_L411_ *) % 0.69/0.92 assert (zenon_L412_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H212 zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H11d. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.69/0.92 apply (zenon_L14_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.69/0.92 apply (zenon_L411_); trivial. % 0.69/0.92 exact (zenon_H11d zenon_H11e). % 0.69/0.92 (* end of lemma zenon_L412_ *) % 0.69/0.92 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H35 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H1d3 zenon_H108 zenon_H107 zenon_H106 zenon_H25a zenon_H259 zenon_H258 zenon_H212. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.69/0.92 apply (zenon_L412_); trivial. % 0.69/0.92 apply (zenon_L345_); trivial. % 0.69/0.92 (* end of lemma zenon_L413_ *) % 0.69/0.92 assert (zenon_L414_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hcb zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_Hc4 zenon_Hc1 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H256 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H12d zenon_H3b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.69/0.92 apply (zenon_L339_); trivial. % 0.69/0.92 apply (zenon_L413_); trivial. % 0.69/0.92 apply (zenon_L346_); trivial. % 0.69/0.92 (* end of lemma zenon_L414_ *) % 0.69/0.92 assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H116 zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.69/0.92 apply (zenon_L414_); trivial. % 0.69/0.92 apply (zenon_L156_); trivial. % 0.69/0.92 (* end of lemma zenon_L415_ *) % 0.69/0.92 assert (zenon_L416_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H2cd zenon_H234 zenon_H1a5 zenon_H2bd zenon_H225 zenon_H218 zenon_H1a4 zenon_H1eb zenon_H18b zenon_Hfb zenon_H114 zenon_H209 zenon_H23 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_Hff zenon_Hd0 zenon_Hcb zenon_H22 zenon_Hc4 zenon_H256 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H12d zenon_H3b zenon_H115. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.69/0.92 apply (zenon_L371_); trivial. % 0.69/0.92 apply (zenon_L415_); trivial. % 0.69/0.92 apply (zenon_L378_); trivial. % 0.69/0.92 (* end of lemma zenon_L416_ *) % 0.69/0.92 assert (zenon_L417_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H115 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H256 zenon_Hc4 zenon_Hcb zenon_Hd0 zenon_Hcd zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff zenon_H23 zenon_H209 zenon_H114. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.93 apply (zenon_L384_); trivial. % 0.77/0.93 apply (zenon_L415_); trivial. % 0.77/0.93 (* end of lemma zenon_L417_ *) % 0.77/0.93 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H2cc zenon_H2cd zenon_H18b zenon_H1eb zenon_H1a4 zenon_H114 zenon_H209 zenon_H23 zenon_Hff zenon_Ha5 zenon_Hcc zenon_H2ad zenon_H22 zenon_H297 zenon_H296 zenon_H295 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_H235 zenon_H212 zenon_H23b zenon_H12d zenon_H153 zenon_H3b zenon_Hcd zenon_Hd0 zenon_Hcb zenon_Hc4 zenon_H256 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H115. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.93 apply (zenon_L417_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.93 apply (zenon_L388_); trivial. % 0.77/0.93 apply (zenon_L415_); trivial. % 0.77/0.93 (* end of lemma zenon_L418_ *) % 0.77/0.93 assert (zenon_L419_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H114 zenon_He5 zenon_H3b zenon_Hfb zenon_H259 zenon_H258 zenon_H25a zenon_H6d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H22 zenon_H7e zenon_H80 zenon_H3e zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_Hcd zenon_Hb5 zenon_H20d zenon_H1e6 zenon_H1de zenon_H1dd zenon_Ha3 zenon_H2ca zenon_Ha5 zenon_H7c zenon_Hff zenon_Hd0. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L370_); trivial. % 0.77/0.93 apply (zenon_L283_); trivial. % 0.77/0.93 (* end of lemma zenon_L419_ *) % 0.77/0.93 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_He5 zenon_Hfb zenon_H23b zenon_H6d zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H7c zenon_H7e zenon_H80 zenon_H3e zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L414_); trivial. % 0.77/0.93 apply (zenon_L283_); trivial. % 0.77/0.93 (* end of lemma zenon_L420_ *) % 0.77/0.93 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(hskp26)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hd4 zenon_H64 zenon_Hfb zenon_H258 zenon_H259 zenon_H11d zenon_H212 zenon_H22 zenon_H20 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1e6 zenon_H1de zenon_H1dd zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H26f. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H66 ]. % 0.77/0.93 apply (zenon_L391_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_Hf. zenon_intro zenon_H67. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H51. zenon_intro zenon_H68. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H5d. zenon_intro zenon_H52. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.93 apply (zenon_L226_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.93 apply (zenon_L262_); trivial. % 0.77/0.93 apply (zenon_L265_); trivial. % 0.77/0.93 (* end of lemma zenon_L421_ *) % 0.77/0.93 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H8 zenon_H11f. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L75_); trivial. % 0.77/0.93 apply (zenon_L395_); trivial. % 0.77/0.93 (* end of lemma zenon_L422_ *) % 0.77/0.93 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H35 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H1f5 zenon_H8 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H212 zenon_H208. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L171_); trivial. % 0.77/0.93 apply (zenon_L395_); trivial. % 0.77/0.93 (* end of lemma zenon_L423_ *) % 0.77/0.93 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((hskp28)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H3b zenon_H1f5 zenon_H208 zenon_H12d zenon_H20d zenon_H88 zenon_H8 zenon_H26f zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc zenon_H11f zenon_Hcf zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.93 apply (zenon_L107_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L40_); trivial. % 0.77/0.93 apply (zenon_L421_); trivial. % 0.77/0.93 apply (zenon_L395_); trivial. % 0.77/0.93 apply (zenon_L422_); trivial. % 0.77/0.93 apply (zenon_L423_); trivial. % 0.77/0.93 (* end of lemma zenon_L424_ *) % 0.77/0.93 assert (zenon_L425_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H115 zenon_H1d3 zenon_H256 zenon_Hc4 zenon_Hcb zenon_Hd0 zenon_Hcd zenon_H3b zenon_H153 zenon_H12d zenon_H23b zenon_H240 zenon_H23f zenon_H212 zenon_H235 zenon_H2ca zenon_Ha3 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H20d zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Ha5 zenon_H7c zenon_Hff zenon_H3e zenon_H80 zenon_H7e zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H6d zenon_H25a zenon_H258 zenon_H259 zenon_Hfb zenon_He5 zenon_H114. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L383_); trivial. % 0.77/0.93 apply (zenon_L283_); trivial. % 0.77/0.93 apply (zenon_L420_); trivial. % 0.77/0.93 (* end of lemma zenon_L425_ *) % 0.77/0.93 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H116 zenon_H114 zenon_H62 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L414_); trivial. % 0.77/0.93 apply (zenon_L397_); trivial. % 0.77/0.93 (* end of lemma zenon_L426_ *) % 0.77/0.93 assert (zenon_L427_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (c1_1 (a2172)) -> (~(c3_1 (a2172))) -> (~(c0_1 (a2172))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (c1_1 (a2073)) -> (c3_1 (a2073)) -> (c0_1 (a2073)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp8)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H7e zenon_H72 zenon_H71 zenon_H70 zenon_H69 zenon_Hf zenon_H25a zenon_H258 zenon_H259 zenon_Ha7 zenon_Ha8 zenon_Ha9 zenon_H23b zenon_H7c. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.93 apply (zenon_L226_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_L277_); trivial. % 0.77/0.93 (* end of lemma zenon_L427_ *) % 0.77/0.93 assert (zenon_L428_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp12)) -> (~(hskp18)) -> ((hskp12)\/((hskp25)\/(hskp18))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H80 zenon_Hcc zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_H69 zenon_Ha zenon_H6d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.77/0.93 apply (zenon_L31_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L227_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H8a | zenon_intro zenon_He6 ]. % 0.77/0.93 apply (zenon_L427_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H7d ]. % 0.77/0.93 apply (zenon_L54_); trivial. % 0.77/0.93 exact (zenon_H7c zenon_H7d). % 0.77/0.93 (* end of lemma zenon_L428_ *) % 0.77/0.93 assert (zenon_L429_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H80 zenon_Hcc zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H22 zenon_H3b zenon_H3e. