%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN475+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 13:53:18 EDT 2022 % Result : Theorem 0.59s 0.83s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN475+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 18:36:59 EDT 2022 % 0.13/0.34 % CPUTime : % 0.59/0.83 (* PROOF-FOUND *) % 0.59/0.83 % SZS status Theorem % 0.59/0.83 (* BEGIN-PROOF *) % 0.59/0.83 % SZS output start Proof % 0.59/0.83 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1000))/\((c2_1 (a1000))/\(~(c3_1 (a1000)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a1001))/\((c3_1 (a1001))/\(~(c1_1 (a1001)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a1002))/\((c2_1 (a1002))/\(~(c1_1 (a1002)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a1003))/\((~(c0_1 (a1003)))/\(~(c2_1 (a1003)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a1004))/\((c2_1 (a1004))/\(~(c3_1 (a1004)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c1_1 (a1005)))/\((~(c2_1 (a1005)))/\(~(c3_1 (a1005)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a1030))/\((~(c2_1 (a1030)))/\(~(c3_1 (a1030)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a1037)))/\((~(c1_1 (a1037)))/\(~(c3_1 (a1037)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a1044))/\((c1_1 (a1044))/\(~(c3_1 (a1044)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))))/\(((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))\/(hskp3)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp6)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp7)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp9)\/(hskp10)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp7)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp13)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))\/(hskp16)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X72 : zenon_U, ((ndr1_0)->((c3_1 X72)\/((~(c0_1 X72))\/(~(c1_1 X72))))))\/(hskp17)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp19)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80))))))\/(hskp10)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))\/(hskp22)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35))))))))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp23))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp15)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp6)\/(hskp13)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/((hskp23)\/(hskp3)))/\(((forall X102 : zenon_U, ((ndr1_0)->((c2_1 X102)\/((~(c1_1 X102))\/(~(c3_1 X102))))))\/((hskp6)\/(hskp22)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c3_1 X72)\/((~(c0_1 X72))\/(~(c1_1 X72))))))\/((hskp4)\/(hskp19)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17)))/\(((forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80))))))\/((hskp23)\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7))/\(((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3)))/\(((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp26)\/(hskp19)))/\(((hskp29)\/((hskp23)\/(hskp13)))/\(((hskp29)\/((hskp12)\/(hskp5)))/\(((hskp29)\/((hskp3)\/(hskp26)))/\(((hskp23)\/((hskp18)\/(hskp20)))/\(((hskp27)\/((hskp6)\/(hskp14)))/\(((hskp27)\/((hskp7)\/(hskp26)))/\(((hskp22)\/((hskp14)\/(hskp12)))/\(((hskp4)\/((hskp21)\/(hskp7)))/\((hskp24)\/((hskp25)\/(hskp19))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.59/0.83 Proof. % 0.59/0.83 assert (zenon_L1_ : (~(hskp4)) -> (hskp4) -> False). % 0.59/0.83 do 0 intro. intros zenon_H1 zenon_H2. % 0.59/0.83 exact (zenon_H1 zenon_H2). % 0.59/0.83 (* end of lemma zenon_L1_ *) % 0.59/0.83 assert (zenon_L2_ : (~(hskp21)) -> (hskp21) -> False). % 0.59/0.83 do 0 intro. intros zenon_H3 zenon_H4. % 0.59/0.83 exact (zenon_H3 zenon_H4). % 0.59/0.83 (* end of lemma zenon_L2_ *) % 0.59/0.83 assert (zenon_L3_ : (~(hskp7)) -> (hskp7) -> False). % 0.59/0.83 do 0 intro. intros zenon_H5 zenon_H6. % 0.59/0.83 exact (zenon_H5 zenon_H6). % 0.59/0.83 (* end of lemma zenon_L3_ *) % 0.59/0.83 assert (zenon_L4_ : ((hskp4)\/((hskp21)\/(hskp7))) -> (~(hskp4)) -> (~(hskp21)) -> (~(hskp7)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.59/0.83 exact (zenon_H1 zenon_H2). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.59/0.83 exact (zenon_H3 zenon_H4). % 0.59/0.83 exact (zenon_H5 zenon_H6). % 0.59/0.83 (* end of lemma zenon_L4_ *) % 0.59/0.83 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.59/0.83 do 0 intro. intros zenon_H9 zenon_Ha. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 (* end of lemma zenon_L5_ *) % 0.59/0.83 assert (zenon_L6_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a1041))) -> (~(c3_1 (a1041))) -> (c2_1 (a1041)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.59/0.83 generalize (zenon_Hb (a1041)). zenon_intro zenon_Hf. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.59/0.83 exact (zenon_Hc zenon_H12). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.59/0.83 exact (zenon_Hd zenon_H14). % 0.59/0.83 exact (zenon_H13 zenon_He). % 0.59/0.83 (* end of lemma zenon_L6_ *) % 0.59/0.83 assert (zenon_L7_ : (~(hskp2)) -> (hskp2) -> False). % 0.59/0.83 do 0 intro. intros zenon_H15 zenon_H16. % 0.59/0.83 exact (zenon_H15 zenon_H16). % 0.59/0.83 (* end of lemma zenon_L7_ *) % 0.59/0.83 assert (zenon_L8_ : (~(hskp1)) -> (hskp1) -> False). % 0.59/0.83 do 0 intro. intros zenon_H17 zenon_H18. % 0.59/0.83 exact (zenon_H17 zenon_H18). % 0.59/0.83 (* end of lemma zenon_L8_ *) % 0.59/0.83 assert (zenon_L9_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (c2_1 (a1041)) -> (~(c3_1 (a1041))) -> (~(c0_1 (a1041))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.59/0.83 apply (zenon_L6_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.59/0.83 exact (zenon_H15 zenon_H16). % 0.59/0.83 exact (zenon_H17 zenon_H18). % 0.59/0.83 (* end of lemma zenon_L9_ *) % 0.59/0.83 assert (zenon_L10_ : (~(hskp27)) -> (hskp27) -> False). % 0.59/0.83 do 0 intro. intros zenon_H1b zenon_H1c. % 0.59/0.83 exact (zenon_H1b zenon_H1c). % 0.59/0.83 (* end of lemma zenon_L10_ *) % 0.59/0.83 assert (zenon_L11_ : (~(hskp6)) -> (hskp6) -> False). % 0.59/0.83 do 0 intro. intros zenon_H1d zenon_H1e. % 0.59/0.83 exact (zenon_H1d zenon_H1e). % 0.59/0.83 (* end of lemma zenon_L11_ *) % 0.59/0.83 assert (zenon_L12_ : (~(hskp14)) -> (hskp14) -> False). % 0.59/0.83 do 0 intro. intros zenon_H1f zenon_H20. % 0.59/0.83 exact (zenon_H1f zenon_H20). % 0.59/0.83 (* end of lemma zenon_L12_ *) % 0.59/0.83 assert (zenon_L13_ : ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp27)) -> (~(hskp6)) -> (~(hskp14)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H21 zenon_H1b zenon_H1d zenon_H1f. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H1c | zenon_intro zenon_H22 ]. % 0.59/0.83 exact (zenon_H1b zenon_H1c). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.59/0.83 exact (zenon_H1d zenon_H1e). % 0.59/0.83 exact (zenon_H1f zenon_H20). % 0.59/0.83 (* end of lemma zenon_L13_ *) % 0.59/0.83 assert (zenon_L14_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a1029)) -> (c2_1 (a1029)) -> (c3_1 (a1029)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H23 zenon_Ha zenon_H24 zenon_H25 zenon_H26. % 0.59/0.83 generalize (zenon_H23 (a1029)). zenon_intro zenon_H27. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H9 | zenon_intro zenon_H28 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.59/0.83 exact (zenon_H2a zenon_H24). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.59/0.83 exact (zenon_H2c zenon_H25). % 0.59/0.83 exact (zenon_H2b zenon_H26). % 0.59/0.83 (* end of lemma zenon_L14_ *) % 0.59/0.83 assert (zenon_L15_ : (~(hskp24)) -> (hskp24) -> False). % 0.59/0.83 do 0 intro. intros zenon_H2d zenon_H2e. % 0.59/0.83 exact (zenon_H2d zenon_H2e). % 0.59/0.83 (* end of lemma zenon_L15_ *) % 0.59/0.83 assert (zenon_L16_ : (~(hskp3)) -> (hskp3) -> False). % 0.59/0.83 do 0 intro. intros zenon_H2f zenon_H30. % 0.59/0.83 exact (zenon_H2f zenon_H30). % 0.59/0.83 (* end of lemma zenon_L16_ *) % 0.59/0.83 assert (zenon_L17_ : ((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> (~(hskp3)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H31 zenon_H32 zenon_H2d zenon_H2f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H23 | zenon_intro zenon_H35 ]. % 0.59/0.83 apply (zenon_L14_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ]. % 0.59/0.83 exact (zenon_H2d zenon_H2e). % 0.59/0.83 exact (zenon_H2f zenon_H30). % 0.59/0.83 (* end of lemma zenon_L17_ *) % 0.59/0.83 assert (zenon_L18_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp24)) -> (~(hskp6)) -> (~(hskp14)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H36 zenon_H32 zenon_H2f zenon_H2d zenon_H1d zenon_H1f zenon_H21. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.59/0.83 apply (zenon_L13_); trivial. % 0.59/0.83 apply (zenon_L17_); trivial. % 0.59/0.83 (* end of lemma zenon_L18_ *) % 0.59/0.83 assert (zenon_L19_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (c1_1 (a1045)) -> (c3_1 (a1045)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H37 zenon_Ha zenon_H38 zenon_H39 zenon_H3a. % 0.59/0.83 generalize (zenon_H37 (a1045)). zenon_intro zenon_H3b. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H9 | zenon_intro zenon_H3c ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.59/0.83 exact (zenon_H38 zenon_H3e). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.59/0.83 exact (zenon_H40 zenon_H39). % 0.59/0.83 exact (zenon_H3f zenon_H3a). % 0.59/0.83 (* end of lemma zenon_L19_ *) % 0.59/0.83 assert (zenon_L20_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c1_1 (a1045)) -> (c3_1 (a1045)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H41 zenon_Ha zenon_H38 zenon_H42 zenon_H39 zenon_H3a. % 0.59/0.83 generalize (zenon_H41 (a1045)). zenon_intro zenon_H43. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H9 | zenon_intro zenon_H44 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H3e | zenon_intro zenon_H45 ]. % 0.59/0.83 exact (zenon_H38 zenon_H3e). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H46 | zenon_intro zenon_H40 ]. % 0.59/0.83 generalize (zenon_H42 (a1045)). zenon_intro zenon_H47. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H9 | zenon_intro zenon_H48 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H49 ]. % 0.59/0.83 exact (zenon_H40 zenon_H39). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4a | zenon_intro zenon_H3f ]. % 0.59/0.83 exact (zenon_H4a zenon_H46). % 0.59/0.83 exact (zenon_H3f zenon_H3a). % 0.59/0.83 exact (zenon_H40 zenon_H39). % 0.59/0.83 (* end of lemma zenon_L20_ *) % 0.59/0.83 assert (zenon_L21_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a1045))) -> (c1_1 (a1045)) -> (c3_1 (a1045)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H4b zenon_H41 zenon_Ha zenon_H38 zenon_H39 zenon_H3a. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.59/0.83 apply (zenon_L19_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.59/0.83 generalize (zenon_H4d (a1045)). zenon_intro zenon_H4e. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H9 | zenon_intro zenon_H4f ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H3e | zenon_intro zenon_H49 ]. % 0.59/0.83 exact (zenon_H38 zenon_H3e). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4a | zenon_intro zenon_H3f ]. % 0.59/0.83 generalize (zenon_H41 (a1045)). zenon_intro zenon_H43. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H9 | zenon_intro zenon_H44 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H3e | zenon_intro zenon_H45 ]. % 0.59/0.83 exact (zenon_H38 zenon_H3e). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H46 | zenon_intro zenon_H40 ]. % 0.59/0.83 exact (zenon_H4a zenon_H46). % 0.59/0.83 exact (zenon_H40 zenon_H39). % 0.59/0.83 exact (zenon_H3f zenon_H3a). % 0.59/0.83 apply (zenon_L20_); trivial. % 0.59/0.83 (* end of lemma zenon_L21_ *) % 0.59/0.83 assert (zenon_L22_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H50 zenon_Ha zenon_H51 zenon_H52 zenon_H53. % 0.59/0.83 generalize (zenon_H50 (a1008)). zenon_intro zenon_H54. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H9 | zenon_intro zenon_H55 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.59/0.83 exact (zenon_H51 zenon_H57). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.59/0.83 exact (zenon_H52 zenon_H59). % 0.59/0.83 exact (zenon_H58 zenon_H53). % 0.59/0.83 (* end of lemma zenon_L22_ *) % 0.59/0.83 assert (zenon_L23_ : (~(hskp8)) -> (hskp8) -> False). % 0.59/0.83 do 0 intro. intros zenon_H5a zenon_H5b. % 0.59/0.83 exact (zenon_H5a zenon_H5b). % 0.59/0.83 (* end of lemma zenon_L23_ *) % 0.59/0.83 assert (zenon_L24_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (~(hskp8)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H5c zenon_H5d zenon_H4b zenon_H53 zenon_H52 zenon_H51 zenon_H5a. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H41 | zenon_intro zenon_H60 ]. % 0.59/0.83 apply (zenon_L21_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H5b ]. % 0.59/0.83 apply (zenon_L22_); trivial. % 0.59/0.83 exact (zenon_H5a zenon_H5b). % 0.59/0.83 (* end of lemma zenon_L24_ *) % 0.59/0.83 assert (zenon_L25_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1f zenon_H1d zenon_H2f zenon_H32 zenon_H36. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.59/0.83 apply (zenon_L18_); trivial. % 0.59/0.83 apply (zenon_L24_); trivial. % 0.59/0.83 (* end of lemma zenon_L25_ *) % 0.59/0.83 assert (zenon_L26_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H62 zenon_Ha zenon_H63 zenon_H64 zenon_H65. % 0.59/0.83 generalize (zenon_H62 (a1025)). zenon_intro zenon_H66. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.59/0.83 exact (zenon_H63 zenon_H69). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.59/0.83 exact (zenon_H64 zenon_H6b). % 0.59/0.83 exact (zenon_H6a zenon_H65). % 0.59/0.83 (* end of lemma zenon_L26_ *) % 0.59/0.83 assert (zenon_L27_ : (~(hskp25)) -> (hskp25) -> False). % 0.59/0.83 do 0 intro. intros zenon_H6c zenon_H6d. % 0.59/0.83 exact (zenon_H6c zenon_H6d). % 0.59/0.83 (* end of lemma zenon_L27_ *) % 0.59/0.83 assert (zenon_L28_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (c0_1 (a1025)) -> (~(c3_1 (a1025))) -> (~(c2_1 (a1025))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp25)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H6e zenon_H65 zenon_H64 zenon_H63 zenon_Ha zenon_H2f zenon_H6c. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H62 | zenon_intro zenon_H6f ]. % 0.59/0.83 apply (zenon_L26_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H30 | zenon_intro zenon_H6d ]. % 0.59/0.83 exact (zenon_H2f zenon_H30). % 0.59/0.83 exact (zenon_H6c zenon_H6d). % 0.59/0.83 (* end of lemma zenon_L28_ *) % 0.59/0.83 assert (zenon_L29_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a1048))) -> (~(c3_1 (a1048))) -> (c1_1 (a1048)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H70 zenon_Ha zenon_H71 zenon_H72 zenon_H73. % 0.59/0.83 generalize (zenon_H70 (a1048)). zenon_intro zenon_H74. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H9 | zenon_intro zenon_H75 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.59/0.83 exact (zenon_H71 zenon_H77). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.59/0.83 exact (zenon_H72 zenon_H79). % 0.59/0.83 exact (zenon_H78 zenon_H73). % 0.59/0.83 (* end of lemma zenon_L29_ *) % 0.59/0.83 assert (zenon_L30_ : (~(hskp12)) -> (hskp12) -> False). % 0.59/0.83 do 0 intro. intros zenon_H7a zenon_H7b. % 0.59/0.83 exact (zenon_H7a zenon_H7b). % 0.59/0.83 (* end of lemma zenon_L30_ *) % 0.59/0.83 assert (zenon_L31_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> (~(hskp12)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H7c zenon_H7d zenon_H1d zenon_H7a. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H70 | zenon_intro zenon_H80 ]. % 0.59/0.83 apply (zenon_L29_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H1e | zenon_intro zenon_H7b ]. % 0.59/0.83 exact (zenon_H1d zenon_H1e). % 0.59/0.83 exact (zenon_H7a zenon_H7b). % 0.59/0.83 (* end of lemma zenon_L31_ *) % 0.59/0.83 assert (zenon_L32_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H81 zenon_H7d zenon_H7a zenon_H1d zenon_Ha zenon_H63 zenon_H64 zenon_H65 zenon_H2f zenon_H6e. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.59/0.83 apply (zenon_L28_); trivial. % 0.59/0.83 apply (zenon_L31_); trivial. % 0.59/0.83 (* end of lemma zenon_L32_ *) % 0.59/0.83 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H82 zenon_H81 zenon_H7d zenon_H7a zenon_H1d zenon_H2f zenon_H6e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.59/0.83 apply (zenon_L32_); trivial. % 0.59/0.83 (* end of lemma zenon_L33_ *) % 0.59/0.83 assert (zenon_L34_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H85 zenon_H81 zenon_H7d zenon_H7a zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H61. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.59/0.83 apply (zenon_L25_); trivial. % 0.59/0.83 apply (zenon_L33_); trivial. % 0.59/0.83 (* end of lemma zenon_L34_ *) % 0.59/0.83 assert (zenon_L35_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H86 zenon_Ha zenon_H87 zenon_H88 zenon_H89. % 0.59/0.83 generalize (zenon_H86 (a1019)). zenon_intro zenon_H8a. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H9 | zenon_intro zenon_H8b ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 0.59/0.83 exact (zenon_H87 zenon_H8d). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 0.59/0.83 exact (zenon_H8f zenon_H88). % 0.59/0.83 exact (zenon_H8e zenon_H89). % 0.59/0.83 (* end of lemma zenon_L35_ *) % 0.59/0.83 assert (zenon_L36_ : (~(hskp0)) -> (hskp0) -> False). % 0.59/0.83 do 0 intro. intros zenon_H90 zenon_H91. % 0.59/0.83 exact (zenon_H90 zenon_H91). % 0.59/0.83 (* end of lemma zenon_L36_ *) % 0.59/0.83 assert (zenon_L37_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp0)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H5c zenon_H92 zenon_H4b zenon_H89 zenon_H88 zenon_H87 zenon_H90. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H41 | zenon_intro zenon_H93 ]. % 0.59/0.83 apply (zenon_L21_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.59/0.83 apply (zenon_L35_); trivial. % 0.59/0.83 exact (zenon_H90 zenon_H91). % 0.59/0.83 (* end of lemma zenon_L37_ *) % 0.59/0.83 assert (zenon_L38_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H61 zenon_H92 zenon_H90 zenon_H89 zenon_H88 zenon_H87 zenon_H4b zenon_H21 zenon_H1f zenon_H1d zenon_H2f zenon_H32 zenon_H36. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.59/0.83 apply (zenon_L18_); trivial. % 0.59/0.83 apply (zenon_L37_); trivial. % 0.59/0.83 (* end of lemma zenon_L38_ *) % 0.59/0.83 assert (zenon_L39_ : (~(hskp29)) -> (hskp29) -> False). % 0.59/0.83 do 0 intro. intros zenon_H94 zenon_H95. % 0.59/0.83 exact (zenon_H94 zenon_H95). % 0.59/0.83 (* end of lemma zenon_L39_ *) % 0.59/0.83 assert (zenon_L40_ : (~(hskp26)) -> (hskp26) -> False). % 0.59/0.83 do 0 intro. intros zenon_H96 zenon_H97. % 0.59/0.83 exact (zenon_H96 zenon_H97). % 0.59/0.83 (* end of lemma zenon_L40_ *) % 0.59/0.83 assert (zenon_L41_ : ((hskp29)\/((hskp3)\/(hskp26))) -> (~(hskp29)) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H98 zenon_H94 zenon_H2f zenon_H96. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H95 | zenon_intro zenon_H99 ]. % 0.59/0.83 exact (zenon_H94 zenon_H95). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H30 | zenon_intro zenon_H97 ]. % 0.59/0.83 exact (zenon_H2f zenon_H30). % 0.59/0.83 exact (zenon_H96 zenon_H97). % 0.59/0.83 (* end of lemma zenon_L41_ *) % 0.59/0.83 assert (zenon_L42_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a1040)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H23 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H9d. % 0.59/0.83 generalize (zenon_H23 (a1040)). zenon_intro zenon_H9e. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_H9e); [ zenon_intro zenon_H9 | zenon_intro zenon_H9f ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ]. % 0.59/0.83 exact (zenon_Ha1 zenon_H9a). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.59/0.83 generalize (zenon_H9b (a1040)). zenon_intro zenon_Ha4. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha5 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.59/0.83 exact (zenon_Ha3 zenon_Ha7). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha8 ]. % 0.59/0.83 exact (zenon_Ha1 zenon_H9a). % 0.59/0.83 exact (zenon_Ha8 zenon_H9c). % 0.59/0.83 exact (zenon_Ha2 zenon_H9d). % 0.59/0.83 (* end of lemma zenon_L42_ *) % 0.59/0.83 assert (zenon_L43_ : ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))) -> (c0_1 (a1040)) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp3)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H32 zenon_H9d zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H2d zenon_H2f. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H23 | zenon_intro zenon_H35 ]. % 0.59/0.83 apply (zenon_L42_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ]. % 0.59/0.83 exact (zenon_H2d zenon_H2e). % 0.59/0.83 exact (zenon_H2f zenon_H30). % 0.59/0.83 (* end of lemma zenon_L43_ *) % 0.59/0.83 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp8)) -> (~(hskp26)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H2f zenon_H2d zenon_H32 zenon_H5a zenon_H96. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H9b | zenon_intro zenon_Had ]. % 0.59/0.83 apply (zenon_L43_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5b | zenon_intro zenon_H97 ]. % 0.59/0.83 exact (zenon_H5a zenon_H5b). % 0.59/0.83 exact (zenon_H96 zenon_H97). % 0.59/0.83 (* end of lemma zenon_L44_ *) % 0.59/0.83 assert (zenon_L45_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hae zenon_Haa zenon_H5a zenon_H2d zenon_H32 zenon_H2f zenon_H96 zenon_H98. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.59/0.83 apply (zenon_L41_); trivial. % 0.59/0.83 apply (zenon_L44_); trivial. % 0.59/0.83 (* end of lemma zenon_L45_ *) % 0.59/0.83 assert (zenon_L46_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c0_1 (a1052))) -> (c3_1 (a1052)) -> (~(c2_1 (a1052))) -> False). % 0.59/0.83 do 0 intro. intros zenon_Haf zenon_Ha zenon_H37 zenon_Hb0 zenon_Hb1 zenon_Hb2. % 0.59/0.83 generalize (zenon_Haf (a1052)). zenon_intro zenon_Hb3. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hb3); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb4 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 0.59/0.83 generalize (zenon_H37 (a1052)). zenon_intro zenon_Hb7. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb8 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.59/0.83 exact (zenon_Hb0 zenon_Hba). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 0.59/0.83 exact (zenon_Hbc zenon_Hb6). % 0.59/0.83 exact (zenon_Hbb zenon_Hb1). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbb ]. % 0.59/0.83 exact (zenon_Hb2 zenon_Hbd). % 0.59/0.83 exact (zenon_Hbb zenon_Hb1). % 0.59/0.83 (* end of lemma zenon_L46_ *) % 0.59/0.83 assert (zenon_L47_ : (~(hskp13)) -> (hskp13) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hbe zenon_Hbf. % 0.59/0.83 exact (zenon_Hbe zenon_Hbf). % 0.59/0.83 (* end of lemma zenon_L47_ *) % 0.59/0.83 assert (zenon_L48_ : (~(hskp11)) -> (hskp11) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hc0 zenon_Hc1. % 0.59/0.83 exact (zenon_Hc0 zenon_Hc1). % 0.59/0.83 (* end of lemma zenon_L48_ *) % 0.59/0.83 assert (zenon_L49_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c1_1 (a1048)) -> (~(c3_1 (a1048))) -> (~(c0_1 (a1048))) -> (~(hskp13)) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp11)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hc2 zenon_Hc3 zenon_H73 zenon_H72 zenon_H71 zenon_Hbe zenon_H87 zenon_H88 zenon_H89 zenon_Hc4 zenon_Hc0. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H70 | zenon_intro zenon_Hc7 ]. % 0.59/0.83 apply (zenon_L29_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc1 ]. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_H86 | zenon_intro zenon_Hc8 ]. % 0.59/0.83 apply (zenon_L35_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Haf | zenon_intro zenon_Hbf ]. % 0.59/0.83 apply (zenon_L46_); trivial. % 0.59/0.83 exact (zenon_Hbe zenon_Hbf). % 0.59/0.83 exact (zenon_Hc0 zenon_Hc1). % 0.59/0.83 (* end of lemma zenon_L49_ *) % 0.59/0.83 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H82 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H98 zenon_Hc4 zenon_Hbe zenon_H89 zenon_H88 zenon_H87 zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.59/0.83 apply (zenon_L28_); trivial. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.59/0.83 apply (zenon_L45_); trivial. % 0.59/0.83 apply (zenon_L49_); trivial. % 0.59/0.83 apply (zenon_L24_); trivial. % 0.59/0.83 (* end of lemma zenon_L50_ *) % 0.59/0.83 assert (zenon_L51_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_H85 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H6e zenon_Hae zenon_Haa zenon_H5a zenon_H98 zenon_Hc4 zenon_Hbe zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H87 zenon_H88 zenon_H89 zenon_H90 zenon_H92 zenon_H61. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.59/0.83 apply (zenon_L38_); trivial. % 0.59/0.83 apply (zenon_L50_); trivial. % 0.59/0.83 (* end of lemma zenon_L51_ *) % 0.59/0.83 assert (zenon_L52_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a1023))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hca zenon_Ha zenon_Hcb zenon_Hcc zenon_Hcd zenon_Hce. % 0.59/0.83 generalize (zenon_Hca (a1023)). zenon_intro zenon_Hcf. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd0 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.59/0.83 exact (zenon_Hcb zenon_Hd2). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.59/0.83 generalize (zenon_Hcc (a1023)). zenon_intro zenon_Hd5. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd6 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 0.59/0.83 exact (zenon_Hd4 zenon_Hd8). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd9 ]. % 0.59/0.83 exact (zenon_Hcb zenon_Hd2). % 0.59/0.83 exact (zenon_Hcd zenon_Hd9). % 0.59/0.83 exact (zenon_Hd3 zenon_Hce). % 0.59/0.83 (* end of lemma zenon_L52_ *) % 0.59/0.83 assert (zenon_L53_ : (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c0_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hda zenon_H52 zenon_H53. % 0.59/0.83 generalize (zenon_Hb (a1008)). zenon_intro zenon_Hdb. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hdb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdc ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdd | zenon_intro zenon_H56 ]. % 0.59/0.83 exact (zenon_Hda zenon_Hdd). % 0.59/0.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.59/0.83 exact (zenon_H52 zenon_H59). % 0.59/0.83 exact (zenon_H58 zenon_H53). % 0.59/0.83 (* end of lemma zenon_L53_ *) % 0.59/0.83 assert (zenon_L54_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a1008))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (c2_1 (a1008)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hde zenon_Ha zenon_H52 zenon_Hb zenon_H53. % 0.59/0.83 generalize (zenon_Hde (a1008)). zenon_intro zenon_Hdf. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_H9 | zenon_intro zenon_He0 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H59 | zenon_intro zenon_He1 ]. % 0.59/0.83 exact (zenon_H52 zenon_H59). % 0.59/0.83 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hda | zenon_intro zenon_H58 ]. % 0.59/0.83 apply (zenon_L53_); trivial. % 0.59/0.83 exact (zenon_H58 zenon_H53). % 0.59/0.83 (* end of lemma zenon_L54_ *) % 0.59/0.83 assert (zenon_L55_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (c1_1 (a1048)) -> (~(c3_1 (a1048))) -> (~(c0_1 (a1048))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.59/0.83 do 0 intro. intros zenon_He2 zenon_H73 zenon_H72 zenon_H71 zenon_He3 zenon_H53 zenon_H52 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_Hc0. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 0.59/0.83 apply (zenon_L29_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hde ]. % 0.59/0.83 apply (zenon_L52_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.59/0.83 apply (zenon_L54_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.59/0.83 apply (zenon_L52_); trivial. % 0.59/0.83 exact (zenon_Hc0 zenon_Hc1). % 0.59/0.83 (* end of lemma zenon_L55_ *) % 0.59/0.83 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp11)) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.59/0.83 do 0 intro. intros zenon_H7c zenon_He6 zenon_Hc0 zenon_Hcb zenon_Hcd zenon_Hce zenon_H52 zenon_H53 zenon_He3 zenon_He2 zenon_H90 zenon_H17. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcc | zenon_intro zenon_He7 ]. % 0.59/0.83 apply (zenon_L55_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H91 | zenon_intro zenon_H18 ]. % 0.59/0.83 exact (zenon_H90 zenon_H91). % 0.59/0.83 exact (zenon_H17 zenon_H18). % 0.59/0.83 (* end of lemma zenon_L56_ *) % 0.59/0.83 assert (zenon_L57_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.59/0.83 do 0 intro. intros zenon_He8 zenon_He9 zenon_He6 zenon_H17 zenon_He3 zenon_He2 zenon_H92 zenon_H90 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_Hc4 zenon_H98 zenon_Haa zenon_Hae zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.59/0.83 apply (zenon_L34_); trivial. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.59/0.83 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.59/0.83 apply (zenon_L51_); trivial. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.59/0.83 apply (zenon_L38_); trivial. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.59/0.83 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.59/0.83 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.59/0.83 apply (zenon_L28_); trivial. % 0.59/0.83 apply (zenon_L56_); trivial. % 0.59/0.83 (* end of lemma zenon_L57_ *) % 0.59/0.83 assert (zenon_L58_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hf0 zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3. % 0.59/0.83 generalize (zenon_Hf0 (a1015)). zenon_intro zenon_Hf4. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf5 ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.59/0.83 exact (zenon_Hf1 zenon_Hf7). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.59/0.83 exact (zenon_Hf2 zenon_Hf9). % 0.59/0.83 exact (zenon_Hf8 zenon_Hf3). % 0.59/0.83 (* end of lemma zenon_L58_ *) % 0.59/0.83 assert (zenon_L59_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1052))) -> (~(c2_1 (a1052))) -> (c3_1 (a1052)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hfa zenon_Ha zenon_Hb0 zenon_Hb2 zenon_Hb1. % 0.59/0.83 generalize (zenon_Hfa (a1052)). zenon_intro zenon_Hfb. % 0.59/0.83 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ]. % 0.59/0.83 exact (zenon_H9 zenon_Ha). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb5 ]. % 0.59/0.83 exact (zenon_Hb0 zenon_Hba). % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbb ]. % 0.59/0.83 exact (zenon_Hb2 zenon_Hbd). % 0.59/0.83 exact (zenon_Hbb zenon_Hb1). % 0.59/0.83 (* end of lemma zenon_L59_ *) % 0.59/0.83 assert (zenon_L60_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c3_1 (a1015)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.59/0.83 do 0 intro. intros zenon_Hc2 zenon_Hfd zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H51 zenon_H52 zenon_H53. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.59/0.83 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.59/0.83 apply (zenon_L58_); trivial. % 0.59/0.83 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.59/0.83 apply (zenon_L59_); trivial. % 0.59/0.83 apply (zenon_L22_); trivial. % 0.59/0.83 (* end of lemma zenon_L60_ *) % 0.59/0.83 assert (zenon_L61_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> False). % 0.66/0.83 do 0 intro. intros zenon_Hff zenon_H61 zenon_H5d zenon_H4b zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H2f zenon_H98 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd zenon_Hc9. % 0.66/0.83 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.83 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.83 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.83 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.83 apply (zenon_L45_); trivial. % 0.66/0.83 apply (zenon_L60_); trivial. % 0.66/0.83 apply (zenon_L24_); trivial. % 0.66/0.83 (* end of lemma zenon_L61_ *) % 0.66/0.83 assert (zenon_L62_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.83 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H85 zenon_H81 zenon_H7d zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H61 zenon_Hae zenon_Haa zenon_H98 zenon_Hc4 zenon_Hc3 zenon_Hc9 zenon_H90 zenon_H92 zenon_He2 zenon_He3 zenon_H17 zenon_He6 zenon_He9 zenon_He8. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.83 apply (zenon_L57_); trivial. % 0.66/0.83 apply (zenon_L61_); trivial. % 0.66/0.83 (* end of lemma zenon_L62_ *) % 0.66/0.83 assert (zenon_L63_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> False). % 0.66/0.83 do 0 intro. intros zenon_Hca zenon_Ha zenon_H103 zenon_H104 zenon_H105. % 0.66/0.83 generalize (zenon_Hca (a1010)). zenon_intro zenon_H106. % 0.66/0.83 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H9 | zenon_intro zenon_H107 ]. % 0.66/0.83 exact (zenon_H9 zenon_Ha). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.66/0.83 exact (zenon_H103 zenon_H109). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.66/0.83 exact (zenon_H10b zenon_H104). % 0.66/0.83 exact (zenon_H10a zenon_H105). % 0.66/0.83 (* end of lemma zenon_L63_ *) % 0.66/0.83 assert (zenon_L64_ : (~(hskp15)) -> (hskp15) -> False). % 0.66/0.83 do 0 intro. intros zenon_H10c zenon_H10d. % 0.66/0.83 exact (zenon_H10c zenon_H10d). % 0.66/0.83 (* end of lemma zenon_L64_ *) % 0.66/0.83 assert (zenon_L65_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp15)) -> False). % 0.66/0.83 do 0 intro. intros zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H2d zenon_H10c. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hca | zenon_intro zenon_H10f ]. % 0.66/0.83 apply (zenon_L63_); trivial. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H2e | zenon_intro zenon_H10d ]. % 0.66/0.83 exact (zenon_H2d zenon_H2e). % 0.66/0.83 exact (zenon_H10c zenon_H10d). % 0.66/0.83 (* end of lemma zenon_L65_ *) % 0.66/0.83 assert (zenon_L66_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> False). % 0.66/0.83 do 0 intro. intros zenon_H61 zenon_H110 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H10c zenon_H10e. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.83 apply (zenon_L65_); trivial. % 0.66/0.83 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.66/0.83 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.66/0.83 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H37 | zenon_intro zenon_H111 ]. % 0.66/0.83 apply (zenon_L19_); trivial. % 0.66/0.83 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hca | zenon_intro zenon_H10d ]. % 0.66/0.83 apply (zenon_L63_); trivial. % 0.66/0.83 exact (zenon_H10c zenon_H10d). % 0.66/0.83 (* end of lemma zenon_L66_ *) % 0.66/0.83 assert (zenon_L67_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1026))) -> (~(c1_1 (a1026))) -> (c2_1 (a1026)) -> False). % 0.66/0.83 do 0 intro. intros zenon_H112 zenon_Ha zenon_H113 zenon_H114 zenon_H115. % 0.66/0.83 generalize (zenon_H112 (a1026)). zenon_intro zenon_H116. % 0.66/0.83 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_H9 | zenon_intro zenon_H117 ]. % 0.66/0.83 exact (zenon_H9 zenon_Ha). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.66/0.83 exact (zenon_H113 zenon_H119). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ]. % 0.66/0.83 exact (zenon_H114 zenon_H11b). % 0.66/0.83 exact (zenon_H11a zenon_H115). % 0.66/0.83 (* end of lemma zenon_L67_ *) % 0.66/0.83 assert (zenon_L68_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> False). % 0.66/0.83 do 0 intro. intros zenon_H11c zenon_Ha zenon_H11d zenon_H103 zenon_H104 zenon_H105. % 0.66/0.83 generalize (zenon_H11c (a1010)). zenon_intro zenon_H11e. % 0.66/0.83 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_H9 | zenon_intro zenon_H11f ]. % 0.66/0.83 exact (zenon_H9 zenon_Ha). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H120 | zenon_intro zenon_H108 ]. % 0.66/0.83 generalize (zenon_H11d (a1010)). zenon_intro zenon_H121. % 0.66/0.83 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_H9 | zenon_intro zenon_H122 ]. % 0.66/0.83 exact (zenon_H9 zenon_Ha). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H109 | zenon_intro zenon_H123 ]. % 0.66/0.83 exact (zenon_H103 zenon_H109). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10b | zenon_intro zenon_H124 ]. % 0.66/0.83 exact (zenon_H10b zenon_H104). % 0.66/0.83 exact (zenon_H124 zenon_H120). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.66/0.83 exact (zenon_H10b zenon_H104). % 0.66/0.83 exact (zenon_H10a zenon_H105). % 0.66/0.83 (* end of lemma zenon_L68_ *) % 0.66/0.83 assert (zenon_L69_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1029)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c2_1 (a1029)) -> (c3_1 (a1029)) -> False). % 0.66/0.83 do 0 intro. intros zenon_H125 zenon_Ha zenon_H24 zenon_H126 zenon_H25 zenon_H26. % 0.66/0.83 generalize (zenon_H125 (a1029)). zenon_intro zenon_H127. % 0.66/0.83 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H9 | zenon_intro zenon_H128 ]. % 0.66/0.83 exact (zenon_H9 zenon_Ha). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2a | zenon_intro zenon_H129 ]. % 0.66/0.83 exact (zenon_H2a zenon_H24). % 0.66/0.83 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H12a | zenon_intro zenon_H2c ]. % 0.66/0.84 generalize (zenon_H126 (a1029)). zenon_intro zenon_H12b. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_H9 | zenon_intro zenon_H12c ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12d | zenon_intro zenon_H29 ]. % 0.66/0.84 exact (zenon_H12a zenon_H12d). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.66/0.84 exact (zenon_H2c zenon_H25). % 0.66/0.84 exact (zenon_H2b zenon_H26). % 0.66/0.84 exact (zenon_H2c zenon_H25). % 0.66/0.84 (* end of lemma zenon_L69_ *) % 0.66/0.84 assert (zenon_L70_ : (~(hskp9)) -> (hskp9) -> False). % 0.66/0.84 do 0 intro. intros zenon_H12e zenon_H12f. % 0.66/0.84 exact (zenon_H12e zenon_H12f). % 0.66/0.84 (* end of lemma zenon_L70_ *) % 0.66/0.84 assert (zenon_L71_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c3_1 (a1029)) -> (c2_1 (a1029)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c0_1 (a1029)) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp12)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H130 zenon_H26 zenon_H25 zenon_H126 zenon_H24 zenon_Ha zenon_H12e zenon_H7a. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H125 | zenon_intro zenon_H131 ]. % 0.66/0.84 apply (zenon_L69_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H12f | zenon_intro zenon_H7b ]. % 0.66/0.84 exact (zenon_H12e zenon_H12f). % 0.66/0.84 exact (zenon_H7a zenon_H7b). % 0.66/0.84 (* end of lemma zenon_L71_ *) % 0.66/0.84 assert (zenon_L72_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp12)) -> (~(hskp9)) -> (ndr1_0) -> (c0_1 (a1029)) -> (c2_1 (a1029)) -> (c3_1 (a1029)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp6)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H132 zenon_H105 zenon_H104 zenon_H103 zenon_H11c zenon_H7a zenon_H12e zenon_Ha zenon_H24 zenon_H25 zenon_H26 zenon_H130 zenon_H1d. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.66/0.84 apply (zenon_L68_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.66/0.84 apply (zenon_L71_); trivial. % 0.66/0.84 exact (zenon_H1d zenon_H1e). % 0.66/0.84 (* end of lemma zenon_L72_ *) % 0.66/0.84 assert (zenon_L73_ : ((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (~(hskp12)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp4)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H31 zenon_H134 zenon_H115 zenon_H114 zenon_H113 zenon_H1d zenon_H130 zenon_H12e zenon_H7a zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_H1. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_L72_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 (* end of lemma zenon_L73_ *) % 0.66/0.84 assert (zenon_L74_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp14)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H136 zenon_H36 zenon_H134 zenon_H1 zenon_H130 zenon_H7a zenon_H12e zenon_H132 zenon_H1d zenon_H1f zenon_H21 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H110 zenon_H61. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L66_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.66/0.84 apply (zenon_L13_); trivial. % 0.66/0.84 apply (zenon_L73_); trivial. % 0.66/0.84 (* end of lemma zenon_L74_ *) % 0.66/0.84 assert (zenon_L75_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a1008))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H11d zenon_Ha zenon_H51 zenon_Hb zenon_H52 zenon_H53. % 0.66/0.84 generalize (zenon_H11d (a1008)). zenon_intro zenon_H13a. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H13a); [ zenon_intro zenon_H9 | zenon_intro zenon_H13b ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H57 | zenon_intro zenon_He1 ]. % 0.66/0.84 exact (zenon_H51 zenon_H57). % 0.66/0.84 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hda | zenon_intro zenon_H58 ]. % 0.66/0.84 apply (zenon_L53_); trivial. % 0.66/0.84 exact (zenon_H58 zenon_H53). % 0.66/0.84 (* end of lemma zenon_L75_ *) % 0.66/0.84 assert (zenon_L76_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H11c zenon_Ha zenon_H124 zenon_H104 zenon_H105. % 0.66/0.84 generalize (zenon_H11c (a1010)). zenon_intro zenon_H11e. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_H9 | zenon_intro zenon_H11f ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H120 | zenon_intro zenon_H108 ]. % 0.66/0.84 exact (zenon_H124 zenon_H120). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.66/0.84 exact (zenon_H10b zenon_H104). % 0.66/0.84 exact (zenon_H10a zenon_H105). % 0.66/0.84 (* end of lemma zenon_L76_ *) % 0.66/0.84 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H82 zenon_H136 zenon_H134 zenon_H1 zenon_H132 zenon_H1d zenon_H53 zenon_H52 zenon_H51 zenon_H13c zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L66_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.66/0.84 apply (zenon_L75_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.66/0.84 generalize (zenon_H126 (a1010)). zenon_intro zenon_H13e. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H9 | zenon_intro zenon_H13f ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H109 | zenon_intro zenon_H140 ]. % 0.66/0.84 exact (zenon_H103 zenon_H109). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H124 | zenon_intro zenon_H10a ]. % 0.66/0.84 apply (zenon_L76_); trivial. % 0.66/0.84 exact (zenon_H10a zenon_H105). % 0.66/0.84 exact (zenon_H1d zenon_H1e). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.84 apply (zenon_L68_); trivial. % 0.66/0.84 apply (zenon_L26_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 (* end of lemma zenon_L77_ *) % 0.66/0.84 assert (zenon_L78_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H85 zenon_H53 zenon_H52 zenon_H51 zenon_H13c zenon_H61 zenon_H110 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H10e zenon_H21 zenon_H1d zenon_H132 zenon_H12e zenon_H7a zenon_H130 zenon_H1 zenon_H134 zenon_H36 zenon_H136. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.84 apply (zenon_L74_); trivial. % 0.66/0.84 apply (zenon_L77_); trivial. % 0.66/0.84 (* end of lemma zenon_L78_ *) % 0.66/0.84 assert (zenon_L79_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H61 zenon_H92 zenon_H90 zenon_H89 zenon_H88 zenon_H87 zenon_H4b zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H10c zenon_H10e. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.84 apply (zenon_L65_); trivial. % 0.66/0.84 apply (zenon_L37_); trivial. % 0.66/0.84 (* end of lemma zenon_L79_ *) % 0.66/0.84 assert (zenon_L80_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_He3 zenon_H53 zenon_H52 zenon_H51 zenon_H11d zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_Hc0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.66/0.84 apply (zenon_L75_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_L63_); trivial. % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L80_ *) % 0.66/0.84 assert (zenon_L81_ : (~(hskp10)) -> (hskp10) -> False). % 0.66/0.84 do 0 intro. intros zenon_H141 zenon_H142. % 0.66/0.84 exact (zenon_H141 zenon_H142). % 0.66/0.84 (* end of lemma zenon_L81_ *) % 0.66/0.84 assert (zenon_L82_ : (~(hskp18)) -> (hskp18) -> False). % 0.66/0.84 do 0 intro. intros zenon_H143 zenon_H144. % 0.66/0.84 exact (zenon_H143 zenon_H144). % 0.66/0.84 (* end of lemma zenon_L82_ *) % 0.66/0.84 assert (zenon_L83_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c1_1 (a1048)) -> (~(c3_1 (a1048))) -> (~(c0_1 (a1048))) -> (~(hskp18)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hc2 zenon_Hc3 zenon_H73 zenon_H72 zenon_H71 zenon_H143 zenon_H141 zenon_H145 zenon_Hc0. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H70 | zenon_intro zenon_Hc7 ]. % 0.66/0.84 apply (zenon_L29_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Haf | zenon_intro zenon_H146 ]. % 0.66/0.84 apply (zenon_L46_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H142 | zenon_intro zenon_H144 ]. % 0.66/0.84 exact (zenon_H141 zenon_H142). % 0.66/0.84 exact (zenon_H143 zenon_H144). % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L83_ *) % 0.66/0.84 assert (zenon_L84_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a1036))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a1036)) -> (c3_1 (a1036)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H9b zenon_Ha zenon_H147 zenon_H37 zenon_H148 zenon_H149. % 0.66/0.84 generalize (zenon_H9b (a1036)). zenon_intro zenon_H14a. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H9 | zenon_intro zenon_H14b ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.66/0.84 exact (zenon_H147 zenon_H14d). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.66/0.84 generalize (zenon_H37 (a1036)). zenon_intro zenon_H150. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H9 | zenon_intro zenon_H151 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.66/0.84 exact (zenon_H14f zenon_H153). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H14e | zenon_intro zenon_H154 ]. % 0.66/0.84 exact (zenon_H14e zenon_H148). % 0.66/0.84 exact (zenon_H154 zenon_H149). % 0.66/0.84 exact (zenon_H14e zenon_H148). % 0.66/0.84 (* end of lemma zenon_L84_ *) % 0.66/0.84 assert (zenon_L85_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c1_1 (a1048)) -> (~(c3_1 (a1048))) -> (~(c0_1 (a1048))) -> (c3_1 (a1036)) -> (c1_1 (a1036)) -> (~(c2_1 (a1036))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hc3 zenon_H73 zenon_H72 zenon_H71 zenon_H149 zenon_H148 zenon_H147 zenon_Ha zenon_H9b zenon_Hc0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H70 | zenon_intro zenon_Hc7 ]. % 0.66/0.84 apply (zenon_L29_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_L84_); trivial. % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L85_ *) % 0.66/0.84 assert (zenon_L86_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a1036)) -> (c1_1 (a1036)) -> (~(c2_1 (a1036))) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H7c zenon_H155 zenon_H115 zenon_H114 zenon_H113 zenon_H103 zenon_H104 zenon_H105 zenon_H51 zenon_H52 zenon_H53 zenon_He3 zenon_Hc3 zenon_H149 zenon_H148 zenon_H147 zenon_Hc0. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.84 apply (zenon_L80_); trivial. % 0.66/0.84 apply (zenon_L85_); trivial. % 0.66/0.84 (* end of lemma zenon_L86_ *) % 0.66/0.84 assert (zenon_L87_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H82 zenon_H136 zenon_H157 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_H141 zenon_H145 zenon_H98 zenon_He3 zenon_Hc0 zenon_H53 zenon_H52 zenon_H51 zenon_H32 zenon_H155 zenon_Hae zenon_H2f zenon_H6e zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H4b zenon_H87 zenon_H88 zenon_H89 zenon_H90 zenon_H92 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L79_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.84 apply (zenon_L28_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.66/0.84 apply (zenon_L41_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.84 apply (zenon_L80_); trivial. % 0.66/0.84 apply (zenon_L43_); trivial. % 0.66/0.84 apply (zenon_L83_); trivial. % 0.66/0.84 apply (zenon_L37_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Ha. zenon_intro zenon_H159. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H148. zenon_intro zenon_H15a. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.84 apply (zenon_L28_); trivial. % 0.66/0.84 apply (zenon_L86_); trivial. % 0.66/0.84 (* end of lemma zenon_L87_ *) % 0.66/0.84 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hea zenon_H85 zenon_H136 zenon_H157 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_H141 zenon_H145 zenon_H98 zenon_He3 zenon_Hc0 zenon_H53 zenon_H52 zenon_H51 zenon_H155 zenon_Hae zenon_H6e zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H90 zenon_H92 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.84 apply (zenon_L38_); trivial. % 0.66/0.84 apply (zenon_L87_); trivial. % 0.66/0.84 (* end of lemma zenon_L88_ *) % 0.66/0.84 assert (zenon_L89_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_He8 zenon_H157 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_H141 zenon_H145 zenon_H98 zenon_He3 zenon_Hc0 zenon_H155 zenon_Hae zenon_H6e zenon_H32 zenon_H2f zenon_H4b zenon_H90 zenon_H92 zenon_H136 zenon_H36 zenon_H134 zenon_H1 zenon_H130 zenon_H12e zenon_H132 zenon_H1d zenon_H21 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H110 zenon_H61 zenon_H13c zenon_H51 zenon_H52 zenon_H53 zenon_H85. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.84 apply (zenon_L78_); trivial. % 0.66/0.84 apply (zenon_L88_); trivial. % 0.66/0.84 (* end of lemma zenon_L89_ *) % 0.66/0.84 assert (zenon_L90_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H126 zenon_Ha zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3. % 0.66/0.84 generalize (zenon_H126 (a1015)). zenon_intro zenon_H15b. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H9 | zenon_intro zenon_H15c ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H15d ]. % 0.66/0.84 exact (zenon_Hf2 zenon_Hf9). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15e | zenon_intro zenon_Hf8 ]. % 0.66/0.84 generalize (zenon_Hfa (a1015)). zenon_intro zenon_H15f. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H9 | zenon_intro zenon_H160 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H161 ]. % 0.66/0.84 exact (zenon_Hf1 zenon_Hf7). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H162 | zenon_intro zenon_Hf8 ]. % 0.66/0.84 exact (zenon_H15e zenon_H162). % 0.66/0.84 exact (zenon_Hf8 zenon_Hf3). % 0.66/0.84 exact (zenon_Hf8 zenon_Hf3). % 0.66/0.84 (* end of lemma zenon_L90_ *) % 0.66/0.84 assert (zenon_L91_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H132 zenon_H105 zenon_H104 zenon_H103 zenon_H11c zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_Ha zenon_H1d. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.66/0.84 apply (zenon_L68_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.66/0.84 apply (zenon_L90_); trivial. % 0.66/0.84 exact (zenon_H1d zenon_H1e). % 0.66/0.84 (* end of lemma zenon_L91_ *) % 0.66/0.84 assert (zenon_L92_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp14)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H163 zenon_H89 zenon_H88 zenon_H87 zenon_H1d zenon_Ha zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_H1f. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.66/0.84 apply (zenon_L35_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.66/0.84 apply (zenon_L91_); trivial. % 0.66/0.84 exact (zenon_H1f zenon_H20). % 0.66/0.84 (* end of lemma zenon_L92_ *) % 0.66/0.84 assert (zenon_L93_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(hskp14)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (~(hskp6)) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hfd zenon_H1f zenon_H132 zenon_H105 zenon_H104 zenon_H103 zenon_Hf3 zenon_Hf1 zenon_Hf2 zenon_H1d zenon_H87 zenon_H88 zenon_H89 zenon_H163 zenon_Ha zenon_H51 zenon_H52 zenon_H53. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.84 apply (zenon_L58_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.84 apply (zenon_L92_); trivial. % 0.66/0.84 apply (zenon_L22_); trivial. % 0.66/0.84 (* end of lemma zenon_L93_ *) % 0.66/0.84 assert (zenon_L94_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hea zenon_H85 zenon_H136 zenon_H134 zenon_H1 zenon_H13c zenon_H10e zenon_H110 zenon_H61 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H163 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.84 apply (zenon_L93_); trivial. % 0.66/0.84 apply (zenon_L77_); trivial. % 0.66/0.84 (* end of lemma zenon_L94_ *) % 0.66/0.84 assert (zenon_L95_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H165 zenon_Ha zenon_H166 zenon_H167 zenon_H168. % 0.66/0.84 generalize (zenon_H165 (a1012)). zenon_intro zenon_H169. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ]. % 0.66/0.84 exact (zenon_H166 zenon_H16c). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ]. % 0.66/0.84 exact (zenon_H167 zenon_H16e). % 0.66/0.84 exact (zenon_H16d zenon_H168). % 0.66/0.84 (* end of lemma zenon_L95_ *) % 0.66/0.84 assert (zenon_L96_ : (~(hskp20)) -> (hskp20) -> False). % 0.66/0.84 do 0 intro. intros zenon_H16f zenon_H170. % 0.66/0.84 exact (zenon_H16f zenon_H170). % 0.66/0.84 (* end of lemma zenon_L96_ *) % 0.66/0.84 assert (zenon_L97_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1038))) -> (~(c1_1 (a1038))) -> (~(c2_1 (a1038))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hcc zenon_Ha zenon_H171 zenon_H172 zenon_H173. % 0.66/0.84 generalize (zenon_Hcc (a1038)). zenon_intro zenon_H174. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H174); [ zenon_intro zenon_H9 | zenon_intro zenon_H175 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H177 | zenon_intro zenon_H176 ]. % 0.66/0.84 exact (zenon_H171 zenon_H177). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H179 | zenon_intro zenon_H178 ]. % 0.66/0.84 exact (zenon_H172 zenon_H179). % 0.66/0.84 exact (zenon_H173 zenon_H178). % 0.66/0.84 (* end of lemma zenon_L97_ *) % 0.66/0.84 assert (zenon_L98_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(c2_1 (a1038))) -> (~(c1_1 (a1038))) -> (~(c0_1 (a1038))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.66/0.84 do 0 intro. intros zenon_He6 zenon_H173 zenon_H172 zenon_H171 zenon_Ha zenon_H90 zenon_H17. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcc | zenon_intro zenon_He7 ]. % 0.66/0.84 apply (zenon_L97_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H91 | zenon_intro zenon_H18 ]. % 0.66/0.84 exact (zenon_H90 zenon_H91). % 0.66/0.84 exact (zenon_H17 zenon_H18). % 0.66/0.84 (* end of lemma zenon_L98_ *) % 0.66/0.84 assert (zenon_L99_ : ((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H17a zenon_He6 zenon_H90 zenon_H17. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H171. zenon_intro zenon_H17c. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H172. zenon_intro zenon_H173. % 0.66/0.84 apply (zenon_L98_); trivial. % 0.66/0.84 (* end of lemma zenon_L99_ *) % 0.66/0.84 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H82 zenon_H17d zenon_He6 zenon_H17 zenon_H90 zenon_H166 zenon_H167 zenon_H168 zenon_H17e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H17a ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H165 | zenon_intro zenon_H17f ]. % 0.66/0.84 apply (zenon_L95_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H62 | zenon_intro zenon_H170 ]. % 0.66/0.84 apply (zenon_L26_); trivial. % 0.66/0.84 exact (zenon_H16f zenon_H170). % 0.66/0.84 apply (zenon_L99_); trivial. % 0.66/0.84 (* end of lemma zenon_L100_ *) % 0.66/0.84 assert (zenon_L101_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hea zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H90 zenon_H92 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.84 apply (zenon_L38_); trivial. % 0.66/0.84 apply (zenon_L100_); trivial. % 0.66/0.84 (* end of lemma zenon_L101_ *) % 0.66/0.84 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H180 zenon_He8 zenon_H17d zenon_He6 zenon_H17 zenon_H17e zenon_H32 zenon_H2f zenon_H4b zenon_H90 zenon_H92 zenon_H136 zenon_H36 zenon_H134 zenon_H1 zenon_H130 zenon_H12e zenon_H132 zenon_H1d zenon_H21 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61 zenon_H13c zenon_H51 zenon_H52 zenon_H53 zenon_H85. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.84 apply (zenon_L78_); trivial. % 0.66/0.84 apply (zenon_L101_); trivial. % 0.66/0.84 (* end of lemma zenon_L102_ *) % 0.66/0.84 assert (zenon_L103_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H9b zenon_Ha zenon_H183 zenon_H184 zenon_H185. % 0.66/0.84 generalize (zenon_H9b (a1011)). zenon_intro zenon_H186. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H186); [ zenon_intro zenon_H9 | zenon_intro zenon_H187 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H189 | zenon_intro zenon_H188 ]. % 0.66/0.84 exact (zenon_H183 zenon_H189). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 0.66/0.84 exact (zenon_H18b zenon_H184). % 0.66/0.84 exact (zenon_H18a zenon_H185). % 0.66/0.84 (* end of lemma zenon_L103_ *) % 0.66/0.84 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H18c zenon_H136 zenon_H155 zenon_H1 zenon_H134 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L66_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_L68_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 apply (zenon_L103_); trivial. % 0.66/0.84 (* end of lemma zenon_L104_ *) % 0.66/0.84 assert (zenon_L105_ : ((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H18f zenon_H19 zenon_H15 zenon_H17. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.66/0.84 apply (zenon_L9_); trivial. % 0.66/0.84 (* end of lemma zenon_L105_ *) % 0.66/0.84 assert (zenon_L106_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> (~(hskp4)) -> (~(hskp7)) -> ((hskp4)\/((hskp21)\/(hskp7))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H192 zenon_H19 zenon_H17 zenon_H15 zenon_H1 zenon_H5 zenon_H7. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.66/0.84 apply (zenon_L4_); trivial. % 0.66/0.84 apply (zenon_L105_); trivial. % 0.66/0.84 (* end of lemma zenon_L106_ *) % 0.66/0.84 assert (zenon_L107_ : ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp22)) -> (~(hskp14)) -> (~(hskp12)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H193 zenon_H194 zenon_H1f zenon_H7a. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.66/0.84 exact (zenon_H194 zenon_H196). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H20 | zenon_intro zenon_H7b ]. % 0.66/0.84 exact (zenon_H1f zenon_H20). % 0.66/0.84 exact (zenon_H7a zenon_H7b). % 0.66/0.84 (* end of lemma zenon_L107_ *) % 0.66/0.84 assert (zenon_L108_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1043))) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H62 zenon_Ha zenon_H197 zenon_Haf zenon_H198 zenon_H199. % 0.66/0.84 generalize (zenon_H62 (a1043)). zenon_intro zenon_H19a. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H9 | zenon_intro zenon_H19b ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ]. % 0.66/0.84 exact (zenon_H197 zenon_H19d). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.66/0.84 generalize (zenon_Haf (a1043)). zenon_intro zenon_H1a0. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a1 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.66/0.84 exact (zenon_H198 zenon_H1a3). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H19d | zenon_intro zenon_H1a4 ]. % 0.66/0.84 exact (zenon_H197 zenon_H19d). % 0.66/0.84 exact (zenon_H1a4 zenon_H19f). % 0.66/0.84 exact (zenon_H19e zenon_H199). % 0.66/0.84 (* end of lemma zenon_L108_ *) % 0.66/0.84 assert (zenon_L109_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (~(c2_1 (a1043))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp25)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H6e zenon_H199 zenon_H198 zenon_Haf zenon_H197 zenon_Ha zenon_H2f zenon_H6c. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H62 | zenon_intro zenon_H6f ]. % 0.66/0.84 apply (zenon_L108_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H30 | zenon_intro zenon_H6d ]. % 0.66/0.84 exact (zenon_H2f zenon_H30). % 0.66/0.84 exact (zenon_H6c zenon_H6d). % 0.66/0.84 (* end of lemma zenon_L109_ *) % 0.66/0.84 assert (zenon_L110_ : (~(hskp28)) -> (hskp28) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1a5 zenon_H1a6. % 0.66/0.84 exact (zenon_H1a5 zenon_H1a6). % 0.66/0.84 (* end of lemma zenon_L110_ *) % 0.66/0.84 assert (zenon_L111_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp25)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1a7 zenon_H6c zenon_H2f zenon_Ha zenon_H197 zenon_H198 zenon_H199 zenon_H6e zenon_H1a5 zenon_H5a. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Haf | zenon_intro zenon_H1a8 ]. % 0.66/0.84 apply (zenon_L109_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H5b ]. % 0.66/0.84 exact (zenon_H1a5 zenon_H1a6). % 0.66/0.84 exact (zenon_H5a zenon_H5b). % 0.66/0.84 (* end of lemma zenon_L111_ *) % 0.66/0.84 assert (zenon_L112_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a1008))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hde zenon_Ha zenon_H52 zenon_H112 zenon_H51 zenon_H53. % 0.66/0.84 generalize (zenon_Hde (a1008)). zenon_intro zenon_Hdf. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_H9 | zenon_intro zenon_He0 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_H59 | zenon_intro zenon_He1 ]. % 0.66/0.84 exact (zenon_H52 zenon_H59). % 0.66/0.84 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hda | zenon_intro zenon_H58 ]. % 0.66/0.84 generalize (zenon_H112 (a1008)). zenon_intro zenon_H1a9. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1aa ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hdd | zenon_intro zenon_H1ab ]. % 0.66/0.84 exact (zenon_Hda zenon_Hdd). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 0.66/0.84 exact (zenon_H51 zenon_H57). % 0.66/0.84 exact (zenon_H58 zenon_H53). % 0.66/0.84 exact (zenon_H58 zenon_H53). % 0.66/0.84 (* end of lemma zenon_L112_ *) % 0.66/0.84 assert (zenon_L113_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1033)) -> (c1_1 (a1033)) -> (c2_1 (a1033)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H125 zenon_Ha zenon_H1ac zenon_H1ad zenon_H1ae. % 0.66/0.84 generalize (zenon_H125 (a1033)). zenon_intro zenon_H1af. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ]. % 0.66/0.84 exact (zenon_H1b2 zenon_H1ac). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.66/0.84 exact (zenon_H1b4 zenon_H1ad). % 0.66/0.84 exact (zenon_H1b3 zenon_H1ae). % 0.66/0.84 (* end of lemma zenon_L113_ *) % 0.66/0.84 assert (zenon_L114_ : (~(hskp17)) -> (hskp17) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1b5 zenon_H1b6. % 0.66/0.84 exact (zenon_H1b5 zenon_H1b6). % 0.66/0.84 (* end of lemma zenon_L114_ *) % 0.66/0.84 assert (zenon_L115_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c1_1 (a1008))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a1008))) -> (c2_1 (a1033)) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1b7 zenon_H53 zenon_H51 zenon_H112 zenon_H52 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Ha zenon_H1b5. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.66/0.84 apply (zenon_L112_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.66/0.84 apply (zenon_L113_); trivial. % 0.66/0.84 exact (zenon_H1b5 zenon_H1b6). % 0.66/0.84 (* end of lemma zenon_L115_ *) % 0.66/0.84 assert (zenon_L116_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H11c zenon_Ha zenon_H1b9 zenon_H1ba zenon_H1bb. % 0.66/0.84 generalize (zenon_H11c (a1006)). zenon_intro zenon_H1bc. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bd ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.66/0.84 exact (zenon_H1b9 zenon_H1bf). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.66/0.84 exact (zenon_H1c1 zenon_H1ba). % 0.66/0.84 exact (zenon_H1c0 zenon_H1bb). % 0.66/0.84 (* end of lemma zenon_L116_ *) % 0.66/0.84 assert (zenon_L117_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp17)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp4)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1c2 zenon_H134 zenon_H1b5 zenon_H52 zenon_H51 zenon_H53 zenon_H1b7 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L115_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_L116_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 (* end of lemma zenon_L117_ *) % 0.66/0.84 assert (zenon_L118_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp25)) -> (~(hskp3)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c2_1 (a1043))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1c5 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H6e zenon_H6c zenon_H2f zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H5a zenon_H1a7. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.84 apply (zenon_L111_); trivial. % 0.66/0.84 apply (zenon_L117_); trivial. % 0.66/0.84 (* end of lemma zenon_L118_ *) % 0.66/0.84 assert (zenon_L119_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c1_1 (a1048)) -> (~(c3_1 (a1048))) -> (~(c0_1 (a1048))) -> (~(hskp8)) -> (~(hskp28)) -> (ndr1_0) -> (~(c0_1 (a1052))) -> (c3_1 (a1052)) -> (~(c2_1 (a1052))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hc3 zenon_H73 zenon_H72 zenon_H71 zenon_H5a zenon_H1a5 zenon_Ha zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H1a7 zenon_Hc0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H70 | zenon_intro zenon_Hc7 ]. % 0.66/0.84 apply (zenon_L29_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Haf | zenon_intro zenon_H1a8 ]. % 0.66/0.84 apply (zenon_L46_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H5b ]. % 0.66/0.84 exact (zenon_H1a5 zenon_H1a6). % 0.66/0.84 exact (zenon_H5a zenon_H5b). % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L119_ *) % 0.66/0.84 assert (zenon_L120_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c0_1 (a1048))) -> (~(c3_1 (a1048))) -> (c1_1 (a1048)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hc2 zenon_H1c5 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H72 zenon_H73 zenon_H1a7 zenon_H5a zenon_Hc0 zenon_Hc3. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.84 apply (zenon_L119_); trivial. % 0.66/0.84 apply (zenon_L117_); trivial. % 0.66/0.84 (* end of lemma zenon_L120_ *) % 0.66/0.84 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_H1c5 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H2f zenon_H32 zenon_H2d zenon_H5a zenon_Haa zenon_Hae. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.84 apply (zenon_L45_); trivial. % 0.66/0.84 apply (zenon_L120_); trivial. % 0.66/0.84 (* end of lemma zenon_L121_ *) % 0.66/0.84 assert (zenon_L122_ : ((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1c6 zenon_H61 zenon_H5d zenon_H4b zenon_H1c5 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.84 apply (zenon_L118_); trivial. % 0.66/0.84 apply (zenon_L121_); trivial. % 0.66/0.84 apply (zenon_L24_); trivial. % 0.66/0.84 (* end of lemma zenon_L122_ *) % 0.66/0.84 assert (zenon_L123_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1032))) -> (~(c1_1 (a1032))) -> (c2_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H112 zenon_Ha zenon_H1c9 zenon_H1ca zenon_H1cb. % 0.66/0.84 generalize (zenon_H112 (a1032)). zenon_intro zenon_H1cc. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cd ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.66/0.84 exact (zenon_H1c9 zenon_H1cf). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.66/0.84 exact (zenon_H1ca zenon_H1d1). % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 (* end of lemma zenon_L123_ *) % 0.66/0.84 assert (zenon_L124_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1032))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H4d zenon_Ha zenon_H1c9 zenon_H1cb zenon_H1d2. % 0.66/0.84 generalize (zenon_H4d (a1032)). zenon_intro zenon_H1d3. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1d3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d4 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1d5 ]. % 0.66/0.84 exact (zenon_H1c9 zenon_H1cf). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 (* end of lemma zenon_L124_ *) % 0.66/0.84 assert (zenon_L125_ : (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a1032))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H42 zenon_Ha zenon_H112 zenon_H1c9 zenon_H1cb zenon_H1d2. % 0.66/0.84 generalize (zenon_H42 (a1032)). zenon_intro zenon_H1d7. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d8 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1d5 ]. % 0.66/0.84 apply (zenon_L123_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 (* end of lemma zenon_L125_ *) % 0.66/0.84 assert (zenon_L126_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a1032))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H4b zenon_Ha zenon_H112 zenon_H1c9 zenon_H1cb zenon_H1d2. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.66/0.84 generalize (zenon_H37 (a1032)). zenon_intro zenon_H1d9. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1da ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1db ]. % 0.66/0.84 exact (zenon_H1c9 zenon_H1cf). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1d6 ]. % 0.66/0.84 apply (zenon_L123_); trivial. % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.66/0.84 apply (zenon_L124_); trivial. % 0.66/0.84 apply (zenon_L125_); trivial. % 0.66/0.84 (* end of lemma zenon_L126_ *) % 0.66/0.84 assert (zenon_L127_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp4)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1dc zenon_H134 zenon_H4b zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L126_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_L116_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 (* end of lemma zenon_L127_ *) % 0.66/0.84 assert (zenon_L128_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1df zenon_H193 zenon_H7a zenon_H1f zenon_H81 zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H32 zenon_Haa zenon_Hae zenon_H1a7 zenon_H5a zenon_H2f zenon_H6e zenon_H1b7 zenon_H53 zenon_H51 zenon_H52 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1 zenon_H134 zenon_H1c5 zenon_H4b zenon_H5d zenon_H61 zenon_H1e0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.84 apply (zenon_L107_); trivial. % 0.66/0.84 apply (zenon_L122_); trivial. % 0.66/0.84 apply (zenon_L127_); trivial. % 0.66/0.84 (* end of lemma zenon_L128_ *) % 0.66/0.84 assert (zenon_L129_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H163 zenon_H89 zenon_H88 zenon_H87 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1f. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.66/0.84 apply (zenon_L35_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.66/0.84 apply (zenon_L116_); trivial. % 0.66/0.84 exact (zenon_H1f zenon_H20). % 0.66/0.84 (* end of lemma zenon_L129_ *) % 0.66/0.84 assert (zenon_L130_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (ndr1_0) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H85 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H98 zenon_Hc4 zenon_Hbe zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_Ha zenon_H87 zenon_H88 zenon_H89 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.84 apply (zenon_L129_); trivial. % 0.66/0.84 apply (zenon_L50_); trivial. % 0.66/0.84 (* end of lemma zenon_L130_ *) % 0.66/0.84 assert (zenon_L131_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp15)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H10e zenon_Hce zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_H2d zenon_H10c. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hca | zenon_intro zenon_H10f ]. % 0.66/0.84 apply (zenon_L52_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H2e | zenon_intro zenon_H10d ]. % 0.66/0.84 exact (zenon_H2d zenon_H2e). % 0.66/0.84 exact (zenon_H10c zenon_H10d). % 0.66/0.84 (* end of lemma zenon_L131_ *) % 0.66/0.84 assert (zenon_L132_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H10e zenon_H10c zenon_Hce zenon_Hcd zenon_Hcb zenon_Ha zenon_H90 zenon_H17 zenon_He6. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcc | zenon_intro zenon_He7 ]. % 0.66/0.84 apply (zenon_L131_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H91 | zenon_intro zenon_H18 ]. % 0.66/0.84 exact (zenon_H90 zenon_H91). % 0.66/0.84 exact (zenon_H17 zenon_H18). % 0.66/0.84 apply (zenon_L24_); trivial. % 0.66/0.84 (* end of lemma zenon_L132_ *) % 0.66/0.84 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp4)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H137 zenon_H134 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.84 apply (zenon_L67_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.84 apply (zenon_L116_); trivial. % 0.66/0.84 exact (zenon_H1 zenon_H2). % 0.66/0.84 (* end of lemma zenon_L133_ *) % 0.66/0.84 assert (zenon_L134_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hed zenon_H136 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_He6 zenon_H17 zenon_H90 zenon_H10e zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L132_); trivial. % 0.66/0.84 apply (zenon_L133_); trivial. % 0.66/0.84 (* end of lemma zenon_L134_ *) % 0.66/0.84 assert (zenon_L135_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hea zenon_He9 zenon_H136 zenon_H134 zenon_H1 zenon_He6 zenon_H17 zenon_H90 zenon_H10e zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_Hc4 zenon_H98 zenon_H32 zenon_H5a zenon_Haa zenon_Hae zenon_H2f zenon_H6e zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H61 zenon_H85. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.66/0.84 apply (zenon_L130_); trivial. % 0.66/0.84 apply (zenon_L134_); trivial. % 0.66/0.84 (* end of lemma zenon_L135_ *) % 0.66/0.84 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1e1 zenon_H136 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H10e zenon_H110 zenon_H61. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.84 apply (zenon_L66_); trivial. % 0.66/0.84 apply (zenon_L133_); trivial. % 0.66/0.84 (* end of lemma zenon_L136_ *) % 0.66/0.84 assert (zenon_L137_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H125 zenon_Ha zenon_Hb zenon_H1e4 zenon_H1e5 zenon_H1e6. % 0.66/0.84 generalize (zenon_H125 (a1004)). zenon_intro zenon_H1e7. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e8 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 0.66/0.84 generalize (zenon_Hb (a1004)). zenon_intro zenon_H1eb. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ec ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ed ]. % 0.66/0.84 exact (zenon_H1ea zenon_H1ee). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1ef ]. % 0.66/0.84 exact (zenon_H1e4 zenon_H1f0). % 0.66/0.84 exact (zenon_H1ef zenon_H1e5). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.84 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.84 exact (zenon_H1ef zenon_H1e5). % 0.66/0.84 (* end of lemma zenon_L137_ *) % 0.66/0.84 assert (zenon_L138_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H19 zenon_Ha zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H5 zenon_H1f2 zenon_H15 zenon_H17. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H6 ]. % 0.66/0.84 apply (zenon_L137_); trivial. % 0.66/0.84 exact (zenon_H5 zenon_H6). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.66/0.84 exact (zenon_H15 zenon_H16). % 0.66/0.84 exact (zenon_H17 zenon_H18). % 0.66/0.84 (* end of lemma zenon_L138_ *) % 0.66/0.84 assert (zenon_L139_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1b7 zenon_H53 zenon_H52 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Hb zenon_Ha zenon_H1b5. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.66/0.84 apply (zenon_L54_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.66/0.84 apply (zenon_L137_); trivial. % 0.66/0.84 exact (zenon_H1b5 zenon_H1b6). % 0.66/0.84 (* end of lemma zenon_L139_ *) % 0.66/0.84 assert (zenon_L140_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp17)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_He3 zenon_H1b5 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H52 zenon_H53 zenon_H1b7 zenon_Hce zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_Hc0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.66/0.84 apply (zenon_L139_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_L52_); trivial. % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L140_ *) % 0.66/0.84 assert (zenon_L141_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.66/0.84 do 0 intro. intros zenon_He6 zenon_Hc0 zenon_Ha zenon_Hcb zenon_Hcd zenon_Hce zenon_H1b7 zenon_H53 zenon_H52 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1b5 zenon_He3 zenon_H90 zenon_H17. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hcc | zenon_intro zenon_He7 ]. % 0.66/0.84 apply (zenon_L140_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H91 | zenon_intro zenon_H18 ]. % 0.66/0.84 exact (zenon_H90 zenon_H91). % 0.66/0.84 exact (zenon_H17 zenon_H18). % 0.66/0.84 (* end of lemma zenon_L141_ *) % 0.66/0.84 assert (zenon_L142_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c0_1 (a1032))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H126 zenon_Ha zenon_H37 zenon_H1c9 zenon_H1d2 zenon_H1cb. % 0.66/0.84 generalize (zenon_H126 (a1032)). zenon_intro zenon_H1f3. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d5 ]. % 0.66/0.84 generalize (zenon_H37 (a1032)). zenon_intro zenon_H1d9. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1da ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1db ]. % 0.66/0.84 exact (zenon_H1c9 zenon_H1cf). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1ca zenon_H1d1). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 (* end of lemma zenon_L142_ *) % 0.66/0.84 assert (zenon_L143_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H126 zenon_Ha zenon_H42 zenon_H1cb zenon_H1d2. % 0.66/0.84 generalize (zenon_H126 (a1032)). zenon_intro zenon_H1f3. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d5 ]. % 0.66/0.84 generalize (zenon_H42 (a1032)). zenon_intro zenon_H1d7. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d8 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1d5 ]. % 0.66/0.84 exact (zenon_H1ca zenon_H1d1). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d6 ]. % 0.66/0.84 exact (zenon_H1d0 zenon_H1cb). % 0.66/0.84 exact (zenon_H1d6 zenon_H1d2). % 0.66/0.84 (* end of lemma zenon_L143_ *) % 0.66/0.84 assert (zenon_L144_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1032))) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H4b zenon_H1c9 zenon_H126 zenon_Ha zenon_H1cb zenon_H1d2. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.66/0.84 apply (zenon_L142_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.66/0.84 apply (zenon_L124_); trivial. % 0.66/0.84 apply (zenon_L143_); trivial. % 0.66/0.84 (* end of lemma zenon_L144_ *) % 0.66/0.84 assert (zenon_L145_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1dc zenon_H1f5 zenon_H89 zenon_H88 zenon_H87 zenon_H4b zenon_H5a. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H86 | zenon_intro zenon_H1f6 ]. % 0.66/0.84 apply (zenon_L35_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H126 | zenon_intro zenon_H5b ]. % 0.66/0.84 apply (zenon_L144_); trivial. % 0.66/0.84 exact (zenon_H5a zenon_H5b). % 0.66/0.84 (* end of lemma zenon_L145_ *) % 0.66/0.84 assert (zenon_L146_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> False). % 0.66/0.84 do 0 intro. intros zenon_Hed zenon_H1df zenon_H1f5 zenon_H5a zenon_H4b zenon_H89 zenon_H88 zenon_H87 zenon_He3 zenon_Hc0 zenon_H52 zenon_H53 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H90 zenon_H17 zenon_He6. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.84 apply (zenon_L141_); trivial. % 0.66/0.84 apply (zenon_L145_); trivial. % 0.66/0.84 (* end of lemma zenon_L146_ *) % 0.66/0.84 assert (zenon_L147_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H85 zenon_H81 zenon_H7d zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H61 zenon_Hae zenon_Haa zenon_H98 zenon_Hc4 zenon_Hc3 zenon_Hc9 zenon_H90 zenon_H92 zenon_He6 zenon_H17 zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_He3 zenon_H1f5 zenon_H1df zenon_He9 zenon_He8. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.84 apply (zenon_L34_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.66/0.84 apply (zenon_L51_); trivial. % 0.66/0.84 apply (zenon_L146_); trivial. % 0.66/0.84 apply (zenon_L61_); trivial. % 0.66/0.84 (* end of lemma zenon_L147_ *) % 0.66/0.84 assert (zenon_L148_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp12)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H130 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Hb zenon_Ha zenon_H12e zenon_H7a. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H125 | zenon_intro zenon_H131 ]. % 0.66/0.84 apply (zenon_L137_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H12f | zenon_intro zenon_H7b ]. % 0.66/0.84 exact (zenon_H12e zenon_H12f). % 0.66/0.84 exact (zenon_H7a zenon_H7b). % 0.66/0.84 (* end of lemma zenon_L148_ *) % 0.66/0.84 assert (zenon_L149_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp12)) -> (~(hskp9)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.66/0.84 do 0 intro. intros zenon_He3 zenon_H7a zenon_H12e zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H130 zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_Hc0. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.66/0.84 apply (zenon_L148_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.66/0.84 apply (zenon_L63_); trivial. % 0.66/0.84 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.84 (* end of lemma zenon_L149_ *) % 0.66/0.84 assert (zenon_L150_ : (forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1f7 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.84 generalize (zenon_H1f7 (a1004)). zenon_intro zenon_H1f8. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f9 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1e9 ]. % 0.66/0.84 exact (zenon_H1e4 zenon_H1f0). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.84 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.84 exact (zenon_H1ef zenon_H1e5). % 0.66/0.84 (* end of lemma zenon_L150_ *) % 0.66/0.84 assert (zenon_L151_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp6)) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1fa zenon_H1d zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.84 apply (zenon_L90_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.84 apply (zenon_L91_); trivial. % 0.66/0.84 apply (zenon_L150_); trivial. % 0.66/0.84 (* end of lemma zenon_L151_ *) % 0.66/0.84 assert (zenon_L152_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.84 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H132 zenon_H1fa zenon_He3 zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H12e zenon_H130 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H10e zenon_H6e zenon_Hae zenon_H155 zenon_H51 zenon_H52 zenon_H53 zenon_H98 zenon_H145 zenon_H141 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H157 zenon_H136 zenon_H85 zenon_He8. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.84 apply (zenon_L149_); trivial. % 0.66/0.84 apply (zenon_L88_); trivial. % 0.66/0.84 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.84 apply (zenon_L58_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.84 apply (zenon_L151_); trivial. % 0.66/0.84 apply (zenon_L22_); trivial. % 0.66/0.84 (* end of lemma zenon_L152_ *) % 0.66/0.84 assert (zenon_L153_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.84 do 0 intro. intros zenon_He8 zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H90 zenon_H92 zenon_H61 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.84 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.84 apply (zenon_L149_); trivial. % 0.66/0.84 apply (zenon_L101_); trivial. % 0.66/0.84 (* end of lemma zenon_L153_ *) % 0.66/0.84 assert (zenon_L154_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H125 zenon_Ha zenon_H86 zenon_H1e6 zenon_H1e5. % 0.66/0.84 generalize (zenon_H125 (a1004)). zenon_intro zenon_H1e7. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e8 ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 0.66/0.84 generalize (zenon_H86 (a1004)). zenon_intro zenon_H1fc. % 0.66/0.84 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fd ]. % 0.66/0.84 exact (zenon_H9 zenon_Ha). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1e9 ]. % 0.66/0.84 exact (zenon_H1ea zenon_H1ee). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.84 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.84 exact (zenon_H1ef zenon_H1e5). % 0.66/0.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.84 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.84 exact (zenon_H1ef zenon_H1e5). % 0.66/0.84 (* end of lemma zenon_L154_ *) % 0.66/0.84 assert (zenon_L155_ : (~(hskp5)) -> (hskp5) -> False). % 0.66/0.84 do 0 intro. intros zenon_H1fe zenon_H1ff. % 0.66/0.84 exact (zenon_H1fe zenon_H1ff). % 0.66/0.84 (* end of lemma zenon_L155_ *) % 0.66/0.84 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (c3_1 (a1015)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (~(hskp0)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp5)) -> False). % 0.66/0.84 do 0 intro. intros zenon_H5c zenon_H200 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H90 zenon_H1e6 zenon_H1e5 zenon_H4b zenon_H92 zenon_H1fe. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.66/0.84 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.66/0.84 apply (zenon_L58_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H41 | zenon_intro zenon_H93 ]. % 0.66/0.84 apply (zenon_L21_); trivial. % 0.66/0.84 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.66/0.84 apply (zenon_L154_); trivial. % 0.66/0.84 exact (zenon_H90 zenon_H91). % 0.66/0.84 exact (zenon_H1fe zenon_H1ff). % 0.66/0.84 (* end of lemma zenon_L156_ *) % 0.66/0.84 assert (zenon_L157_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H85 zenon_H81 zenon_H7d zenon_H7a zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H92 zenon_H90 zenon_H1e5 zenon_H1e6 zenon_H4b zenon_H1fe zenon_H200 zenon_H61. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.85 apply (zenon_L18_); trivial. % 0.66/0.85 apply (zenon_L156_); trivial. % 0.66/0.85 apply (zenon_L33_); trivial. % 0.66/0.85 (* end of lemma zenon_L157_ *) % 0.66/0.85 assert (zenon_L158_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hff zenon_He8 zenon_H17d zenon_He6 zenon_H17 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H61 zenon_H200 zenon_H1fe zenon_H4b zenon_H1e6 zenon_H1e5 zenon_H90 zenon_H92 zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L157_); trivial. % 0.66/0.85 apply (zenon_L101_); trivial. % 0.66/0.85 (* end of lemma zenon_L158_ *) % 0.66/0.85 assert (zenon_L159_ : ((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H180 zenon_H102 zenon_H200 zenon_H1fe zenon_H6e zenon_H7d zenon_H81 zenon_He3 zenon_H105 zenon_H104 zenon_H103 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H12e zenon_H130 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H17e zenon_H17 zenon_He6 zenon_H17d zenon_H85 zenon_He8. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_L153_); trivial. % 0.66/0.85 apply (zenon_L158_); trivial. % 0.66/0.85 (* end of lemma zenon_L159_ *) % 0.66/0.85 assert (zenon_L160_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H136 zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H51 zenon_H52 zenon_H53 zenon_Hc0 zenon_He3 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H110 zenon_H61. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.85 apply (zenon_L66_); trivial. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.85 apply (zenon_L67_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.85 apply (zenon_L80_); trivial. % 0.66/0.85 apply (zenon_L103_); trivial. % 0.66/0.85 (* end of lemma zenon_L160_ *) % 0.66/0.85 assert (zenon_L161_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c1_1 (a1040)) -> (c3_1 (a1040)) -> (c0_1 (a1040)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H11c zenon_Ha zenon_H42 zenon_H9c zenon_H9d zenon_H9a. % 0.66/0.85 generalize (zenon_H11c (a1040)). zenon_intro zenon_H202. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H9 | zenon_intro zenon_H203 ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H204 ]. % 0.66/0.85 generalize (zenon_H42 (a1040)). zenon_intro zenon_H205. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_H9 | zenon_intro zenon_H206 ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha0 ]. % 0.66/0.85 exact (zenon_Ha8 zenon_H9c). % 0.66/0.85 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.66/0.85 exact (zenon_Ha3 zenon_Ha7). % 0.66/0.85 exact (zenon_Ha2 zenon_H9d). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha2 ]. % 0.66/0.85 exact (zenon_Ha1 zenon_H9a). % 0.66/0.85 exact (zenon_Ha2 zenon_H9d). % 0.66/0.85 (* end of lemma zenon_L161_ *) % 0.66/0.85 assert (zenon_L162_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (c0_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1fa zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_H9a zenon_H9d zenon_H9c zenon_H42 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.85 apply (zenon_L90_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.85 apply (zenon_L161_); trivial. % 0.66/0.85 apply (zenon_L150_); trivial. % 0.66/0.85 (* end of lemma zenon_L162_ *) % 0.66/0.85 assert (zenon_L163_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (c0_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H207 zenon_H105 zenon_H104 zenon_H103 zenon_H185 zenon_H184 zenon_H183 zenon_H1fa zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_H9a zenon_H9d zenon_H9c zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_Hca | zenon_intro zenon_H208 ]. % 0.66/0.85 apply (zenon_L63_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H9b | zenon_intro zenon_H42 ]. % 0.66/0.85 apply (zenon_L103_); trivial. % 0.66/0.85 apply (zenon_L162_); trivial. % 0.66/0.85 (* end of lemma zenon_L163_ *) % 0.66/0.85 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.85 do 0 intro. intros zenon_Ha9 zenon_Hfd zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_Hf2 zenon_Hf1 zenon_Hf3 zenon_H1fa zenon_H183 zenon_H184 zenon_H185 zenon_H103 zenon_H104 zenon_H105 zenon_H207 zenon_H51 zenon_H52 zenon_H53. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.85 apply (zenon_L58_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.85 apply (zenon_L163_); trivial. % 0.66/0.85 apply (zenon_L22_); trivial. % 0.66/0.85 (* end of lemma zenon_L164_ *) % 0.66/0.85 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H18c zenon_H102 zenon_Hc9 zenon_H98 zenon_H2f zenon_H207 zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1fa zenon_Hfd zenon_Hae zenon_H61 zenon_H110 zenon_H103 zenon_H104 zenon_H105 zenon_H10e zenon_He3 zenon_H53 zenon_H52 zenon_H51 zenon_H155 zenon_H136. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_L160_); trivial. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.66/0.85 apply (zenon_L41_); trivial. % 0.66/0.85 apply (zenon_L164_); trivial. % 0.66/0.85 apply (zenon_L60_); trivial. % 0.66/0.85 (* end of lemma zenon_L165_ *) % 0.66/0.85 assert (zenon_L166_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> (~(c0_1 (a1032))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1fa zenon_H1cb zenon_H1d2 zenon_H1c9 zenon_H37 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.85 apply (zenon_L142_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.85 apply (zenon_L116_); trivial. % 0.66/0.85 apply (zenon_L150_); trivial. % 0.66/0.85 (* end of lemma zenon_L166_ *) % 0.66/0.85 assert (zenon_L167_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H42 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.85 apply (zenon_L143_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.85 apply (zenon_L116_); trivial. % 0.66/0.85 apply (zenon_L150_); trivial. % 0.66/0.85 (* end of lemma zenon_L167_ *) % 0.66/0.85 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1dc zenon_H4b zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.66/0.85 apply (zenon_L166_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.66/0.85 apply (zenon_L124_); trivial. % 0.66/0.85 apply (zenon_L167_); trivial. % 0.66/0.85 (* end of lemma zenon_L168_ *) % 0.66/0.85 assert (zenon_L169_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H209 zenon_Ha zenon_H20a zenon_H20b zenon_H20c. % 0.66/0.85 generalize (zenon_H209 (a1005)). zenon_intro zenon_H20d. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H9 | zenon_intro zenon_H20e ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.66/0.85 exact (zenon_H20a zenon_H210). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.66/0.85 exact (zenon_H20b zenon_H212). % 0.66/0.85 exact (zenon_H20c zenon_H211). % 0.66/0.85 (* end of lemma zenon_L169_ *) % 0.66/0.85 assert (zenon_L170_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp12)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_Ha zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3 zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_H7a. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H209 | zenon_intro zenon_H214 ]. % 0.66/0.85 apply (zenon_L169_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H11c | zenon_intro zenon_H7b ]. % 0.66/0.85 apply (zenon_L91_); trivial. % 0.66/0.85 exact (zenon_H7a zenon_H7b). % 0.66/0.85 (* end of lemma zenon_L170_ *) % 0.66/0.85 assert (zenon_L171_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (~(hskp6)) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hfd zenon_H7a zenon_H132 zenon_H105 zenon_H104 zenon_H103 zenon_Hf3 zenon_Hf1 zenon_Hf2 zenon_H1d zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_Ha zenon_H51 zenon_H52 zenon_H53. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.85 apply (zenon_L58_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.85 apply (zenon_L170_); trivial. % 0.66/0.85 apply (zenon_L22_); trivial. % 0.66/0.85 (* end of lemma zenon_L171_ *) % 0.66/0.85 assert (zenon_L172_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hff zenon_He8 zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H36 zenon_H32 zenon_H2f zenon_H21 zenon_H4b zenon_H90 zenon_H92 zenon_H61 zenon_H213 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H20c zenon_H20b zenon_H20a zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L171_); trivial. % 0.66/0.85 apply (zenon_L101_); trivial. % 0.66/0.85 (* end of lemma zenon_L172_ *) % 0.66/0.85 assert (zenon_L173_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H7a. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H209 | zenon_intro zenon_H214 ]. % 0.66/0.85 apply (zenon_L169_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H11c | zenon_intro zenon_H7b ]. % 0.66/0.85 apply (zenon_L116_); trivial. % 0.66/0.85 exact (zenon_H7a zenon_H7b). % 0.66/0.85 (* end of lemma zenon_L173_ *) % 0.66/0.85 assert (zenon_L174_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hed zenon_H1df zenon_H4b zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_He3 zenon_Hc0 zenon_H52 zenon_H53 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H90 zenon_H17 zenon_He6. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.85 apply (zenon_L141_); trivial. % 0.66/0.85 apply (zenon_L168_); trivial. % 0.66/0.85 (* end of lemma zenon_L174_ *) % 0.66/0.85 assert (zenon_L175_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1fa zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.85 apply (zenon_L90_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.85 apply (zenon_L116_); trivial. % 0.66/0.85 apply (zenon_L150_); trivial. % 0.66/0.85 (* end of lemma zenon_L175_ *) % 0.66/0.85 assert (zenon_L176_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hff zenon_Hfd zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_H51 zenon_H52 zenon_H53. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.85 apply (zenon_L58_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.85 apply (zenon_L175_); trivial. % 0.66/0.85 apply (zenon_L22_); trivial. % 0.66/0.85 (* end of lemma zenon_L176_ *) % 0.66/0.85 assert (zenon_L177_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hea zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H90 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.85 apply (zenon_L129_); trivial. % 0.66/0.85 apply (zenon_L100_); trivial. % 0.66/0.85 (* end of lemma zenon_L177_ *) % 0.66/0.85 assert (zenon_L178_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(c1_1 (a1012))) -> (~(c3_1 (a1012))) -> (c0_1 (a1012)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.85 do 0 intro. intros zenon_He8 zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H90 zenon_H166 zenon_H167 zenon_H168 zenon_H17e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L149_); trivial. % 0.66/0.85 apply (zenon_L177_); trivial. % 0.66/0.85 (* end of lemma zenon_L178_ *) % 0.66/0.85 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H180 zenon_H102 zenon_Hfd zenon_H53 zenon_H52 zenon_H51 zenon_H1fa zenon_He3 zenon_H105 zenon_H104 zenon_H103 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H12e zenon_H130 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H17e zenon_H90 zenon_H17 zenon_He6 zenon_H17d zenon_H85 zenon_He8. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_L178_); trivial. % 0.66/0.85 apply (zenon_L176_); trivial. % 0.66/0.85 (* end of lemma zenon_L179_ *) % 0.66/0.85 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H18c zenon_H102 zenon_Hfd zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1fa zenon_H61 zenon_H110 zenon_H103 zenon_H104 zenon_H105 zenon_H10e zenon_He3 zenon_H53 zenon_H52 zenon_H51 zenon_H155 zenon_H136. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_L160_); trivial. % 0.66/0.85 apply (zenon_L176_); trivial. % 0.66/0.85 (* end of lemma zenon_L180_ *) % 0.66/0.85 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1e1 zenon_H215 zenon_H110 zenon_H102 zenon_Hfd zenon_H1fa zenon_He3 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H130 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H10e zenon_H6e zenon_H2f zenon_Hae zenon_H155 zenon_H32 zenon_H51 zenon_H52 zenon_H53 zenon_H98 zenon_H145 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H157 zenon_H136 zenon_H85 zenon_He8 zenon_H17d zenon_He6 zenon_H17 zenon_H17e zenon_H216. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L149_); trivial. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.85 apply (zenon_L129_); trivial. % 0.66/0.85 apply (zenon_L87_); trivial. % 0.66/0.85 apply (zenon_L176_); trivial. % 0.66/0.85 apply (zenon_L179_); trivial. % 0.66/0.85 apply (zenon_L180_); trivial. % 0.66/0.85 (* end of lemma zenon_L181_ *) % 0.66/0.85 assert (zenon_L182_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H41 zenon_Ha zenon_H217 zenon_H218 zenon_H219. % 0.66/0.85 generalize (zenon_H41 (a1003)). zenon_intro zenon_H21a. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H9 | zenon_intro zenon_H21b ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 0.66/0.85 exact (zenon_H217 zenon_H21d). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.66/0.85 exact (zenon_H218 zenon_H21f). % 0.66/0.85 exact (zenon_H21e zenon_H219). % 0.66/0.85 (* end of lemma zenon_L182_ *) % 0.66/0.85 assert (zenon_L183_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H5d zenon_H219 zenon_H218 zenon_H217 zenon_H53 zenon_H52 zenon_H51 zenon_Ha zenon_H5a. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H41 | zenon_intro zenon_H60 ]. % 0.66/0.85 apply (zenon_L182_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H50 | zenon_intro zenon_H5b ]. % 0.66/0.85 apply (zenon_L22_); trivial. % 0.66/0.85 exact (zenon_H5a zenon_H5b). % 0.66/0.85 (* end of lemma zenon_L183_ *) % 0.66/0.85 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(hskp0)) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hea zenon_H92 zenon_H219 zenon_H218 zenon_H217 zenon_H90. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H41 | zenon_intro zenon_H93 ]. % 0.66/0.85 apply (zenon_L182_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.66/0.85 apply (zenon_L35_); trivial. % 0.66/0.85 exact (zenon_H90 zenon_H91). % 0.66/0.85 (* end of lemma zenon_L184_ *) % 0.66/0.85 assert (zenon_L185_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H136 zenon_H36 zenon_H134 zenon_H1 zenon_H130 zenon_H12e zenon_H132 zenon_H1d zenon_H21 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H110 zenon_H61 zenon_H13c zenon_H51 zenon_H52 zenon_H53 zenon_H85. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L78_); trivial. % 0.66/0.85 apply (zenon_L184_); trivial. % 0.66/0.85 (* end of lemma zenon_L185_ *) % 0.66/0.85 assert (zenon_L186_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H220 zenon_H219 zenon_H218 zenon_H217 zenon_Ha zenon_H5a zenon_H5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H41 | zenon_intro zenon_H221 ]. % 0.66/0.85 apply (zenon_L182_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5b | zenon_intro zenon_H6 ]. % 0.66/0.85 exact (zenon_H5a zenon_H5b). % 0.66/0.85 exact (zenon_H5 zenon_H6). % 0.66/0.85 (* end of lemma zenon_L186_ *) % 0.66/0.85 assert (zenon_L187_ : ((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H222 zenon_H223 zenon_H136 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H10e zenon_H110 zenon_H61 zenon_H217 zenon_H218 zenon_H219 zenon_H5d. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.66/0.85 apply (zenon_L183_); trivial. % 0.66/0.85 apply (zenon_L136_); trivial. % 0.66/0.85 (* end of lemma zenon_L187_ *) % 0.66/0.85 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H226 zenon_H227 zenon_H5d zenon_H220 zenon_H219 zenon_H218 zenon_H217 zenon_H61 zenon_H110 zenon_H10e zenon_H1 zenon_H134 zenon_H136 zenon_H223. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.66/0.85 apply (zenon_L186_); trivial. % 0.66/0.85 apply (zenon_L136_); trivial. % 0.66/0.85 apply (zenon_L187_); trivial. % 0.66/0.85 (* end of lemma zenon_L188_ *) % 0.66/0.85 assert (zenon_L189_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.85 do 0 intro. intros zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.85 apply (zenon_L149_); trivial. % 0.66/0.85 apply (zenon_L184_); trivial. % 0.66/0.85 (* end of lemma zenon_L189_ *) % 0.66/0.85 assert (zenon_L190_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp0)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp5)) -> False). % 0.66/0.85 do 0 intro. intros zenon_Hff zenon_H200 zenon_H90 zenon_H1e6 zenon_H1e5 zenon_H217 zenon_H218 zenon_H219 zenon_H92 zenon_H1fe. % 0.66/0.85 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.85 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.66/0.85 apply (zenon_L58_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H41 | zenon_intro zenon_H93 ]. % 0.66/0.85 apply (zenon_L182_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.66/0.85 apply (zenon_L154_); trivial. % 0.66/0.85 exact (zenon_H90 zenon_H91). % 0.66/0.85 exact (zenon_H1fe zenon_H1ff). % 0.66/0.85 (* end of lemma zenon_L190_ *) % 0.66/0.85 assert (zenon_L191_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.85 do 0 intro. intros zenon_H102 zenon_H200 zenon_H1fe zenon_He3 zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H12e zenon_H130 zenon_H217 zenon_H218 zenon_H219 zenon_H90 zenon_H92 zenon_He8. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.85 apply (zenon_L189_); trivial. % 0.66/0.85 apply (zenon_L190_); trivial. % 0.66/0.85 (* end of lemma zenon_L191_ *) % 0.66/0.85 assert (zenon_L192_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H86 zenon_Ha zenon_Hde zenon_H1e4 zenon_H1e5 zenon_H1e6. % 0.66/0.85 generalize (zenon_H86 (a1004)). zenon_intro zenon_H1fc. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fd ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1e9 ]. % 0.66/0.85 generalize (zenon_Hde (a1004)). zenon_intro zenon_H22a. % 0.66/0.85 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H9 | zenon_intro zenon_H22b ]. % 0.66/0.85 exact (zenon_H9 zenon_Ha). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H22c ]. % 0.66/0.85 exact (zenon_H1e4 zenon_H1f0). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1ef ]. % 0.66/0.85 exact (zenon_H1ea zenon_H1ee). % 0.66/0.85 exact (zenon_H1ef zenon_H1e5). % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.85 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.85 exact (zenon_H1ef zenon_H1e5). % 0.66/0.85 (* end of lemma zenon_L192_ *) % 0.66/0.85 assert (zenon_L193_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp0)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H92 zenon_H219 zenon_H218 zenon_H217 zenon_Hc0 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1b5 zenon_He3 zenon_H90. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H41 | zenon_intro zenon_H93 ]. % 0.66/0.85 apply (zenon_L182_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.66/0.85 apply (zenon_L192_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.66/0.85 apply (zenon_L137_); trivial. % 0.66/0.85 exact (zenon_H1b5 zenon_H1b6). % 0.66/0.85 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.66/0.85 apply (zenon_L63_); trivial. % 0.66/0.85 exact (zenon_Hc0 zenon_Hc1). % 0.66/0.85 exact (zenon_H90 zenon_H91). % 0.66/0.85 (* end of lemma zenon_L193_ *) % 0.66/0.85 assert (zenon_L194_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (~(c0_1 (a1032))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.85 do 0 intro. intros zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H1c9 zenon_H4b zenon_H105 zenon_H104 zenon_H103 zenon_H11d zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.66/0.85 apply (zenon_L144_); trivial. % 0.66/0.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.66/0.85 apply (zenon_L68_); trivial. % 0.66/0.85 apply (zenon_L150_); trivial. % 0.66/0.85 (* end of lemma zenon_L194_ *) % 0.66/0.85 assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1dc zenon_H155 zenon_H115 zenon_H114 zenon_H113 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H103 zenon_H104 zenon_H105 zenon_H4b zenon_H1fa zenon_H183 zenon_H184 zenon_H185. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L67_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L194_); trivial. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 (* end of lemma zenon_L195_ *) % 0.66/0.86 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp12)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H31 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_H130 zenon_H12e zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_H7a. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H209 | zenon_intro zenon_H214 ]. % 0.66/0.86 apply (zenon_L169_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H11c | zenon_intro zenon_H7b ]. % 0.66/0.86 apply (zenon_L72_); trivial. % 0.66/0.86 exact (zenon_H7a zenon_H7b). % 0.66/0.86 (* end of lemma zenon_L196_ *) % 0.66/0.86 assert (zenon_L197_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a1010)) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a1010)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H23 zenon_Ha zenon_H104 zenon_H11c zenon_H105. % 0.66/0.86 generalize (zenon_H23 (a1010)). zenon_intro zenon_H22d. % 0.66/0.86 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H9 | zenon_intro zenon_H22e ]. % 0.66/0.86 exact (zenon_H9 zenon_Ha). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H10b | zenon_intro zenon_H140 ]. % 0.66/0.86 exact (zenon_H10b zenon_H104). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H124 | zenon_intro zenon_H10a ]. % 0.66/0.86 apply (zenon_L76_); trivial. % 0.66/0.86 exact (zenon_H10a zenon_H105). % 0.66/0.86 (* end of lemma zenon_L197_ *) % 0.66/0.86 assert (zenon_L198_ : ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (c3_1 (a1010)) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (c0_1 (a1010)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H22f zenon_H185 zenon_H184 zenon_H183 zenon_H105 zenon_H11c zenon_H104 zenon_Ha zenon_H1d. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H9b | zenon_intro zenon_H230 ]. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H23 | zenon_intro zenon_H1e ]. % 0.66/0.86 apply (zenon_L197_); trivial. % 0.66/0.86 exact (zenon_H1d zenon_H1e). % 0.66/0.86 (* end of lemma zenon_L198_ *) % 0.66/0.86 assert (zenon_L199_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> (ndr1_0) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6))) -> (~(hskp12)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_Ha zenon_H104 zenon_H105 zenon_H183 zenon_H184 zenon_H185 zenon_H22f zenon_H7a. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H209 | zenon_intro zenon_H214 ]. % 0.66/0.86 apply (zenon_L169_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H11c | zenon_intro zenon_H7b ]. % 0.66/0.86 apply (zenon_L198_); trivial. % 0.66/0.86 exact (zenon_H7a zenon_H7b). % 0.66/0.86 (* end of lemma zenon_L199_ *) % 0.66/0.86 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H18c zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H20a zenon_H20b zenon_H20c zenon_H22f zenon_H1d zenon_H105 zenon_H104 zenon_H213. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L199_); trivial. % 0.66/0.86 apply (zenon_L184_); trivial. % 0.66/0.86 (* end of lemma zenon_L200_ *) % 0.66/0.86 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp9)\/(hskp10))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1e1 zenon_H215 zenon_H22f zenon_H231 zenon_H219 zenon_H218 zenon_H217 zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H90 zenon_H17e zenon_H21 zenon_H1d zenon_H20a zenon_H20b zenon_H20c zenon_H132 zenon_H130 zenon_H213 zenon_H36 zenon_H92 zenon_He8 zenon_H216. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H41 | zenon_intro zenon_H232 ]. % 0.66/0.86 apply (zenon_L182_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H12f | zenon_intro zenon_H142 ]. % 0.66/0.86 exact (zenon_H12e zenon_H12f). % 0.66/0.86 exact (zenon_H141 zenon_H142). % 0.66/0.86 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.66/0.86 apply (zenon_L13_); trivial. % 0.66/0.86 apply (zenon_L196_); trivial. % 0.66/0.86 apply (zenon_L100_); trivial. % 0.66/0.86 apply (zenon_L184_); trivial. % 0.66/0.86 apply (zenon_L200_); trivial. % 0.66/0.86 (* end of lemma zenon_L201_ *) % 0.66/0.86 assert (zenon_L202_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/(hskp6))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp9)\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012))))))) -> (ndr1_0) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H223 zenon_H215 zenon_H22f zenon_H231 zenon_H85 zenon_H17d zenon_He6 zenon_H17 zenon_H90 zenon_H17e zenon_H21 zenon_H1d zenon_H20a zenon_H20b zenon_H20c zenon_H132 zenon_H130 zenon_H213 zenon_H36 zenon_H92 zenon_He8 zenon_H216 zenon_Ha zenon_H217 zenon_H218 zenon_H219 zenon_H5 zenon_H220. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.66/0.86 apply (zenon_L186_); trivial. % 0.66/0.86 apply (zenon_L201_); trivial. % 0.66/0.86 (* end of lemma zenon_L202_ *) % 0.66/0.86 assert (zenon_L203_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hff zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H213 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H20c zenon_H20b zenon_H20a zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L171_); trivial. % 0.66/0.86 apply (zenon_L184_); trivial. % 0.66/0.86 (* end of lemma zenon_L203_ *) % 0.66/0.86 assert (zenon_L204_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H226 zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H20a zenon_H20b zenon_H20c zenon_H213. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L173_); trivial. % 0.66/0.86 apply (zenon_L184_); trivial. % 0.66/0.86 (* end of lemma zenon_L204_ *) % 0.66/0.86 assert (zenon_L205_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H5c zenon_H220 zenon_H4b zenon_H5a zenon_H5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H41 | zenon_intro zenon_H221 ]. % 0.66/0.86 apply (zenon_L21_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5b | zenon_intro zenon_H6 ]. % 0.66/0.86 exact (zenon_H5a zenon_H5b). % 0.66/0.86 exact (zenon_H5 zenon_H6). % 0.66/0.86 (* end of lemma zenon_L205_ *) % 0.66/0.86 assert (zenon_L206_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H61 zenon_H220 zenon_H5 zenon_H5a zenon_H4b zenon_H21 zenon_H1f zenon_H1d zenon_H2f zenon_H32 zenon_H36. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_L18_); trivial. % 0.66/0.86 apply (zenon_L205_); trivial. % 0.66/0.86 (* end of lemma zenon_L206_ *) % 0.66/0.86 assert (zenon_L207_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H11d zenon_Ha zenon_H233 zenon_H234 zenon_H235. % 0.66/0.86 generalize (zenon_H11d (a1002)). zenon_intro zenon_H236. % 0.66/0.86 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H9 | zenon_intro zenon_H237 ]. % 0.66/0.86 exact (zenon_H9 zenon_Ha). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H239 | zenon_intro zenon_H238 ]. % 0.66/0.86 exact (zenon_H233 zenon_H239). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 0.66/0.86 exact (zenon_H23b zenon_H234). % 0.66/0.86 exact (zenon_H23a zenon_H235). % 0.66/0.86 (* end of lemma zenon_L207_ *) % 0.66/0.86 assert (zenon_L208_ : ((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H18f zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H63 zenon_H64 zenon_H65. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.86 apply (zenon_L6_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L26_); trivial. % 0.66/0.86 (* end of lemma zenon_L208_ *) % 0.66/0.86 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp4)) -> (~(hskp7)) -> ((hskp4)\/((hskp21)\/(hskp7))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H192 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H1 zenon_H5 zenon_H7. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.66/0.86 apply (zenon_L4_); trivial. % 0.66/0.86 apply (zenon_L208_); trivial. % 0.66/0.86 (* end of lemma zenon_L209_ *) % 0.66/0.86 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp4)) -> ((hskp4)\/((hskp21)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H85 zenon_H192 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H1 zenon_H7 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H5a zenon_H5 zenon_H220 zenon_H61. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L206_); trivial. % 0.66/0.86 apply (zenon_L209_); trivial. % 0.66/0.86 (* end of lemma zenon_L210_ *) % 0.66/0.86 assert (zenon_L211_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp7)) -> ((hskp4)\/((hskp21)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H85 zenon_H192 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H5 zenon_H7 zenon_H61 zenon_H110 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H10e zenon_H21 zenon_H1d zenon_H132 zenon_H12e zenon_H7a zenon_H130 zenon_H1 zenon_H134 zenon_H36 zenon_H136. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L74_); trivial. % 0.66/0.86 apply (zenon_L209_); trivial. % 0.66/0.86 (* end of lemma zenon_L211_ *) % 0.66/0.86 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H137 zenon_H155 zenon_H235 zenon_H234 zenon_H233 zenon_H183 zenon_H184 zenon_H185. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L67_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 (* end of lemma zenon_L212_ *) % 0.66/0.86 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H18c zenon_H136 zenon_H155 zenon_H235 zenon_H234 zenon_H233 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.86 apply (zenon_L66_); trivial. % 0.66/0.86 apply (zenon_L212_); trivial. % 0.66/0.86 (* end of lemma zenon_L213_ *) % 0.66/0.86 assert (zenon_L214_ : (forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> False). % 0.66/0.86 do 0 intro. intros zenon_Haf zenon_Ha zenon_Hcb zenon_Hcd zenon_Hce. % 0.66/0.86 generalize (zenon_Haf (a1023)). zenon_intro zenon_H23c. % 0.66/0.86 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ]. % 0.66/0.86 exact (zenon_H9 zenon_Ha). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H23e ]. % 0.66/0.86 exact (zenon_Hcb zenon_Hd2). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd3 ]. % 0.66/0.86 exact (zenon_Hcd zenon_Hd9). % 0.66/0.86 exact (zenon_Hd3 zenon_Hce). % 0.66/0.86 (* end of lemma zenon_L214_ *) % 0.66/0.86 assert (zenon_L215_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp18)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H145 zenon_Hce zenon_Hcd zenon_Hcb zenon_Ha zenon_H141 zenon_H143. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Haf | zenon_intro zenon_H146 ]. % 0.66/0.86 apply (zenon_L214_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H142 | zenon_intro zenon_H144 ]. % 0.66/0.86 exact (zenon_H141 zenon_H142). % 0.66/0.86 exact (zenon_H143 zenon_H144). % 0.66/0.86 (* end of lemma zenon_L215_ *) % 0.66/0.86 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c3_1 (a1036)) -> (c1_1 (a1036)) -> (~(c2_1 (a1036))) -> (~(hskp11)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H7c zenon_H155 zenon_H115 zenon_H114 zenon_H113 zenon_H235 zenon_H234 zenon_H233 zenon_Hc3 zenon_H149 zenon_H148 zenon_H147 zenon_Hc0. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L67_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L85_); trivial. % 0.66/0.86 (* end of lemma zenon_L216_ *) % 0.66/0.86 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H158 zenon_H81 zenon_H155 zenon_Hc0 zenon_Hc3 zenon_H235 zenon_H234 zenon_H233 zenon_H115 zenon_H114 zenon_H113 zenon_H63 zenon_H64 zenon_H65 zenon_H2f zenon_H6e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_Ha. zenon_intro zenon_H159. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H148. zenon_intro zenon_H15a. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L28_); trivial. % 0.66/0.86 apply (zenon_L216_); trivial. % 0.66/0.86 (* end of lemma zenon_L217_ *) % 0.66/0.86 assert (zenon_L218_ : ((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H137 zenon_H157 zenon_H81 zenon_H155 zenon_Hc0 zenon_Hc3 zenon_H235 zenon_H234 zenon_H233 zenon_H63 zenon_H64 zenon_H65 zenon_H2f zenon_H6e zenon_Hcb zenon_Hcd zenon_Hce zenon_H141 zenon_H145. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.66/0.86 apply (zenon_L215_); trivial. % 0.66/0.86 apply (zenon_L217_); trivial. % 0.66/0.86 (* end of lemma zenon_L218_ *) % 0.66/0.86 assert (zenon_L219_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hed zenon_H85 zenon_H136 zenon_H157 zenon_H81 zenon_H155 zenon_Hc0 zenon_Hc3 zenon_H235 zenon_H234 zenon_H233 zenon_H6e zenon_H141 zenon_H145 zenon_He6 zenon_H17 zenon_H10e zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H87 zenon_H88 zenon_H89 zenon_H90 zenon_H92 zenon_H61. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L38_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.86 apply (zenon_L132_); trivial. % 0.66/0.86 apply (zenon_L218_); trivial. % 0.66/0.86 (* end of lemma zenon_L219_ *) % 0.66/0.86 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a1012))/\((~(c1_1 (a1012)))/\(~(c3_1 (a1012)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a1038)))/\((~(c1_1 (a1038)))/\(~(c2_1 (a1038))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H180 zenon_He8 zenon_H17d zenon_He6 zenon_H17 zenon_H17e zenon_H90 zenon_H92 zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L34_); trivial. % 0.66/0.86 apply (zenon_L101_); trivial. % 0.66/0.86 (* end of lemma zenon_L220_ *) % 0.66/0.86 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> (~(hskp3)) -> False). % 0.66/0.86 do 0 intro. intros zenon_Ha9 zenon_H155 zenon_H115 zenon_H114 zenon_H113 zenon_H235 zenon_H234 zenon_H233 zenon_H32 zenon_H2d zenon_H2f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L67_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L43_); trivial. % 0.66/0.86 (* end of lemma zenon_L221_ *) % 0.66/0.86 assert (zenon_L222_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp24)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (c2_1 (a1026)) -> (~(c1_1 (a1026))) -> (~(c0_1 (a1026))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp29)\/((hskp3)\/(hskp26))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hae zenon_H155 zenon_H2d zenon_H32 zenon_H235 zenon_H234 zenon_H233 zenon_H115 zenon_H114 zenon_H113 zenon_H2f zenon_H96 zenon_H98. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.66/0.86 apply (zenon_L41_); trivial. % 0.66/0.86 apply (zenon_L221_); trivial. % 0.66/0.86 (* end of lemma zenon_L222_ *) % 0.66/0.86 assert (zenon_L223_ : ((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (c0_1 (a1025)) -> (~(c3_1 (a1025))) -> (~(c2_1 (a1025))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H137 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H6e zenon_H2f zenon_H65 zenon_H64 zenon_H63 zenon_Hae zenon_H155 zenon_H32 zenon_H235 zenon_H234 zenon_H233 zenon_H98 zenon_Hc4 zenon_Hbe zenon_H89 zenon_H88 zenon_H87 zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L28_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L222_); trivial. % 0.66/0.86 apply (zenon_L49_); trivial. % 0.66/0.86 apply (zenon_L37_); trivial. % 0.66/0.86 (* end of lemma zenon_L223_ *) % 0.66/0.86 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H136 zenon_H92 zenon_H90 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_H155 zenon_H32 zenon_H235 zenon_H234 zenon_H233 zenon_H98 zenon_Hc4 zenon_Hbe zenon_H89 zenon_H88 zenon_H87 zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.86 apply (zenon_L66_); trivial. % 0.66/0.86 apply (zenon_L223_); trivial. % 0.66/0.86 (* end of lemma zenon_L224_ *) % 0.66/0.86 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H136 zenon_H157 zenon_H81 zenon_H155 zenon_Hc0 zenon_Hc3 zenon_H235 zenon_H234 zenon_H233 zenon_H2f zenon_H6e zenon_Hcb zenon_Hcd zenon_Hce zenon_H141 zenon_H145 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H4b zenon_H87 zenon_H88 zenon_H89 zenon_H90 zenon_H92 zenon_H61. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.66/0.86 apply (zenon_L79_); trivial. % 0.66/0.86 apply (zenon_L218_); trivial. % 0.66/0.86 (* end of lemma zenon_L225_ *) % 0.66/0.86 assert (zenon_L226_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hea zenon_He9 zenon_H157 zenon_H141 zenon_H145 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H110 zenon_H103 zenon_H104 zenon_H105 zenon_H10e zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_Hc4 zenon_H98 zenon_H233 zenon_H234 zenon_H235 zenon_H155 zenon_Hae zenon_H6e zenon_H136 zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L38_); trivial. % 0.66/0.86 apply (zenon_L224_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L38_); trivial. % 0.66/0.86 apply (zenon_L225_); trivial. % 0.66/0.86 (* end of lemma zenon_L226_ *) % 0.66/0.86 assert (zenon_L227_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp6)) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H13c zenon_H1d zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3 zenon_H51 zenon_H52 zenon_H53 zenon_H132 zenon_H235 zenon_H234 zenon_H233 zenon_Ha zenon_H63 zenon_H64 zenon_H65. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.66/0.86 apply (zenon_L75_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.66/0.86 apply (zenon_L90_); trivial. % 0.66/0.86 exact (zenon_H1d zenon_H1e). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L26_); trivial. % 0.66/0.86 (* end of lemma zenon_L227_ *) % 0.66/0.86 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (~(hskp6)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_Hfd zenon_H233 zenon_H234 zenon_H235 zenon_H132 zenon_Hf3 zenon_Hf1 zenon_Hf2 zenon_H1d zenon_H13c zenon_H51 zenon_H52 zenon_H53. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.66/0.86 apply (zenon_L58_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.66/0.86 apply (zenon_L227_); trivial. % 0.66/0.86 apply (zenon_L22_); trivial. % 0.66/0.86 (* end of lemma zenon_L228_ *) % 0.66/0.86 assert (zenon_L229_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hea zenon_H85 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H163 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L93_); trivial. % 0.66/0.86 apply (zenon_L228_); trivial. % 0.66/0.86 (* end of lemma zenon_L229_ *) % 0.66/0.86 assert (zenon_L230_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hff zenon_He8 zenon_H163 zenon_H136 zenon_H36 zenon_H134 zenon_H1 zenon_H130 zenon_H12e zenon_H132 zenon_H1d zenon_H21 zenon_H10e zenon_H105 zenon_H104 zenon_H103 zenon_H110 zenon_H61 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L74_); trivial. % 0.66/0.86 apply (zenon_L228_); trivial. % 0.66/0.86 apply (zenon_L229_); trivial. % 0.66/0.86 (* end of lemma zenon_L230_ *) % 0.66/0.86 assert (zenon_L231_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1041))) -> (~(c1_1 (a1041))) -> (c2_1 (a1041)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H112 zenon_Ha zenon_Hc zenon_H23f zenon_He. % 0.66/0.86 generalize (zenon_H112 (a1041)). zenon_intro zenon_H240. % 0.66/0.86 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H9 | zenon_intro zenon_H241 ]. % 0.66/0.86 exact (zenon_H9 zenon_Ha). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H12 | zenon_intro zenon_H242 ]. % 0.66/0.86 exact (zenon_Hc zenon_H12). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H243 | zenon_intro zenon_H13 ]. % 0.66/0.86 exact (zenon_H23f zenon_H243). % 0.66/0.86 exact (zenon_H13 zenon_He). % 0.66/0.86 (* end of lemma zenon_L231_ *) % 0.66/0.86 assert (zenon_L232_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c2_1 (a1041)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a1041))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H163 zenon_He zenon_H112 zenon_Hc zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1f. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.66/0.86 generalize (zenon_H86 (a1041)). zenon_intro zenon_H244. % 0.66/0.86 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H9 | zenon_intro zenon_H245 ]. % 0.66/0.86 exact (zenon_H9 zenon_Ha). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H12 | zenon_intro zenon_H246 ]. % 0.66/0.86 exact (zenon_Hc zenon_H12). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23f | zenon_intro zenon_H13 ]. % 0.66/0.86 apply (zenon_L231_); trivial. % 0.66/0.86 exact (zenon_H13 zenon_He). % 0.66/0.86 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.66/0.86 apply (zenon_L116_); trivial. % 0.66/0.86 exact (zenon_H1f zenon_H20). % 0.66/0.86 (* end of lemma zenon_L232_ *) % 0.66/0.86 assert (zenon_L233_ : ((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp4)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H18f zenon_H134 zenon_H1f zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.66/0.86 apply (zenon_L232_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.66/0.86 apply (zenon_L116_); trivial. % 0.66/0.86 exact (zenon_H1 zenon_H2). % 0.66/0.86 (* end of lemma zenon_L233_ *) % 0.66/0.86 assert (zenon_L234_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((hskp4)\/((hskp21)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H85 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H7 zenon_H5 zenon_H1 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H134 zenon_H192. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.66/0.86 apply (zenon_L4_); trivial. % 0.66/0.86 apply (zenon_L233_); trivial. % 0.66/0.86 apply (zenon_L209_); trivial. % 0.66/0.86 (* end of lemma zenon_L234_ *) % 0.66/0.86 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (~(hskp12)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c2 zenon_H130 zenon_H12e zenon_H7a. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H125 | zenon_intro zenon_H131 ]. % 0.66/0.86 apply (zenon_L113_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H12f | zenon_intro zenon_H7b ]. % 0.66/0.86 exact (zenon_H12e zenon_H12f). % 0.66/0.86 exact (zenon_H7a zenon_H7b). % 0.66/0.86 (* end of lemma zenon_L235_ *) % 0.66/0.86 assert (zenon_L236_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_H1c5 zenon_H130 zenon_H7a zenon_H12e zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H2f zenon_H32 zenon_H2d zenon_H5a zenon_Haa zenon_Hae. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L45_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L119_); trivial. % 0.66/0.86 apply (zenon_L235_); trivial. % 0.66/0.86 (* end of lemma zenon_L236_ *) % 0.66/0.86 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c6 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H1c5 zenon_H130 zenon_H7a zenon_H12e zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L111_); trivial. % 0.66/0.86 apply (zenon_L235_); trivial. % 0.66/0.86 apply (zenon_L236_); trivial. % 0.66/0.86 apply (zenon_L24_); trivial. % 0.66/0.86 (* end of lemma zenon_L237_ *) % 0.66/0.86 assert (zenon_L238_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp22)\/((hskp14)\/(hskp12))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1e0 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H1c5 zenon_H130 zenon_H12e zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81 zenon_H1f zenon_H7a zenon_H193. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.86 apply (zenon_L107_); trivial. % 0.66/0.86 apply (zenon_L237_); trivial. % 0.66/0.86 (* end of lemma zenon_L238_ *) % 0.66/0.86 assert (zenon_L239_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H85 zenon_H193 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_H98 zenon_H32 zenon_Haa zenon_Hae zenon_H1a7 zenon_H5a zenon_H2f zenon_H6e zenon_H12e zenon_H130 zenon_H1c5 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H61 zenon_H1e0 zenon_Hc4 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H10e zenon_H90 zenon_H17 zenon_He6 zenon_H1 zenon_H134 zenon_H136 zenon_He9 zenon_He8. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L238_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L28_); trivial. % 0.66/0.86 apply (zenon_L236_); trivial. % 0.66/0.86 apply (zenon_L24_); trivial. % 0.66/0.86 apply (zenon_L135_); trivial. % 0.66/0.86 apply (zenon_L61_); trivial. % 0.66/0.86 (* end of lemma zenon_L239_ *) % 0.66/0.86 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (~(hskp17)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c2 zenon_H155 zenon_H1b5 zenon_H52 zenon_H51 zenon_H53 zenon_H1b7 zenon_H235 zenon_H234 zenon_H233 zenon_H183 zenon_H184 zenon_H185. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L115_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 (* end of lemma zenon_L240_ *) % 0.66/0.86 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_H1c5 zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H235 zenon_H234 zenon_H233 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H2f zenon_H32 zenon_H2d zenon_H5a zenon_Haa zenon_Hae. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L45_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L119_); trivial. % 0.66/0.86 apply (zenon_L240_); trivial. % 0.66/0.86 (* end of lemma zenon_L241_ *) % 0.66/0.86 assert (zenon_L242_ : ((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c6 zenon_H61 zenon_H5d zenon_H4b zenon_H1c5 zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H235 zenon_H234 zenon_H233 zenon_H52 zenon_H51 zenon_H53 zenon_H1b5 zenon_H1b7 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L111_); trivial. % 0.66/0.86 apply (zenon_L240_); trivial. % 0.66/0.86 apply (zenon_L241_); trivial. % 0.66/0.86 apply (zenon_L24_); trivial. % 0.66/0.86 (* end of lemma zenon_L242_ *) % 0.66/0.86 assert (zenon_L243_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1dc zenon_H155 zenon_H4b zenon_H235 zenon_H234 zenon_H233 zenon_H183 zenon_H184 zenon_H185. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H112 | zenon_intro zenon_H156 ]. % 0.66/0.86 apply (zenon_L126_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H11d | zenon_intro zenon_H9b ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 (* end of lemma zenon_L243_ *) % 0.66/0.86 assert (zenon_L244_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1df zenon_H193 zenon_H7a zenon_H1f zenon_H81 zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H32 zenon_Haa zenon_Hae zenon_H1a7 zenon_H5a zenon_H2f zenon_H6e zenon_H1b7 zenon_H53 zenon_H51 zenon_H52 zenon_H233 zenon_H234 zenon_H235 zenon_H183 zenon_H184 zenon_H185 zenon_H155 zenon_H1c5 zenon_H4b zenon_H5d zenon_H61 zenon_H1e0. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.86 apply (zenon_L107_); trivial. % 0.66/0.86 apply (zenon_L242_); trivial. % 0.66/0.86 apply (zenon_L243_); trivial. % 0.66/0.86 (* end of lemma zenon_L244_ *) % 0.66/0.86 assert (zenon_L245_ : ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp26)) -> False). % 0.66/0.86 do 0 intro. intros zenon_Haa zenon_H185 zenon_H184 zenon_H183 zenon_Ha zenon_H5a zenon_H96. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H9b | zenon_intro zenon_Had ]. % 0.66/0.86 apply (zenon_L103_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H5b | zenon_intro zenon_H97 ]. % 0.66/0.86 exact (zenon_H5a zenon_H5b). % 0.66/0.86 exact (zenon_H96 zenon_H97). % 0.66/0.86 (* end of lemma zenon_L245_ *) % 0.66/0.86 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_H87 zenon_H88 zenon_H89 zenon_Hbe zenon_Hc4 zenon_H183 zenon_H184 zenon_H185 zenon_H5a zenon_Haa zenon_H2f zenon_H6e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L28_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L245_); trivial. % 0.66/0.86 apply (zenon_L49_); trivial. % 0.66/0.86 (* end of lemma zenon_L246_ *) % 0.66/0.86 assert (zenon_L247_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H85 zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_Hbe zenon_Hc4 zenon_H183 zenon_H184 zenon_H185 zenon_H5a zenon_Haa zenon_H2f zenon_H6e zenon_Ha zenon_H87 zenon_H88 zenon_H89 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L129_); trivial. % 0.66/0.86 apply (zenon_L246_); trivial. % 0.66/0.86 (* end of lemma zenon_L247_ *) % 0.66/0.86 assert (zenon_L248_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hea zenon_He9 zenon_H136 zenon_H134 zenon_H1 zenon_He6 zenon_H17 zenon_H90 zenon_H10e zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H61 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H6e zenon_H2f zenon_Haa zenon_H5a zenon_H185 zenon_H184 zenon_H183 zenon_Hc4 zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.66/0.86 apply (zenon_L247_); trivial. % 0.66/0.86 apply (zenon_L134_); trivial. % 0.66/0.86 (* end of lemma zenon_L248_ *) % 0.66/0.86 assert (zenon_L249_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hff zenon_Hc9 zenon_Hfd zenon_H53 zenon_H52 zenon_H51 zenon_H183 zenon_H184 zenon_H185 zenon_H5a zenon_Haa. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L245_); trivial. % 0.66/0.86 apply (zenon_L60_); trivial. % 0.66/0.86 (* end of lemma zenon_L249_ *) % 0.66/0.86 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> (~(hskp7)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c2 zenon_H1f2 zenon_H5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H125 | zenon_intro zenon_H6 ]. % 0.66/0.86 apply (zenon_L113_); trivial. % 0.66/0.86 exact (zenon_H5 zenon_H6). % 0.66/0.86 (* end of lemma zenon_L250_ *) % 0.66/0.86 assert (zenon_L251_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> (~(hskp7)) -> (~(c0_1 (a1048))) -> (~(c3_1 (a1048))) -> (c1_1 (a1048)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hc2 zenon_H1c5 zenon_H1f2 zenon_H5 zenon_H71 zenon_H72 zenon_H73 zenon_H1a7 zenon_H5a zenon_Hc0 zenon_Hc3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L119_); trivial. % 0.66/0.86 apply (zenon_L250_); trivial. % 0.66/0.86 (* end of lemma zenon_L251_ *) % 0.66/0.86 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H61 zenon_H220 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_H1a7 zenon_H5 zenon_H1f2 zenon_H1c5 zenon_Hc9 zenon_H81. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L28_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L45_); trivial. % 0.66/0.86 apply (zenon_L251_); trivial. % 0.66/0.86 apply (zenon_L205_); trivial. % 0.66/0.86 (* end of lemma zenon_L252_ *) % 0.66/0.86 assert (zenon_L253_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H85 zenon_H6e zenon_Hae zenon_Haa zenon_H98 zenon_Hc3 zenon_Hc0 zenon_H1a7 zenon_H1f2 zenon_H1c5 zenon_Hc9 zenon_H81 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H5a zenon_H5 zenon_H220 zenon_H61. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L206_); trivial. % 0.66/0.86 apply (zenon_L252_); trivial. % 0.66/0.86 (* end of lemma zenon_L253_ *) % 0.66/0.86 assert (zenon_L254_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (c3_1 (a1015)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp5)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H200 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H233 zenon_H234 zenon_H235 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H13c zenon_H1fe. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.66/0.86 apply (zenon_L58_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.86 apply (zenon_L137_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L26_); trivial. % 0.66/0.86 exact (zenon_H1fe zenon_H1ff). % 0.66/0.86 (* end of lemma zenon_L254_ *) % 0.66/0.86 assert (zenon_L255_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> (~(c3_1 (a1004))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hff zenon_He8 zenon_H1e4 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H61 zenon_H200 zenon_H1fe zenon_H4b zenon_H1e6 zenon_H1e5 zenon_H90 zenon_H92 zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L157_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.86 apply (zenon_L38_); trivial. % 0.66/0.86 apply (zenon_L254_); trivial. % 0.66/0.86 (* end of lemma zenon_L255_ *) % 0.66/0.86 assert (zenon_L256_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.86 do 0 intro. intros zenon_He8 zenon_He9 zenon_H157 zenon_H141 zenon_H145 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H110 zenon_H10e zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc4 zenon_H98 zenon_H233 zenon_H234 zenon_H235 zenon_H155 zenon_Hae zenon_H6e zenon_H136 zenon_H85 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L149_); trivial. % 0.66/0.86 apply (zenon_L226_); trivial. % 0.66/0.86 (* end of lemma zenon_L256_ *) % 0.66/0.86 assert (zenon_L257_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp17)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H13c zenon_H1b5 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H52 zenon_H53 zenon_H1b7 zenon_H235 zenon_H234 zenon_H233 zenon_Ha zenon_H63 zenon_H64 zenon_H65. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.86 apply (zenon_L139_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L26_); trivial. % 0.66/0.86 (* end of lemma zenon_L257_ *) % 0.66/0.86 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H1df zenon_H1f5 zenon_H5a zenon_H4b zenon_H89 zenon_H88 zenon_H87 zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H53 zenon_H52 zenon_H233 zenon_H234 zenon_H235 zenon_H13c. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.86 apply (zenon_L257_); trivial. % 0.66/0.86 apply (zenon_L145_); trivial. % 0.66/0.86 (* end of lemma zenon_L258_ *) % 0.66/0.86 assert (zenon_L259_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hff zenon_He8 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H163 zenon_H103 zenon_H104 zenon_H105 zenon_H132 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd zenon_H61 zenon_H200 zenon_H1fe zenon_H4b zenon_H1e6 zenon_H1e5 zenon_H90 zenon_H92 zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.86 apply (zenon_L157_); trivial. % 0.66/0.86 apply (zenon_L229_); trivial. % 0.66/0.86 (* end of lemma zenon_L259_ *) % 0.66/0.86 assert (zenon_L260_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c2_1 (a1033)) -> (c1_1 (a1033)) -> (c0_1 (a1033)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H86 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Ha zenon_H1b5. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.66/0.86 apply (zenon_L192_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.66/0.86 apply (zenon_L113_); trivial. % 0.66/0.86 exact (zenon_H1b5 zenon_H1b6). % 0.66/0.86 (* end of lemma zenon_L260_ *) % 0.66/0.86 assert (zenon_L261_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(hskp17)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp14)) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c2 zenon_H163 zenon_H1b5 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.66/0.86 apply (zenon_L260_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.66/0.86 apply (zenon_L116_); trivial. % 0.66/0.86 exact (zenon_H1f zenon_H20). % 0.66/0.86 (* end of lemma zenon_L261_ *) % 0.66/0.86 assert (zenon_L262_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp25)) -> (~(hskp3)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c2_1 (a1043))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H1c5 zenon_H163 zenon_H1f zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b5 zenon_H1b7 zenon_H6e zenon_H6c zenon_H2f zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H5a zenon_H1a7. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L111_); trivial. % 0.66/0.86 apply (zenon_L261_); trivial. % 0.66/0.86 (* end of lemma zenon_L262_ *) % 0.66/0.86 assert (zenon_L263_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c0_1 (a1048))) -> (~(c3_1 (a1048))) -> (c1_1 (a1048)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> False). % 0.66/0.86 do 0 intro. intros zenon_Hc2 zenon_H1c5 zenon_H163 zenon_H1f zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b5 zenon_H1b7 zenon_H71 zenon_H72 zenon_H73 zenon_H1a7 zenon_H5a zenon_Hc0 zenon_Hc3. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.66/0.86 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.86 apply (zenon_L119_); trivial. % 0.66/0.86 apply (zenon_L261_); trivial. % 0.66/0.86 (* end of lemma zenon_L263_ *) % 0.66/0.86 assert (zenon_L264_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a1043))) -> (~(c1_1 (a1043))) -> (c0_1 (a1043)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H81 zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H32 zenon_H2d zenon_Haa zenon_Hae zenon_H1a7 zenon_H5a zenon_Ha zenon_H197 zenon_H198 zenon_H199 zenon_H2f zenon_H6e zenon_H1b7 zenon_H1b5 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1f zenon_H163 zenon_H1c5. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.86 apply (zenon_L262_); trivial. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.86 apply (zenon_L45_); trivial. % 0.66/0.86 apply (zenon_L263_); trivial. % 0.66/0.86 (* end of lemma zenon_L264_ *) % 0.66/0.86 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp12)) -> (~(hskp9)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> False). % 0.66/0.86 do 0 intro. intros zenon_H82 zenon_H13c zenon_H7a zenon_H12e zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H130 zenon_H235 zenon_H234 zenon_H233. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.86 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.86 apply (zenon_L148_); trivial. % 0.66/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.86 apply (zenon_L207_); trivial. % 0.66/0.86 apply (zenon_L26_); trivial. % 0.66/0.86 (* end of lemma zenon_L265_ *) % 0.66/0.86 assert (zenon_L266_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(hskp12)) -> ((hskp22)\/((hskp14)\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H85 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H12e zenon_H130 zenon_H1e0 zenon_H61 zenon_H220 zenon_H5 zenon_H4b zenon_H1c5 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H98 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81 zenon_H7a zenon_H193 zenon_H1fa zenon_H1df. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.87 apply (zenon_L107_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.87 apply (zenon_L264_); trivial. % 0.66/0.87 apply (zenon_L205_); trivial. % 0.66/0.87 apply (zenon_L168_); trivial. % 0.66/0.87 apply (zenon_L265_); trivial. % 0.66/0.87 (* end of lemma zenon_L266_ *) % 0.66/0.87 assert (zenon_L267_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c2_1 (a1043))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1a7 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H62 zenon_H1a5 zenon_H5a. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Haf | zenon_intro zenon_H1a8 ]. % 0.66/0.87 apply (zenon_L108_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H5b ]. % 0.66/0.87 exact (zenon_H1a5 zenon_H1a6). % 0.66/0.87 exact (zenon_H5a zenon_H5b). % 0.66/0.87 (* end of lemma zenon_L267_ *) % 0.66/0.87 assert (zenon_L268_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp22)\/((hskp14)\/(hskp12))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1e0 zenon_H1c5 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1b5 zenon_H1b7 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H13c zenon_H5a zenon_H1a7 zenon_H235 zenon_H234 zenon_H233 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1fe zenon_H200 zenon_H1f zenon_H7a zenon_H193. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.87 apply (zenon_L107_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.66/0.87 apply (zenon_L58_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.66/0.87 apply (zenon_L137_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.66/0.87 apply (zenon_L207_); trivial. % 0.66/0.87 apply (zenon_L267_); trivial. % 0.66/0.87 exact (zenon_H1fe zenon_H1ff). % 0.66/0.87 apply (zenon_L261_); trivial. % 0.66/0.87 (* end of lemma zenon_L268_ *) % 0.66/0.87 assert (zenon_L269_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c3_1 (a1015)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hea zenon_H85 zenon_H200 zenon_H1fe zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L129_); trivial. % 0.66/0.87 apply (zenon_L254_); trivial. % 0.66/0.87 (* end of lemma zenon_L269_ *) % 0.66/0.87 assert (zenon_L270_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hff zenon_He8 zenon_H1df zenon_H4b zenon_H1fa zenon_H193 zenon_H200 zenon_H1fe zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H233 zenon_H234 zenon_H235 zenon_H1a7 zenon_H5a zenon_H13c zenon_H1b7 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H1c5 zenon_H1e0 zenon_H85. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_L268_); trivial. % 0.66/0.87 apply (zenon_L168_); trivial. % 0.66/0.87 apply (zenon_L254_); trivial. % 0.66/0.87 apply (zenon_L269_); trivial. % 0.66/0.87 (* end of lemma zenon_L270_ *) % 0.66/0.87 assert (zenon_L271_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1df zenon_H155 zenon_H235 zenon_H234 zenon_H233 zenon_H4b zenon_H193 zenon_H7a zenon_H1f zenon_H1c5 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Haa zenon_H185 zenon_H184 zenon_H183 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81 zenon_H1e0. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.87 apply (zenon_L107_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.87 apply (zenon_L262_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.87 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.87 apply (zenon_L245_); trivial. % 0.66/0.87 apply (zenon_L263_); trivial. % 0.66/0.87 apply (zenon_L243_); trivial. % 0.66/0.87 (* end of lemma zenon_L271_ *) % 0.66/0.87 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H82 zenon_H81 zenon_Hc9 zenon_H1c5 zenon_H1f2 zenon_H5 zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H183 zenon_H184 zenon_H185 zenon_H5a zenon_Haa zenon_H2f zenon_H6e. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.66/0.87 apply (zenon_L28_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.66/0.87 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.66/0.87 apply (zenon_L245_); trivial. % 0.66/0.87 apply (zenon_L251_); trivial. % 0.66/0.87 (* end of lemma zenon_L272_ *) % 0.66/0.87 assert (zenon_L273_ : ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1a7 zenon_Hce zenon_Hcd zenon_Hcb zenon_Ha zenon_H1a5 zenon_H5a. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Haf | zenon_intro zenon_H1a8 ]. % 0.66/0.87 apply (zenon_L214_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H5b ]. % 0.66/0.87 exact (zenon_H1a5 zenon_H1a6). % 0.66/0.87 exact (zenon_H5a zenon_H5b). % 0.66/0.87 (* end of lemma zenon_L273_ *) % 0.66/0.87 assert (zenon_L274_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a1023)) -> (~(c2_1 (a1023))) -> (~(c1_1 (a1023))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1df zenon_H4b zenon_H1fa zenon_H1a7 zenon_H5a zenon_Hce zenon_Hcd zenon_Hcb zenon_Ha zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1f zenon_H163 zenon_H1c5. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.66/0.87 apply (zenon_L273_); trivial. % 0.66/0.87 apply (zenon_L261_); trivial. % 0.66/0.87 apply (zenon_L168_); trivial. % 0.66/0.87 (* end of lemma zenon_L274_ *) % 0.66/0.87 assert (zenon_L275_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp7)) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(c2_1 (a1011))) -> (c0_1 (a1011)) -> (c1_1 (a1011)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hed zenon_H85 zenon_H81 zenon_Hc9 zenon_H1f2 zenon_H5 zenon_Hc0 zenon_Hc3 zenon_H183 zenon_H184 zenon_H185 zenon_Haa zenon_H2f zenon_H6e zenon_H1c5 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H5a zenon_H1a7 zenon_H1fa zenon_H4b zenon_H1df. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L274_); trivial. % 0.66/0.87 apply (zenon_L272_); trivial. % 0.66/0.87 (* end of lemma zenon_L275_ *) % 0.66/0.87 assert (zenon_L276_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c3_1 (a1015)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1df zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H4b zenon_H193 zenon_H7a zenon_H1f zenon_H200 zenon_H1fe zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H233 zenon_H234 zenon_H235 zenon_H1a7 zenon_H5a zenon_H13c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H1b7 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H1c5 zenon_H1e0. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_L268_); trivial. % 0.66/0.87 apply (zenon_L243_); trivial. % 0.66/0.87 (* end of lemma zenon_L276_ *) % 0.66/0.87 assert (zenon_L277_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1036))/\((c3_1 (a1036))/\(~(c2_1 (a1036))))))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp10)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.87 do 0 intro. intros zenon_He8 zenon_He9 zenon_H157 zenon_H141 zenon_H145 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H61 zenon_H110 zenon_H10e zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc4 zenon_H98 zenon_H233 zenon_H234 zenon_H235 zenon_H32 zenon_H155 zenon_Hae zenon_H2f zenon_H6e zenon_H4b zenon_H90 zenon_H92 zenon_H136 zenon_H85 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L149_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L129_); trivial. % 0.66/0.87 apply (zenon_L224_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L129_); trivial. % 0.66/0.87 apply (zenon_L225_); trivial. % 0.66/0.87 (* end of lemma zenon_L277_ *) % 0.66/0.87 assert (zenon_L278_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.66/0.87 do 0 intro. intros zenon_H125 zenon_Ha zenon_H70 zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.66/0.87 generalize (zenon_H125 (a1004)). zenon_intro zenon_H1e7. % 0.66/0.87 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e8 ]. % 0.66/0.87 exact (zenon_H9 zenon_Ha). % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 0.66/0.87 generalize (zenon_H70 (a1004)). zenon_intro zenon_H247. % 0.66/0.87 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H9 | zenon_intro zenon_H248 ]. % 0.66/0.87 exact (zenon_H9 zenon_Ha). % 0.66/0.87 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H1ee | zenon_intro zenon_H249 ]. % 0.66/0.87 exact (zenon_H1ea zenon_H1ee). % 0.66/0.87 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f1 ]. % 0.66/0.87 exact (zenon_H1e4 zenon_H1f0). % 0.66/0.87 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1ef ]. % 0.66/0.87 exact (zenon_H1f1 zenon_H1e6). % 0.66/0.87 exact (zenon_H1ef zenon_H1e5). % 0.66/0.87 (* end of lemma zenon_L278_ *) % 0.66/0.87 assert (zenon_L279_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.66/0.87 do 0 intro. intros zenon_H163 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Hde zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1f. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.66/0.87 apply (zenon_L192_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.66/0.87 apply (zenon_L116_); trivial. % 0.66/0.87 exact (zenon_H1f zenon_H20). % 0.66/0.87 (* end of lemma zenon_L279_ *) % 0.66/0.87 assert (zenon_L280_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H85 zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H12e zenon_H7a zenon_H130 zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_He2 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H105 zenon_H104 zenon_H103 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H1fe zenon_H200. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.66/0.87 apply (zenon_L58_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 0.66/0.87 apply (zenon_L278_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hde ]. % 0.66/0.87 apply (zenon_L63_); trivial. % 0.66/0.87 apply (zenon_L279_); trivial. % 0.66/0.87 exact (zenon_H1fe zenon_H1ff). % 0.66/0.87 apply (zenon_L265_); trivial. % 0.66/0.87 (* end of lemma zenon_L280_ *) % 0.66/0.87 assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((hskp22)\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((hskp29)\/((hskp3)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1df zenon_H1fa zenon_H193 zenon_H7a zenon_H1f zenon_H81 zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H98 zenon_H32 zenon_Haa zenon_Hae zenon_H1a7 zenon_H5a zenon_H2f zenon_H6e zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163 zenon_H1c5 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H61 zenon_H1e0. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.66/0.87 apply (zenon_L107_); trivial. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.87 apply (zenon_L264_); trivial. % 0.66/0.87 apply (zenon_L24_); trivial. % 0.66/0.87 apply (zenon_L168_); trivial. % 0.66/0.87 (* end of lemma zenon_L281_ *) % 0.66/0.87 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H82 zenon_H1df zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H4b zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H53 zenon_H52 zenon_H233 zenon_H234 zenon_H235 zenon_H13c. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.66/0.87 apply (zenon_L257_); trivial. % 0.66/0.87 apply (zenon_L243_); trivial. % 0.66/0.87 (* end of lemma zenon_L282_ *) % 0.66/0.87 assert (zenon_L283_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c1_1 (a1011)) -> (c0_1 (a1011)) -> (~(c2_1 (a1011))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hed zenon_H85 zenon_H155 zenon_H185 zenon_H184 zenon_H183 zenon_H53 zenon_H52 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H1c5 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H1b7 zenon_H5a zenon_H1a7 zenon_H1fa zenon_H4b zenon_H1df. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L274_); trivial. % 0.66/0.87 apply (zenon_L282_); trivial. % 0.66/0.87 (* end of lemma zenon_L283_ *) % 0.66/0.87 assert (zenon_L284_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H85 zenon_H81 zenon_H7d zenon_H7a zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H5a zenon_H5 zenon_H220 zenon_H61. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.66/0.87 apply (zenon_L206_); trivial. % 0.66/0.87 apply (zenon_L33_); trivial. % 0.66/0.87 (* end of lemma zenon_L284_ *) % 0.66/0.87 assert (zenon_L285_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.66/0.87 do 0 intro. intros zenon_H24a zenon_H20c zenon_H20b zenon_H20a zenon_H235 zenon_H234 zenon_H233 zenon_Ha zenon_H1b. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H209 | zenon_intro zenon_H24b ]. % 0.66/0.87 apply (zenon_L169_); trivial. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H11d | zenon_intro zenon_H1c ]. % 0.66/0.87 apply (zenon_L207_); trivial. % 0.66/0.87 exact (zenon_H1b zenon_H1c). % 0.66/0.87 (* end of lemma zenon_L285_ *) % 0.66/0.87 assert (zenon_L286_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp24)) -> (ndr1_0) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H36 zenon_H32 zenon_H2f zenon_H2d zenon_Ha zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.66/0.87 apply (zenon_L285_); trivial. % 0.66/0.87 apply (zenon_L17_); trivial. % 0.66/0.87 (* end of lemma zenon_L286_ *) % 0.66/0.87 assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hea zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H24a zenon_H235 zenon_H234 zenon_H233 zenon_H20c zenon_H20b zenon_H20a zenon_H2f zenon_H32 zenon_H36. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.66/0.87 apply (zenon_L286_); trivial. % 0.66/0.87 apply (zenon_L37_); trivial. % 0.66/0.87 (* end of lemma zenon_L287_ *) % 0.66/0.87 assert (zenon_L288_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (ndr1_0) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H36 zenon_H213 zenon_H103 zenon_H104 zenon_H105 zenon_H130 zenon_H7a zenon_H12e zenon_H1d zenon_H132 zenon_Ha zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.66/0.87 apply (zenon_L285_); trivial. % 0.66/0.87 apply (zenon_L196_); trivial. % 0.66/0.87 (* end of lemma zenon_L288_ *) % 0.66/0.87 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H1e1 zenon_H215 zenon_H136 zenon_H155 zenon_H10e zenon_H110 zenon_H36 zenon_H213 zenon_H130 zenon_H1d zenon_H132 zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a zenon_H32 zenon_H2f zenon_H4b zenon_H90 zenon_H92 zenon_H61 zenon_He8. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L288_); trivial. % 0.66/0.87 apply (zenon_L287_); trivial. % 0.66/0.87 apply (zenon_L213_); trivial. % 0.66/0.87 (* end of lemma zenon_L289_ *) % 0.66/0.87 assert (zenon_L290_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H223 zenon_H215 zenon_H136 zenon_H155 zenon_H10e zenon_H110 zenon_H213 zenon_H130 zenon_H132 zenon_H85 zenon_H81 zenon_H7d zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H5 zenon_H220 zenon_H61 zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a zenon_H90 zenon_H92 zenon_He8. % 0.66/0.87 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L284_); trivial. % 0.66/0.87 apply (zenon_L287_); trivial. % 0.66/0.87 apply (zenon_L289_); trivial. % 0.66/0.87 (* end of lemma zenon_L290_ *) % 0.66/0.87 assert (zenon_L291_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_He8 zenon_H92 zenon_H90 zenon_H24a zenon_H235 zenon_H234 zenon_H233 zenon_H20c zenon_H20b zenon_H20a zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L34_); trivial. % 0.66/0.87 apply (zenon_L287_); trivial. % 0.66/0.87 (* end of lemma zenon_L291_ *) % 0.66/0.87 assert (zenon_L292_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> False). % 0.66/0.87 do 0 intro. intros zenon_He8 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H24a zenon_H235 zenon_H234 zenon_H233 zenon_H20c zenon_H20b zenon_H20a zenon_H2f zenon_H32 zenon_H36 zenon_H130 zenon_H12e zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L149_); trivial. % 0.66/0.87 apply (zenon_L287_); trivial. % 0.66/0.87 (* end of lemma zenon_L292_ *) % 0.66/0.87 assert (zenon_L293_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.66/0.87 do 0 intro. intros zenon_Hff zenon_He8 zenon_H85 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H163 zenon_H213 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H20c zenon_H20b zenon_H20a zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.66/0.87 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L171_); trivial. % 0.66/0.87 apply (zenon_L229_); trivial. % 0.66/0.87 (* end of lemma zenon_L293_ *) % 0.66/0.87 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> False). % 0.66/0.87 do 0 intro. intros zenon_H226 zenon_He8 zenon_H61 zenon_H92 zenon_H90 zenon_H4b zenon_H24a zenon_H235 zenon_H234 zenon_H233 zenon_H2f zenon_H32 zenon_H36 zenon_H20a zenon_H20b zenon_H20c zenon_H213. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.66/0.87 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.66/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.66/0.87 apply (zenon_L173_); trivial. % 0.66/0.87 apply (zenon_L287_); trivial. % 0.66/0.87 (* end of lemma zenon_L294_ *) % 0.66/0.87 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(hskp4)) -> ((hskp4)\/((hskp21)\/(hskp7))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H226 zenon_H227 zenon_H223 zenon_H136 zenon_H10e zenon_H110 zenon_H61 zenon_H217 zenon_H218 zenon_H219 zenon_H5d zenon_H192 zenon_H134 zenon_H163 zenon_H1 zenon_H7 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H85. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_L234_); trivial. % 0.71/0.88 apply (zenon_L187_); trivial. % 0.71/0.88 (* end of lemma zenon_L295_ *) % 0.71/0.88 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1e1 zenon_H215 zenon_H136 zenon_H155 zenon_H235 zenon_H234 zenon_H233 zenon_H10e zenon_H110 zenon_H61 zenon_He8 zenon_H92 zenon_H90 zenon_H219 zenon_H218 zenon_H217 zenon_H130 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_He3 zenon_H1fe zenon_H200 zenon_H102. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.88 apply (zenon_L191_); trivial. % 0.71/0.88 apply (zenon_L213_); trivial. % 0.71/0.88 (* end of lemma zenon_L296_ *) % 0.71/0.88 assert (zenon_L297_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> (ndr1_0) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H223 zenon_H215 zenon_H136 zenon_H155 zenon_H235 zenon_H234 zenon_H233 zenon_H10e zenon_H110 zenon_H61 zenon_He8 zenon_H92 zenon_H90 zenon_H130 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_He3 zenon_H1fe zenon_H200 zenon_H102 zenon_Ha zenon_H217 zenon_H218 zenon_H219 zenon_H5 zenon_H220. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L186_); trivial. % 0.71/0.88 apply (zenon_L296_); trivial. % 0.71/0.88 (* end of lemma zenon_L297_ *) % 0.71/0.88 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1e1 zenon_H215 zenon_H136 zenon_H155 zenon_H10e zenon_H110 zenon_H61 zenon_H36 zenon_H213 zenon_H130 zenon_H1d zenon_H132 zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a zenon_H217 zenon_H218 zenon_H219 zenon_H90 zenon_H92 zenon_He8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.88 apply (zenon_L288_); trivial. % 0.71/0.88 apply (zenon_L184_); trivial. % 0.71/0.88 apply (zenon_L213_); trivial. % 0.71/0.88 (* end of lemma zenon_L298_ *) % 0.71/0.88 assert (zenon_L299_ : ((ndr1_0)/\((~(c1_1 (a1005)))/\((~(c2_1 (a1005)))/\(~(c3_1 (a1005)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a1011))/\((c1_1 (a1011))/\(~(c2_1 (a1011))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/((hskp9)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24c zenon_H24d zenon_H223 zenon_H215 zenon_H136 zenon_H155 zenon_H10e zenon_H110 zenon_H61 zenon_H36 zenon_H213 zenon_H130 zenon_H132 zenon_H233 zenon_H234 zenon_H235 zenon_H24a zenon_H90 zenon_H92 zenon_He8 zenon_H217 zenon_H218 zenon_H219 zenon_H220 zenon_H5d zenon_H227. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L186_); trivial. % 0.71/0.88 apply (zenon_L298_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L183_); trivial. % 0.71/0.88 apply (zenon_L298_); trivial. % 0.71/0.88 apply (zenon_L204_); trivial. % 0.71/0.88 (* end of lemma zenon_L299_ *) % 0.71/0.88 assert (zenon_L300_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H126 zenon_Ha zenon_H250 zenon_H251 zenon_H252. % 0.71/0.88 generalize (zenon_H126 (a1001)). zenon_intro zenon_H253. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H9 | zenon_intro zenon_H254 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H256 | zenon_intro zenon_H255 ]. % 0.71/0.88 exact (zenon_H250 zenon_H256). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.71/0.88 exact (zenon_H258 zenon_H251). % 0.71/0.88 exact (zenon_H257 zenon_H252). % 0.71/0.88 (* end of lemma zenon_L300_ *) % 0.71/0.88 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (~(hskp8)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hea zenon_H1f5 zenon_H252 zenon_H251 zenon_H250 zenon_H5a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H86 | zenon_intro zenon_H1f6 ]. % 0.71/0.88 apply (zenon_L35_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H126 | zenon_intro zenon_H5b ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 exact (zenon_H5a zenon_H5b). % 0.71/0.88 (* end of lemma zenon_L301_ *) % 0.71/0.88 assert (zenon_L302_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_H1f5 zenon_H252 zenon_H251 zenon_H250 zenon_H61 zenon_H220 zenon_H5 zenon_H5a zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.88 apply (zenon_L284_); trivial. % 0.71/0.88 apply (zenon_L301_); trivial. % 0.71/0.88 (* end of lemma zenon_L302_ *) % 0.71/0.88 assert (zenon_L303_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a1001))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H112 zenon_Ha zenon_H259 zenon_H250 zenon_H251. % 0.71/0.88 generalize (zenon_H112 (a1001)). zenon_intro zenon_H25a. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_H9 | zenon_intro zenon_H25b ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 0.71/0.88 exact (zenon_H259 zenon_H25d). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H256 | zenon_intro zenon_H258 ]. % 0.71/0.88 exact (zenon_H250 zenon_H256). % 0.71/0.88 exact (zenon_H258 zenon_H251). % 0.71/0.88 (* end of lemma zenon_L303_ *) % 0.71/0.88 assert (zenon_L304_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H112 zenon_H252 zenon_H251 zenon_H250 zenon_Ha zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 generalize (zenon_H11d (a1001)). zenon_intro zenon_H25e. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H9 | zenon_intro zenon_H25f ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H256 | zenon_intro zenon_H260 ]. % 0.71/0.88 exact (zenon_H250 zenon_H256). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ]. % 0.71/0.88 apply (zenon_L303_); trivial. % 0.71/0.88 exact (zenon_H258 zenon_H251). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L304_ *) % 0.71/0.88 assert (zenon_L305_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H105 zenon_H104 zenon_H103 zenon_H11c zenon_H252 zenon_H251 zenon_H250 zenon_Ha zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L68_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L305_ *) % 0.71/0.88 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp6)) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1e1 zenon_H134 zenon_H1d zenon_H250 zenon_H251 zenon_H252 zenon_H132 zenon_H1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.71/0.88 apply (zenon_L304_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.71/0.88 apply (zenon_L305_); trivial. % 0.71/0.88 exact (zenon_H1 zenon_H2). % 0.71/0.88 (* end of lemma zenon_L306_ *) % 0.71/0.88 assert (zenon_L307_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_H1f5 zenon_H252 zenon_H251 zenon_H250 zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.88 apply (zenon_L34_); trivial. % 0.71/0.88 apply (zenon_L301_); trivial. % 0.71/0.88 (* end of lemma zenon_L307_ *) % 0.71/0.88 assert (zenon_L308_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H227 zenon_H5d zenon_He8 zenon_H1f5 zenon_H252 zenon_H251 zenon_H250 zenon_H61 zenon_H220 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85 zenon_H132 zenon_H1 zenon_H134 zenon_H223. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L302_); trivial. % 0.71/0.88 apply (zenon_L306_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L307_); trivial. % 0.71/0.88 apply (zenon_L306_); trivial. % 0.71/0.88 (* end of lemma zenon_L308_ *) % 0.71/0.88 assert (zenon_L309_ : (forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a1041))) -> (c2_1 (a1041)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1f7 zenon_Ha zenon_Hd zenon_H112 zenon_Hc zenon_He. % 0.71/0.88 generalize (zenon_H1f7 (a1041)). zenon_intro zenon_H261. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H14 | zenon_intro zenon_H246 ]. % 0.71/0.88 exact (zenon_Hd zenon_H14). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H23f | zenon_intro zenon_H13 ]. % 0.71/0.88 apply (zenon_L231_); trivial. % 0.71/0.88 exact (zenon_H13 zenon_He). % 0.71/0.88 (* end of lemma zenon_L309_ *) % 0.71/0.88 assert (zenon_L310_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1041))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a1041))) -> (c2_1 (a1041)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_H252 zenon_H251 zenon_H250 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_Hd zenon_H112 zenon_Hc zenon_He. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 apply (zenon_L309_); trivial. % 0.71/0.88 (* end of lemma zenon_L310_ *) % 0.71/0.88 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H18f zenon_H134 zenon_H250 zenon_H251 zenon_H252 zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.71/0.88 apply (zenon_L310_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 exact (zenon_H1 zenon_H2). % 0.71/0.88 (* end of lemma zenon_L311_ *) % 0.71/0.88 assert (zenon_L312_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H23 zenon_Ha zenon_H112 zenon_H250 zenon_H251 zenon_H252. % 0.71/0.88 generalize (zenon_H23 (a1001)). zenon_intro zenon_H263. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H259 | zenon_intro zenon_H255 ]. % 0.71/0.88 apply (zenon_L303_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.71/0.88 exact (zenon_H258 zenon_H251). % 0.71/0.88 exact (zenon_H257 zenon_H252). % 0.71/0.88 (* end of lemma zenon_L312_ *) % 0.71/0.88 assert (zenon_L313_ : ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp3)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H32 zenon_H252 zenon_H251 zenon_H250 zenon_H112 zenon_Ha zenon_H2d zenon_H2f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H23 | zenon_intro zenon_H35 ]. % 0.71/0.88 apply (zenon_L312_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ]. % 0.71/0.88 exact (zenon_H2d zenon_H2e). % 0.71/0.88 exact (zenon_H2f zenon_H30). % 0.71/0.88 (* end of lemma zenon_L313_ *) % 0.71/0.88 assert (zenon_L314_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp3)) -> (~(hskp24)) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H134 zenon_H2f zenon_H2d zenon_H250 zenon_H251 zenon_H252 zenon_H32 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H112 | zenon_intro zenon_H135 ]. % 0.71/0.88 apply (zenon_L313_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H11c | zenon_intro zenon_H2 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 exact (zenon_H1 zenon_H2). % 0.71/0.88 (* end of lemma zenon_L314_ *) % 0.71/0.88 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H222 zenon_H223 zenon_H136 zenon_H10e zenon_H110 zenon_H134 zenon_H1 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H250 zenon_H251 zenon_H252 zenon_H2f zenon_H32 zenon_H4b zenon_H5d zenon_H61. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_L314_); trivial. % 0.71/0.88 apply (zenon_L24_); trivial. % 0.71/0.88 apply (zenon_L136_); trivial. % 0.71/0.88 (* end of lemma zenon_L315_ *) % 0.71/0.88 assert (zenon_L316_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_H252 zenon_H251 zenon_H250 zenon_H105 zenon_H104 zenon_H103 zenon_H11d zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L68_); trivial. % 0.71/0.88 apply (zenon_L150_); trivial. % 0.71/0.88 (* end of lemma zenon_L316_ *) % 0.71/0.88 assert (zenon_L317_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1e1 zenon_H132 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H1fa zenon_H252 zenon_H251 zenon_H250 zenon_H1d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L316_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L317_ *) % 0.71/0.88 