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.93 apply (zenon_L428_); trivial. % 0.77/0.93 apply (zenon_L282_); trivial. % 0.77/0.93 apply (zenon_L59_); trivial. % 0.77/0.93 (* end of lemma zenon_L429_ *) % 0.77/0.93 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hd0 zenon_H80 zenon_He5 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H7e zenon_H7c zenon_H23b zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H3e zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L414_); trivial. % 0.77/0.93 apply (zenon_L429_); trivial. % 0.77/0.93 (* end of lemma zenon_L430_ *) % 0.77/0.93 assert (zenon_L431_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c2_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H259 zenon_Hf1 zenon_H258 zenon_Hf zenon_H11d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.77/0.93 apply (zenon_L264_); trivial. % 0.77/0.93 exact (zenon_H11d zenon_H11e). % 0.77/0.93 (* end of lemma zenon_L431_ *) % 0.77/0.93 assert (zenon_L432_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp26)) -> (c0_1 (a2071)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (c2_1 (a2071)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp10)) -> (ndr1_0) -> (c0_1 (a2073)) -> (c3_1 (a2073)) -> (c1_1 (a2073)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcd zenon_H11d zenon_H258 zenon_Hf1 zenon_H259 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hc1 zenon_Hf zenon_Ha9 zenon_Ha8 zenon_Ha7 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_Hb5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.77/0.93 apply (zenon_L431_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.77/0.93 apply (zenon_L366_); trivial. % 0.77/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.93 (* end of lemma zenon_L432_ *) % 0.77/0.93 assert (zenon_L433_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H12d zenon_H20d zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hf zenon_H26f zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H20 zenon_H22 zenon_H212 zenon_H259 zenon_H258 zenon_Hfb zenon_H64 zenon_Hcc. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L227_); trivial. % 0.77/0.93 apply (zenon_L421_); trivial. % 0.77/0.93 apply (zenon_L395_); trivial. % 0.77/0.93 (* end of lemma zenon_L433_ *) % 0.77/0.93 assert (zenon_L434_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (ndr1_0) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcc zenon_Hfb zenon_H212 zenon_H11d zenon_H259 zenon_H258 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_Hb5 zenon_Hcd zenon_H2a zenon_H29 zenon_H28 zenon_Hf zenon_H1dd zenon_H1de zenon_H1e6 zenon_H18b zenon_H188 zenon_H177 zenon_H176 zenon_H175 zenon_H20d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L205_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.93 apply (zenon_L136_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.93 apply (zenon_L14_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.77/0.93 apply (zenon_L431_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.77/0.93 apply (zenon_L259_); trivial. % 0.77/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.93 (* end of lemma zenon_L434_ *) % 0.77/0.93 assert (zenon_L435_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp1))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1a1 zenon_H12d zenon_Hcc zenon_H62 zenon_H48 zenon_H47 zenon_H46 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hde zenon_Hdd zenon_Hdc zenon_H20d zenon_Ha3 zenon_H1eb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L141_); trivial. % 0.77/0.93 apply (zenon_L395_); trivial. % 0.77/0.93 (* end of lemma zenon_L435_ *) % 0.77/0.93 assert (zenon_L436_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H259 zenon_H258 zenon_Hf zenon_H11d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.93 apply (zenon_L226_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_L431_); trivial. % 0.77/0.93 (* end of lemma zenon_L436_ *) % 0.77/0.93 assert (zenon_L437_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(c0_1 (a2140))) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcd zenon_H258 zenon_H259 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hde zenon_Hdd zenon_Hdc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_Hfb zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H28 zenon_H29 zenon_H2a zenon_H212 zenon_Hb5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.77/0.93 apply (zenon_L436_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.77/0.93 apply (zenon_L380_); trivial. % 0.77/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.93 (* end of lemma zenon_L437_ *) % 0.77/0.93 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc3 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H11f. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hf. zenon_intro zenon_Hc5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hb8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L75_); trivial. % 0.77/0.93 apply (zenon_L345_); trivial. % 0.77/0.93 (* end of lemma zenon_L438_ *) % 0.77/0.93 assert (zenon_L439_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcf zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H11f zenon_H235 zenon_Hc1 zenon_H69 zenon_H88 zenon_H8 zenon_H46 zenon_H47 zenon_H48 zenon_H23b zenon_H62 zenon_Hcc zenon_H153. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.77/0.93 apply (zenon_L196_); trivial. % 0.77/0.93 apply (zenon_L438_); trivial. % 0.77/0.93 (* end of lemma zenon_L439_ *) % 0.77/0.93 assert (zenon_L440_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcb zenon_H62 zenon_H11f zenon_H12d zenon_Hcf zenon_Hc4 zenon_H235 zenon_Hc1 zenon_H88 zenon_H8 zenon_H295 zenon_H296 zenon_H297 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H12e | zenon_intro zenon_H154 ]. % 0.77/0.93 apply (zenon_L191_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H155. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H142. zenon_intro zenon_H156. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14a. zenon_intro zenon_H141. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L40_); trivial. % 0.77/0.93 apply (zenon_L362_); trivial. % 0.77/0.93 apply (zenon_L50_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_L439_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 (* end of lemma zenon_L440_ *) % 0.77/0.93 assert (zenon_L441_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2140)) -> (c2_1 (a2140)) -> (~(c0_1 (a2140))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44)))))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1c9 zenon_H2a zenon_H29 zenon_H28 zenon_He7 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H41. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H165 | zenon_intro zenon_H1ca ]. % 0.77/0.93 apply (zenon_L120_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H42 ]. % 0.77/0.93 apply (zenon_L285_); trivial. % 0.77/0.93 exact (zenon_H41 zenon_H42). % 0.77/0.93 (* end of lemma zenon_L441_ *) % 0.77/0.93 assert (zenon_L442_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp3)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (~(hskp11)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H35 zenon_Hfc zenon_H41 zenon_H275 zenon_H276 zenon_H277 zenon_H1c9 zenon_Hde zenon_Hdd zenon_Hdc zenon_H31. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfe ]. % 0.77/0.93 apply (zenon_L441_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hdb | zenon_intro zenon_H32 ]. % 0.77/0.93 apply (zenon_L54_); trivial. % 0.77/0.93 exact (zenon_H31 zenon_H32). % 0.77/0.93 (* end of lemma zenon_L442_ *) % 0.77/0.93 assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfc zenon_H31 zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H7c zenon_He5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L55_); trivial. % 0.77/0.93 apply (zenon_L442_); trivial. % 0.77/0.93 (* end of lemma zenon_L443_ *) % 0.77/0.93 assert (zenon_L444_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp3)) -> ((hskp29)\/((hskp5)\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hd0 zenon_H80 zenon_H64 zenon_H7e zenon_H7c zenon_H8 zenon_H41 zenon_H43 zenon_H6d zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H22 zenon_H1c9 zenon_H277 zenon_H276 zenon_H275 zenon_H31 zenon_Hfc zenon_H3b zenon_H3e. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.93 apply (zenon_L36_); trivial. % 0.77/0.93 apply (zenon_L443_); trivial. % 0.77/0.93 apply (zenon_L59_); trivial. % 0.77/0.93 (* end of lemma zenon_L444_ *) % 0.77/0.93 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H12a zenon_H191 zenon_H297 zenon_H296 zenon_H295 zenon_H276 zenon_H275 zenon_H277 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H23. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H160 | zenon_intro zenon_H194 ]. % 0.77/0.93 apply (zenon_L318_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H94 | zenon_intro zenon_H24 ]. % 0.77/0.93 apply (zenon_L300_); trivial. % 0.77/0.93 exact (zenon_H23 zenon_H24). % 0.77/0.93 (* end of lemma zenon_L445_ *) % 0.77/0.93 assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H35 zenon_H12d zenon_H191 zenon_H276 zenon_H275 zenon_H277 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H212 zenon_H208. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L292_); trivial. % 0.77/0.93 apply (zenon_L445_); trivial. % 0.77/0.93 (* end of lemma zenon_L446_ *) % 0.77/0.93 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2070)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H252 zenon_H3b zenon_H191 zenon_H276 zenon_H275 zenon_H277 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H1d3 zenon_H212 zenon_H208 zenon_H80 zenon_Hcc zenon_H11b zenon_H23 zenon_H22 zenon_H8 zenon_H88 zenon_H6d zenon_H11f zenon_H12d zenon_Hcf zenon_H152 zenon_H3 zenon_Hb5 zenon_Hcd zenon_H3e. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L80_); trivial. % 0.77/0.93 apply (zenon_L446_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L298_); trivial. % 0.77/0.93 apply (zenon_L446_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 (* end of lemma zenon_L447_ *) % 0.77/0.93 assert (zenon_L448_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_Hc1 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_L363_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 (* end of lemma zenon_L448_ *) % 0.77/0.93 assert (zenon_L449_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (c2_1 (a2087)) -> (~(c3_1 (a2087))) -> (~(c1_1 (a2087))) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2076)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hd0 zenon_H80 zenon_He5 zenon_Hde zenon_Hdd zenon_Hdc zenon_H1a7 zenon_H1a6 zenon_H1a8 zenon_H7c zenon_H7e zenon_H6d zenon_H22 zenon_H1c9 zenon_H41 zenon_H277 zenon_H276 zenon_H275 zenon_H31 zenon_Hfc zenon_H3b zenon_H3e. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.93 apply (zenon_L330_); trivial. % 0.77/0.93 apply (zenon_L443_); trivial. % 0.77/0.93 apply (zenon_L59_); trivial. % 0.77/0.93 (* end of lemma zenon_L449_ *) % 0.77/0.93 assert (zenon_L450_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H252 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_Hb5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.77/0.93 apply (zenon_L285_); trivial. % 0.77/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.93 (* end of lemma zenon_L450_ *) % 0.77/0.93 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp26)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H205 zenon_H212 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252 zenon_H11d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_Hf. zenon_intro zenon_H206. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H1fa. zenon_intro zenon_H207. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1fb. zenon_intro zenon_H1fc. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.77/0.93 apply (zenon_L450_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.77/0.93 apply (zenon_L148_); trivial. % 0.77/0.93 exact (zenon_H11d zenon_H11e). % 0.77/0.93 (* end of lemma zenon_L451_ *) % 0.77/0.93 assert (zenon_L452_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a2140)) -> (c3_1 (a2140)) -> (~(c0_1 (a2140))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H208 zenon_H212 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H1d3 zenon_H11d zenon_H29 zenon_H2a zenon_H28 zenon_H48 zenon_H47 zenon_H46 zenon_Hf zenon_H23 zenon_H266. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H205 ]. % 0.77/0.93 apply (zenon_L291_); trivial. % 0.77/0.93 apply (zenon_L451_); trivial. % 0.77/0.93 (* end of lemma zenon_L452_ *) % 0.77/0.93 assert (zenon_L453_ : ((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H35 zenon_H12d zenon_H191 zenon_H62 zenon_H297 zenon_H296 zenon_H295 zenon_H266 zenon_H23 zenon_H46 zenon_H47 zenon_H48 zenon_H1d3 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H212 zenon_H208. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L452_); trivial. % 0.77/0.93 apply (zenon_L445_); trivial. % 0.77/0.93 (* end of lemma zenon_L453_ *) % 0.77/0.93 assert (zenon_L454_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2093))) -> (~(c3_1 (a2093))) -> (c0_1 (a2093)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a2116))) -> (c1_1 (a2116)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (ndr1_0) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_Hb5 zenon_H46 zenon_H47 zenon_H48 zenon_H62 zenon_H11 zenon_H14 zenon_H20 zenon_H22 zenon_Hf zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L341_); trivial. % 0.77/0.93 apply (zenon_L296_); trivial. % 0.77/0.93 (* end of lemma zenon_L454_ *) % 0.77/0.93 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc8 zenon_Hd0 zenon_H3b zenon_H12d zenon_H191 zenon_H62 zenon_H266 zenon_H1d3 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H212 zenon_H208 zenon_H6d zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H22 zenon_H23 zenon_H11b zenon_Hcc zenon_H80 zenon_Hcd zenon_H3e. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H6b | zenon_intro zenon_H81 ]. % 0.77/0.93 apply (zenon_L31_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_Hf. zenon_intro zenon_H82. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H72. zenon_intro zenon_H83. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L341_); trivial. % 0.77/0.93 apply (zenon_L72_); trivial. % 0.77/0.93 apply (zenon_L453_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L454_); trivial. % 0.77/0.93 apply (zenon_L453_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 (* end of lemma zenon_L455_ *) % 0.77/0.93 assert (zenon_L456_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp26)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_Hf zenon_H23f zenon_H240 zenon_H20 zenon_H22 zenon_H11d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.77/0.93 apply (zenon_L200_); trivial. % 0.77/0.93 exact (zenon_H11d zenon_H11e). % 0.77/0.93 (* end of lemma zenon_L456_ *) % 0.77/0.93 assert (zenon_L457_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(hskp26)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H212 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252 zenon_H240 zenon_H23f zenon_Hf zenon_H10 zenon_H11d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.77/0.93 apply (zenon_L450_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.77/0.93 apply (zenon_L199_); trivial. % 0.77/0.93 exact (zenon_H11d zenon_H11e). % 0.77/0.93 (* end of lemma zenon_L457_ *) % 0.77/0.93 assert (zenon_L458_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (~(hskp26)) -> (ndr1_0) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp9)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcd zenon_H22 zenon_H20 zenon_H11d zenon_Hf zenon_H23f zenon_H240 zenon_H252 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H277 zenon_H276 zenon_H275 zenon_H212 zenon_Hb5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8a | zenon_intro zenon_Hd7 ]. % 0.77/0.93 apply (zenon_L456_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H10 | zenon_intro zenon_Hb6 ]. % 0.77/0.93 apply (zenon_L457_); trivial. % 0.77/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.93 (* end of lemma zenon_L458_ *) % 0.77/0.93 assert (zenon_L459_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (ndr1_0) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hd0 zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hf zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L458_); trivial. % 0.77/0.93 apply (zenon_L345_); trivial. % 0.77/0.93 apply (zenon_L350_); trivial. % 0.77/0.93 apply (zenon_L287_); trivial. % 0.77/0.93 (* end of lemma zenon_L459_ *) % 0.77/0.93 assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp28)\/(hskp4))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2075))/\((c1_1 (a2075))/\(c2_1 (a2075)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c2_1 X35)\/(~(c3_1 X35))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc8 zenon_H3b zenon_H266 zenon_H1d3 zenon_H208 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H62 zenon_H23 zenon_H191 zenon_H12d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L458_); trivial. % 0.77/0.93 apply (zenon_L445_); trivial. % 0.77/0.93 apply (zenon_L453_); trivial. % 0.77/0.93 (* end of lemma zenon_L460_ *) % 0.77/0.93 assert (zenon_L461_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H3b zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H212 zenon_H69 zenon_Hc1 zenon_H235 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L219_); trivial. % 0.77/0.93 apply (zenon_L350_); trivial. % 0.77/0.93 (* end of lemma zenon_L461_ *) % 0.77/0.93 assert (zenon_L462_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp26)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H11d zenon_H22 zenon_H20 zenon_H240 zenon_H23f zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hf zenon_H17f zenon_H180 zenon_H181. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ]. % 0.77/0.93 apply (zenon_L104_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ]. % 0.77/0.93 apply (zenon_L456_); trivial. % 0.77/0.93 apply (zenon_L100_); trivial. % 0.77/0.93 (* end of lemma zenon_L462_ *) % 0.77/0.93 assert (zenon_L463_ : ((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H18a zenon_H3b zenon_H153 zenon_H23b zenon_H69 zenon_H235 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H198 zenon_H197 zenon_H196 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H12d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L462_); trivial. % 0.77/0.93 apply (zenon_L345_); trivial. % 0.77/0.93 apply (zenon_L350_); trivial. % 0.77/0.93 (* end of lemma zenon_L463_ *) % 0.77/0.93 assert (zenon_L464_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(hskp10)) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H235 zenon_Hc1 zenon_H69 zenon_H212 zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H153 zenon_H3b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.93 apply (zenon_L461_); trivial. % 0.77/0.93 apply (zenon_L463_); trivial. % 0.77/0.93 (* end of lemma zenon_L464_ *) % 0.77/0.93 assert (zenon_L465_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V)))))) -> (~(c0_1 (a2076))) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H256 zenon_H1a8 zenon_H1a7 zenon_H8a zenon_H1a6 zenon_H108 zenon_H107 zenon_H106 zenon_Hf zenon_H84. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H27 | zenon_intro zenon_H257 ]. % 0.77/0.93 apply (zenon_L405_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H165 | zenon_intro zenon_H85 ]. % 0.77/0.93 apply (zenon_L125_); trivial. % 0.77/0.93 exact (zenon_H84 zenon_H85). % 0.77/0.93 (* end of lemma zenon_L465_ *) % 0.77/0.93 assert (zenon_L466_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp27)) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H84 zenon_H106 zenon_H107 zenon_H108 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H256 zenon_Hf zenon_H17f zenon_H180 zenon_H181. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ]. % 0.77/0.93 apply (zenon_L104_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ]. % 0.77/0.93 apply (zenon_L465_); trivial. % 0.77/0.93 apply (zenon_L100_); trivial. % 0.77/0.93 (* end of lemma zenon_L466_ *) % 0.77/0.93 assert (zenon_L467_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (c0_1 (a2093)) -> (~(c3_1 (a2093))) -> (~(c1_1 (a2093))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H1d3 zenon_H48 zenon_H47 zenon_H46 zenon_H256 zenon_H62 zenon_Hcc zenon_H12d zenon_H3b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.93 apply (zenon_L222_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.93 apply (zenon_L126_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_Hf. zenon_intro zenon_H12b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H121. zenon_intro zenon_H12c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H122. zenon_intro zenon_H123. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.93 apply (zenon_L466_); trivial. % 0.77/0.93 apply (zenon_L166_); trivial. % 0.77/0.93 (* end of lemma zenon_L467_ *) % 0.77/0.93 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc8 zenon_H1a4 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.93 apply (zenon_L223_); trivial. % 0.77/0.93 apply (zenon_L467_); trivial. % 0.77/0.93 (* end of lemma zenon_L468_ *) % 0.77/0.93 assert (zenon_L469_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(hskp10)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> (~(c3_1 (a2079))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hcb zenon_H62 zenon_H1d3 zenon_H1a4 zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H3b zenon_H153 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H212 zenon_Hc1 zenon_H235 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H175 zenon_H176 zenon_H177 zenon_H18b zenon_H190 zenon_H225 zenon_H2c2 zenon_H3 zenon_H152 zenon_H256 zenon_Hc4 zenon_Hcc zenon_H22f zenon_H1a5 zenon_Hd0. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.93 apply (zenon_L461_); trivial. % 0.77/0.93 apply (zenon_L102_); trivial. % 0.77/0.93 apply (zenon_L464_); trivial. % 0.77/0.93 apply (zenon_L356_); trivial. % 0.77/0.93 apply (zenon_L468_); trivial. % 0.77/0.93 (* end of lemma zenon_L469_ *) % 0.77/0.93 assert (zenon_L470_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1a4 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H3b zenon_H12d zenon_Hcc zenon_H62 zenon_H256 zenon_H1d3 zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H163 zenon_H18b zenon_H190 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.93 apply (zenon_L107_); trivial. % 0.77/0.93 apply (zenon_L468_); trivial. % 0.77/0.93 (* end of lemma zenon_L470_ *) % 0.77/0.93 assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((c3_1 X16)\/(~(c1_1 X16)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a2079))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hfc zenon_Hd0 zenon_H1a5 zenon_H22f zenon_Hcc zenon_Hc4 zenon_H256 zenon_H152 zenon_H3 zenon_H2c2 zenon_H225 zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H235 zenon_H212 zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H153 zenon_H3b zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H1a4 zenon_H1d3 zenon_H62 zenon_Hcb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.93 apply (zenon_L469_); trivial. % 0.77/0.93 apply (zenon_L470_); trivial. % 0.77/0.93 (* end of lemma zenon_L471_ *) % 0.77/0.93 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H3a zenon_H3b zenon_Hfc zenon_H31 zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.93 apply (zenon_L119_); trivial. % 0.77/0.93 apply (zenon_L442_); trivial. % 0.77/0.93 (* end of lemma zenon_L472_ *) % 0.77/0.93 assert (zenon_L473_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 (* end of lemma zenon_L473_ *) % 0.77/0.94 assert (zenon_L474_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a2076)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H1cf zenon_H3e zenon_H3b zenon_Hfc zenon_H275 zenon_H276 zenon_H277 zenon_H41 zenon_H1c9 zenon_H22 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H6d zenon_H7e zenon_H7c zenon_H1a8 zenon_H1a6 zenon_H1a7 zenon_He5 zenon_H80 zenon_Hb5 zenon_H252 zenon_Hd0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.94 apply (zenon_L330_); trivial. % 0.77/0.94 apply (zenon_L472_); trivial. % 0.77/0.94 apply (zenon_L287_); trivial. % 0.77/0.94 apply (zenon_L123_); trivial. % 0.77/0.94 (* end of lemma zenon_L474_ *) % 0.77/0.94 assert (zenon_L475_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 (* end of lemma zenon_L475_ *) % 0.77/0.94 assert (zenon_L476_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp3))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H1c9 zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_Hfc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_Hcb zenon_H114. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L475_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 (* end of lemma zenon_L476_ *) % 0.77/0.94 assert (zenon_L477_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_Hcb zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 (* end of lemma zenon_L477_ *) % 0.77/0.94 assert (zenon_L478_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 (* end of lemma zenon_L478_ *) % 0.77/0.94 assert (zenon_L479_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_H22 zenon_Hc4 zenon_H256 zenon_H225 zenon_H3b zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H23 zenon_H209 zenon_H114. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L478_); trivial. % 0.77/0.94 apply (zenon_L372_); trivial. % 0.77/0.94 (* end of lemma zenon_L479_ *) % 0.77/0.94 assert (zenon_L480_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 (* end of lemma zenon_L480_ *) % 0.77/0.94 assert (zenon_L481_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_H209 zenon_H23 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 (* end of lemma zenon_L481_ *) % 0.77/0.94 assert (zenon_L482_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a2099))/\((~(c2_1 (a2099)))/\(~(c3_1 (a2099))))))) -> ((~(hskp16))\/((ndr1_0)/\((c3_1 (a2104))/\((~(c0_1 (a2104)))/\(~(c1_1 (a2104))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c3_1 X12))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c2_1 X67)\/((c3_1 X67)\/(~(c0_1 X67))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((hskp7)\/(hskp15))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H115 zenon_H234 zenon_H1a5 zenon_H2bd zenon_Hc4 zenon_H256 zenon_H225 zenon_H218 zenon_H1d3 zenon_H12d zenon_Hcb zenon_Hd0 zenon_H252 zenon_H277 zenon_H276 zenon_H275 zenon_H235 zenon_H2bb zenon_H214 zenon_H297 zenon_H296 zenon_H295 zenon_H23b zenon_H2ad zenon_Hcc zenon_H153 zenon_Hff zenon_H3e zenon_H80 zenon_H7e zenon_H7c zenon_H22 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_Hfb zenon_H3b zenon_H3 zenon_H5 zenon_He5 zenon_H114. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L233_); trivial. % 0.77/0.94 apply (zenon_L389_); trivial. % 0.77/0.94 (* end of lemma zenon_L482_ *) % 0.77/0.94 assert (zenon_L483_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> (~(hskp5)) -> ((hskp27)\/((hskp23)\/(hskp5))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2149))/\((c3_1 (a2149))/\(~(c1_1 (a2149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp26)\/(hskp5))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_Hff zenon_H3b zenon_H20d zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H26f zenon_H22 zenon_Hfb zenon_H64 zenon_H3 zenon_H5 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H297 zenon_H296 zenon_H295 zenon_H8 zenon_H88 zenon_H235 zenon_Hc4 zenon_Hcf zenon_H12d zenon_H11f zenon_H62 zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L393_); trivial. % 0.77/0.94 (* end of lemma zenon_L483_ *) % 0.77/0.94 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c1_1 (a2087))) -> (~(c3_1 (a2087))) -> (c2_1 (a2087)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H100 zenon_Hfb zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_Hdc zenon_Hdd zenon_Hde zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_Hb5 zenon_H275 zenon_H276 zenon_H277 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H252. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.94 apply (zenon_L226_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.94 apply (zenon_L450_); trivial. % 0.77/0.94 apply (zenon_L57_); trivial. % 0.77/0.94 (* end of lemma zenon_L484_ *) % 0.77/0.94 assert (zenon_L485_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_Hff zenon_Hfb zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.77/0.94 apply (zenon_L3_); trivial. % 0.77/0.94 apply (zenon_L484_); trivial. % 0.77/0.94 (* end of lemma zenon_L485_ *) % 0.77/0.94 assert (zenon_L486_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((hskp27)\/(hskp7))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_Hff zenon_Hfb zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5 zenon_H153 zenon_Hcc zenon_H2ad zenon_H23b zenon_H295 zenon_H296 zenon_H297 zenon_H214 zenon_H2bb zenon_H235 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L485_); trivial. % 0.77/0.94 (* end of lemma zenon_L486_ *) % 0.77/0.94 assert (zenon_L487_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a2110))/\((c2_1 (a2110))/\(~(c1_1 (a2110))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> ((hskp17)\/(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_Hff zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H3 zenon_H5 zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L485_); trivial. % 0.77/0.94 (* end of lemma zenon_L487_ *) % 0.77/0.94 assert (zenon_L488_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H116 zenon_H114 zenon_H1cf zenon_H41 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc zenon_H3b zenon_H12d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_H256 zenon_Hc4 zenon_H295 zenon_H296 zenon_H297 zenon_H22 zenon_H2ad zenon_Hcc zenon_Hcb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L414_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 (* end of lemma zenon_L488_ *) % 0.77/0.94 assert (zenon_L489_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (~(c3_1 (a2071))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp27)\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a2077))/\((c2_1 (a2077))/\(c3_1 (a2077)))))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_Hd0 zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_H80 zenon_Hcc zenon_H23b zenon_H259 zenon_H258 zenon_H25a zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_He5 zenon_H7c zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H2d2 zenon_H7e zenon_H64 zenon_H6d zenon_H1c5 zenon_H3e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.94 apply (zenon_L409_); trivial. % 0.77/0.94 apply (zenon_L287_); trivial. % 0.77/0.94 (* end of lemma zenon_L489_ *) % 0.77/0.94 assert (zenon_L490_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2084))) -> (c2_1 (a2084)) -> (c3_1 (a2084)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> (~(hskp20)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3b zenon_H12d zenon_H2ad zenon_Hc1 zenon_H297 zenon_H296 zenon_H295 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H212 zenon_Hf zenon_H106 zenon_H107 zenon_H108 zenon_H22 zenon_H240 zenon_H23f zenon_H15d zenon_H163. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L219_); trivial. % 0.77/0.94 apply (zenon_L413_); trivial. % 0.77/0.94 (* end of lemma zenon_L490_ *) % 0.77/0.94 assert (zenon_L491_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a2097))) -> (~(c1_1 (a2097))) -> (~(c0_1 (a2097))) -> (~(hskp26)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a2130))) -> (~(c2_1 (a2130))) -> (~(c3_1 (a2130))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H254 zenon_H198 zenon_H197 zenon_H196 zenon_H11d zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H108 zenon_H107 zenon_H106 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H212 zenon_Hf zenon_H17f zenon_H180 zenon_H181. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H195 | zenon_intro zenon_H255 ]. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H8a | zenon_intro zenon_H17e ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H27 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L405_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H159 | zenon_intro zenon_H11e ]. % 0.77/0.94 apply (zenon_L411_); trivial. % 0.77/0.94 exact (zenon_H11d zenon_H11e). % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 (* end of lemma zenon_L491_ *) % 0.77/0.94 assert (zenon_L492_ : ((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2084)) -> (c2_1 (a2084)) -> (~(c1_1 (a2084))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1a1 zenon_H190 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H254 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H108 zenon_H107 zenon_H106 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H295 zenon_H296 zenon_H297 zenon_Hc1 zenon_H2ad zenon_H12d zenon_H3b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hf. zenon_intro zenon_H1a2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H196. zenon_intro zenon_H1a3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H198. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.94 apply (zenon_L490_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H17f. zenon_intro zenon_H18d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H180. zenon_intro zenon_H181. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_L491_); trivial. % 0.77/0.94 apply (zenon_L345_); trivial. % 0.77/0.94 (* end of lemma zenon_L492_ *) % 0.77/0.94 assert (zenon_L493_ : ((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> (c2_1 (a2082)) -> (c1_1 (a2082)) -> (~(c0_1 (a2082))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H116 zenon_H114 zenon_Hcb zenon_Hcc zenon_H62 zenon_H256 zenon_Hfc zenon_H190 zenon_H18b zenon_H177 zenon_H176 zenon_H175 zenon_H163 zenon_H23f zenon_H240 zenon_H22 zenon_H212 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_H3b zenon_H254 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.94 apply (zenon_L490_); trivial. % 0.77/0.94 apply (zenon_L102_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L470_); trivial. % 0.77/0.94 (* end of lemma zenon_L493_ *) % 0.77/0.94 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> (~(hskp3)) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_Hcc zenon_H62 zenon_H256 zenon_H190 zenon_H18b zenon_H163 zenon_H258 zenon_H259 zenon_H25a zenon_H1d3 zenon_H254 zenon_H1a4 zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_Hfc zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H41 zenon_H1cf zenon_Hcb zenon_H114. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L477_); trivial. % 0.77/0.94 apply (zenon_L493_); trivial. % 0.77/0.94 (* end of lemma zenon_L494_ *) % 0.77/0.94 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a2079))/\((c1_1 (a2079))/\(~(c3_1 (a2079)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> (~(c3_1 (a2071))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp11)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2cc zenon_H115 zenon_H1d3 zenon_H25a zenon_H259 zenon_H258 zenon_H256 zenon_Hc4 zenon_Hcc zenon_Hcb zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_H1dd zenon_H1de zenon_H1e6 zenon_H23 zenon_H209 zenon_H114. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L481_); trivial. % 0.77/0.94 apply (zenon_L415_); trivial. % 0.77/0.94 (* end of lemma zenon_L495_ *) % 0.77/0.94 assert (zenon_L496_ : ((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> (~(c2_1 (a2074))) -> (c1_1 (a2074)) -> (c3_1 (a2074)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a2082))) -> (c1_1 (a2082)) -> (c2_1 (a2082)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H12d zenon_Hcc zenon_H62 zenon_H20d zenon_Hfb zenon_H258 zenon_H259 zenon_H212 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1b0 zenon_H1b1 zenon_H1bc zenon_H1c5 zenon_H275 zenon_H276 zenon_H277 zenon_Hb5 zenon_H252 zenon_H175 zenon_H176 zenon_H177 zenon_Hfc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H8a | zenon_intro zenon_H253 ]. % 0.77/0.94 apply (zenon_L436_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1cb | zenon_intro zenon_Hb6 ]. % 0.77/0.94 apply (zenon_L285_); trivial. % 0.77/0.94 exact (zenon_Hb5 zenon_Hb6). % 0.77/0.94 apply (zenon_L395_); trivial. % 0.77/0.94 (* end of lemma zenon_L496_ *) % 0.77/0.94 assert (zenon_L497_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a2172))/\((~(c0_1 (a2172)))/\(~(c3_1 (a2172))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((c3_1 X32)\/(~(c1_1 X32))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c1_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a2071))) -> (c0_1 (a2071)) -> (c2_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> (~(c0_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c3_1 (a2072))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((hskp12)\/((hskp25)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a2116))/\((~(c2_1 (a2116)))/\(~(c3_1 (a2116))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a2070)) -> (c0_1 (a2070)) -> (~(c2_1 (a2070))) -> (ndr1_0) -> (~(c0_1 (a2076))) -> (c1_1 (a2076)) -> (c3_1 (a2076)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c1_1 (a2079)) -> (c0_1 (a2079)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (~(c0_1 (a2068))) -> (~(c2_1 (a2068))) -> (c3_1 (a2068)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H114 zenon_H80 zenon_Hcc zenon_He5 zenon_H7e zenon_H7c zenon_H25a zenon_H258 zenon_H259 zenon_Hfb zenon_H1dd zenon_H1de zenon_H1e6 zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H20d zenon_H6d zenon_H3e zenon_H3b zenon_H153 zenon_H23b zenon_H235 zenon_Hcd zenon_H252 zenon_Hb5 zenon_H277 zenon_H276 zenon_H275 zenon_Hf zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22 zenon_H240 zenon_H23f zenon_H212 zenon_H295 zenon_H296 zenon_H297 zenon_H2ad zenon_H12d zenon_Hd0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L429_); trivial. % 0.77/0.94 (* end of lemma zenon_L497_ *) % 0.77/0.94 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a2082))/\((c2_1 (a2082))/\(~(c0_1 (a2082)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2084))/\((c3_1 (a2084))/\(~(c1_1 (a2084))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a2130)))/\((~(c2_1 (a2130)))/\(~(c3_1 (a2130))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp20))) -> (~(c3_1 (a2071))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a2097)))/\((~(c1_1 (a2097)))/\(~(c2_1 (a2097))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a2095))/\((~(c0_1 (a2095)))/\(~(c2_1 (a2095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2069))/\((c2_1 (a2069))/\(c3_1 (a2069)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c3_1 X31))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp10))) -> (c3_1 (a2068)) -> (~(c2_1 (a2068))) -> (~(c0_1 (a2068))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp26))) -> (c0_1 (a2079)) -> (c1_1 (a2079)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp22)) -> (c3_1 (a2076)) -> (c1_1 (a2076)) -> (~(c0_1 (a2076))) -> (~(c2_1 (a2070))) -> (c0_1 (a2070)) -> (c3_1 (a2070)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c1_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X105 : zenon_U, ((ndr1_0)->((c3_1 X105)\/((~(c1_1 X105))\/(~(c2_1 X105))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a2160))/\((c2_1 (a2160))/\(~(c3_1 (a2160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2140))/\((c3_1 (a2140))/\(~(c0_1 (a2140))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((~(c1_1 X44))\/(~(c2_1 X44))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(c3_1 X19)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2074)) -> (c1_1 (a2074)) -> (~(c2_1 (a2074))) -> (~(c3_1 (a2072))) -> (~(c1_1 (a2072))) -> (~(c0_1 (a2072))) -> (c2_1 (a2071)) -> (c0_1 (a2071)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/(hskp27))) -> ((forall X80 : zenon_U, ((ndr1_0)->((c1_1 X80)\/((c3_1 X80)\/(~(c0_1 X80))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a2073))/\((c1_1 (a2073))/\(c3_1 (a2073)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2093))/\((~(c1_1 (a2093)))/\(~(c3_1 (a2093))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a2087))/\((~(c1_1 (a2087)))/\(~(c3_1 (a2087))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1d7 zenon_H115 zenon_H256 zenon_H190 zenon_H18b zenon_H163 zenon_H25a zenon_H1d3 zenon_H254 zenon_H1a4 zenon_Hd0 zenon_H12d zenon_H2ad zenon_H297 zenon_H296 zenon_H295 zenon_H212 zenon_H23f zenon_H240 zenon_H22 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H275 zenon_H276 zenon_H277 zenon_H252 zenon_Hcd zenon_H235 zenon_H23b zenon_H153 zenon_H3b zenon_Hfc zenon_H1c5 zenon_H1bc zenon_H1b1 zenon_H1b0 zenon_H1e6 zenon_H1de zenon_H1dd zenon_H259 zenon_H258 zenon_Hfb zenon_H20d zenon_H62 zenon_Hcc zenon_Hcb zenon_H114. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L496_); trivial. % 0.77/0.94 apply (zenon_L493_); trivial. % 0.77/0.94 (* end of lemma zenon_L498_ *) % 0.77/0.94 apply NNPP. intro zenon_G. % 0.77/0.94 apply zenon_G. zenon_intro zenon_H2d4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H290. zenon_intro zenon_H2df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2cd. zenon_intro zenon_H2e4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H115. zenon_intro zenon_H2e5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H114. zenon_intro zenon_H2e6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_Hcb. zenon_intro zenon_H2e7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_Hd0. zenon_intro zenon_H2e8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1a4. zenon_intro zenon_H2eb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H234. zenon_intro zenon_H2ec. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H1a5. zenon_intro zenon_H2ed. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_Hff. zenon_intro zenon_H2ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H3e. zenon_intro zenon_H2ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H190. zenon_intro zenon_H2f2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H3b. zenon_intro zenon_H2f5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_Hcf. zenon_intro zenon_H2f6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H153. zenon_intro zenon_H2f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H80. zenon_intro zenon_H2f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H12d. zenon_intro zenon_H2f9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hcc. zenon_intro zenon_H2fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H208. zenon_intro zenon_H2fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H64. zenon_intro zenon_H2fc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H254. zenon_intro zenon_H2fd. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H1ed. zenon_intro zenon_H2fe. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H1eb. zenon_intro zenon_H2ff. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H19f. zenon_intro zenon_H300. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H20d. zenon_intro zenon_H301. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H209. zenon_intro zenon_H302. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1f5. zenon_intro zenon_H303. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hfb. zenon_intro zenon_H304. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H26f. zenon_intro zenon_H305. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H307. zenon_intro zenon_H306. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H22f. zenon_intro zenon_H308. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H2bd. zenon_intro zenon_H309. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1c5. zenon_intro zenon_H30a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H25. zenon_intro zenon_H30b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_He5. zenon_intro zenon_H30c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H152. zenon_intro zenon_H30d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Hcd. zenon_intro zenon_H30e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H252. zenon_intro zenon_H30f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2b9. zenon_intro zenon_H310. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H191. zenon_intro zenon_H311. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H2ad. zenon_intro zenon_H312. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H2bb. zenon_intro zenon_H313. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H11b. zenon_intro zenon_H314. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H7e. zenon_intro zenon_H315. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H18b. zenon_intro zenon_H320. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_Hfc. zenon_intro zenon_H321. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H289. zenon_intro zenon_H322. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H28d. zenon_intro zenon_H323. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H266. zenon_intro zenon_H324. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H65. zenon_intro zenon_H325. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H256. zenon_intro zenon_H326. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H225. zenon_intro zenon_H327. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H212. zenon_intro zenon_H328. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2d2. zenon_intro zenon_H329. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H36. zenon_intro zenon_H32a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2ca. zenon_intro zenon_H32b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H136. zenon_intro zenon_H32c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H151. zenon_intro zenon_H32d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_Hce. zenon_intro zenon_H32e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H21a. zenon_intro zenon_H32f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1d3. zenon_intro zenon_H330. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H1cf. zenon_intro zenon_H331. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H62. zenon_intro zenon_H332. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Ha5. zenon_intro zenon_H333. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H2b7. zenon_intro zenon_H336. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H338. zenon_intro zenon_H337. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H11f. zenon_intro zenon_H339. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_Hc4. zenon_intro zenon_H33a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1c9. zenon_intro zenon_H33b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H163. zenon_intro zenon_H33c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H218. zenon_intro zenon_H33d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H203. zenon_intro zenon_H33e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H1c1. zenon_intro zenon_H33f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H23b. zenon_intro zenon_H340. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H342. zenon_intro zenon_H341. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H344. zenon_intro zenon_H343. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H22. zenon_intro zenon_H345. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H293. zenon_intro zenon_H346. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H348. zenon_intro zenon_H347. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34c. zenon_intro zenon_H34b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H88. zenon_intro zenon_H34d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H34f. zenon_intro zenon_H34e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H5. zenon_intro zenon_H350. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H26d. zenon_intro zenon_H351. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H130. zenon_intro zenon_H352. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Hc. zenon_intro zenon_H353. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H43. zenon_intro zenon_H354. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H235. zenon_intro zenon_H6d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H33 | zenon_intro zenon_H355 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H356 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L19_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_L28_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L69_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L109_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L67_); trivial. % 0.77/0.94 apply (zenon_L108_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_L111_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L67_); trivial. % 0.77/0.94 apply (zenon_L124_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L133_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_L140_); trivial. % 0.77/0.94 apply (zenon_L143_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L157_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L164_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L169_); trivial. % 0.77/0.94 apply (zenon_L174_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L190_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L157_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L164_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.94 apply (zenon_L210_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hf. zenon_intro zenon_Hd2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_H8d. zenon_intro zenon_Hd3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_H8b. zenon_intro zenon_H8c. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.77/0.94 apply (zenon_L3_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf. zenon_intro zenon_H101. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf3. zenon_intro zenon_H102. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hf4. zenon_intro zenon_Hf2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H15d | zenon_intro zenon_H18a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc3 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L214_); trivial. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 apply (zenon_L102_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L225_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_L234_); trivial. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ]. % 0.77/0.94 apply (zenon_L241_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L52_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L67_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H14f | zenon_intro zenon_H18f ]. % 0.77/0.94 apply (zenon_L247_); trivial. % 0.77/0.94 apply (zenon_L103_); trivial. % 0.77/0.94 apply (zenon_L143_); trivial. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 apply (zenon_L108_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L129_); trivial. % 0.77/0.94 apply (zenon_L256_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H6 | zenon_intro zenon_H359 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L133_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H1 | zenon_intro zenon_H100 ]. % 0.77/0.94 apply (zenon_L258_); trivial. % 0.77/0.94 apply (zenon_L139_); trivial. % 0.77/0.94 apply (zenon_L143_); trivial. % 0.77/0.94 apply (zenon_L268_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_Hf. zenon_intro zenon_H35a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H9e. zenon_intro zenon_H35b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L157_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L275_); trivial. % 0.77/0.94 apply (zenon_L268_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_L284_); trivial. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hf. zenon_intro zenon_H360. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H276. zenon_intro zenon_H361. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H277. zenon_intro zenon_H275. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L288_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H216 | zenon_intro zenon_H231 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.94 apply (zenon_L295_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_Hf. zenon_intro zenon_H3c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H3d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H11. zenon_intro zenon_H13. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L298_); trivial. % 0.77/0.94 apply (zenon_L301_); trivial. % 0.77/0.94 apply (zenon_L310_); trivial. % 0.77/0.94 apply (zenon_L287_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_L313_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L288_); trivial. % 0.77/0.94 apply (zenon_L314_); trivial. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L315_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L312_); trivial. % 0.77/0.94 apply (zenon_L234_); trivial. % 0.77/0.94 apply (zenon_L316_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_L317_); trivial. % 0.77/0.94 apply (zenon_L313_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_L317_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L312_); trivial. % 0.77/0.94 apply (zenon_L284_); trivial. % 0.77/0.94 apply (zenon_L316_); trivial. % 0.77/0.94 apply (zenon_L132_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Hf. zenon_intro zenon_H362. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H297. zenon_intro zenon_H363. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H295. zenon_intro zenon_H296. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H356 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L323_); trivial. % 0.77/0.94 apply (zenon_L324_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L336_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L347_); trivial. % 0.77/0.94 apply (zenon_L349_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L336_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L357_); trivial. % 0.77/0.94 apply (zenon_L349_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L358_); trivial. % 0.77/0.94 apply (zenon_L124_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L360_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L347_); trivial. % 0.77/0.94 apply (zenon_L361_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L360_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L357_); trivial. % 0.77/0.94 apply (zenon_L361_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L371_); trivial. % 0.77/0.94 apply (zenon_L372_); trivial. % 0.77/0.94 apply (zenon_L378_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L384_); trivial. % 0.77/0.94 apply (zenon_L385_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L388_); trivial. % 0.77/0.94 apply (zenon_L385_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L390_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L394_); trivial. % 0.77/0.94 apply (zenon_L398_); trivial. % 0.77/0.94 apply (zenon_L401_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L323_); trivial. % 0.77/0.94 apply (zenon_L403_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L323_); trivial. % 0.77/0.94 apply (zenon_L404_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L358_); trivial. % 0.77/0.94 apply (zenon_L256_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L358_); trivial. % 0.77/0.94 apply (zenon_L410_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_L416_); trivial. % 0.77/0.94 apply (zenon_L418_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L419_); trivial. % 0.77/0.94 apply (zenon_L420_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L377_); trivial. % 0.77/0.94 apply (zenon_L424_); trivial. % 0.77/0.94 apply (zenon_L398_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L425_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L387_); trivial. % 0.77/0.94 apply (zenon_L424_); trivial. % 0.77/0.94 apply (zenon_L426_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L419_); trivial. % 0.77/0.94 apply (zenon_L430_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L373_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H84 | zenon_intro zenon_Hd4 ]. % 0.77/0.94 apply (zenon_L341_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hf. zenon_intro zenon_Hd5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha9. zenon_intro zenon_Hd6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha7. zenon_intro zenon_Ha8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 0.77/0.94 apply (zenon_L136_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf1 ]. % 0.77/0.94 apply (zenon_L14_); trivial. % 0.77/0.94 apply (zenon_L432_); trivial. % 0.77/0.94 apply (zenon_L345_); trivial. % 0.77/0.94 apply (zenon_L375_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_L434_); trivial. % 0.77/0.94 apply (zenon_L395_); trivial. % 0.77/0.94 apply (zenon_L435_); trivial. % 0.77/0.94 apply (zenon_L426_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L383_); trivial. % 0.77/0.94 apply (zenon_L429_); trivial. % 0.77/0.94 apply (zenon_L420_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L387_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hf. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H48. zenon_intro zenon_Hca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H46. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_Hf. zenon_intro zenon_H37. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11d | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_L437_); trivial. % 0.77/0.94 apply (zenon_L395_); trivial. % 0.77/0.94 apply (zenon_L426_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hf. zenon_intro zenon_H360. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H276. zenon_intro zenon_H361. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H277. zenon_intro zenon_H275. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H3 | zenon_intro zenon_H357 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L444_); trivial. % 0.77/0.94 apply (zenon_L447_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_L447_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L449_); trivial. % 0.77/0.94 apply (zenon_L455_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_L455_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L449_); trivial. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_L471_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hf. zenon_intro zenon_H104. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_Hde. zenon_intro zenon_H105. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hdc. zenon_intro zenon_Hdd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H31 | zenon_intro zenon_Hc8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_Ha | zenon_intro zenon_H3a ]. % 0.77/0.94 apply (zenon_L36_); trivial. % 0.77/0.94 apply (zenon_L472_); trivial. % 0.77/0.94 apply (zenon_L59_); trivial. % 0.77/0.94 apply (zenon_L123_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L473_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L474_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_L476_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L474_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L477_); trivial. % 0.77/0.94 apply (zenon_L471_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_L479_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L385_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_L479_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L481_); trivial. % 0.77/0.94 apply (zenon_L385_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_L482_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L483_); trivial. % 0.77/0.94 apply (zenon_L398_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L233_); trivial. % 0.77/0.94 apply (zenon_L399_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L483_); trivial. % 0.77/0.94 apply (zenon_L400_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L486_); trivial. % 0.77/0.94 apply (zenon_L389_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L486_); trivial. % 0.77/0.94 apply (zenon_L398_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L487_); trivial. % 0.77/0.94 apply (zenon_L399_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L487_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hf. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H107. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H108. zenon_intro zenon_H106. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L469_); trivial. % 0.77/0.94 apply (zenon_L397_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Hf. zenon_intro zenon_H35e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H258. zenon_intro zenon_H35f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H259. zenon_intro zenon_H25a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H41 | zenon_intro zenon_H358 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_L317_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L256_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L473_); trivial. % 0.77/0.94 apply (zenon_L488_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L489_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L475_); trivial. % 0.77/0.94 apply (zenon_L488_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L489_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_L494_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1dd. zenon_intro zenon_H35d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1de. zenon_intro zenon_H1e6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H23 | zenon_intro zenon_H28f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L415_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L478_); trivial. % 0.77/0.94 apply (zenon_L415_); trivial. % 0.77/0.94 apply (zenon_L495_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H291. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1b1. zenon_intro zenon_H292. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H1b0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H8 | zenon_intro zenon_H1da ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L283_); trivial. % 0.77/0.94 apply (zenon_L420_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L424_); trivial. % 0.77/0.94 apply (zenon_L426_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Hf. zenon_intro zenon_H1db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1a7. zenon_intro zenon_H1dc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H214 | zenon_intro zenon_H2cc ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L429_); trivial. % 0.77/0.94 apply (zenon_L430_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Hf. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H176. zenon_intro zenon_H1d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H177. zenon_intro zenon_H175. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H103 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L496_); trivial. % 0.77/0.94 apply (zenon_L426_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_Hf. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H23f. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H240. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H116 ]. % 0.77/0.94 apply (zenon_L497_); trivial. % 0.77/0.94 apply (zenon_L430_); trivial. % 0.77/0.94 apply (zenon_L498_); trivial. % 0.77/0.94 Qed. % 0.77/0.94 % SZS output end Proof % 0.77/0.94 (* END-PROOF *) % 0.77/0.94 nodes searched: 36047 % 0.77/0.94 max branch formulas: 493 % 0.77/0.94 proof nodes created: 4804 % 0.77/0.94 formulas created: 45443 % 0.77/0.94 %------------------------------------------------------------------------------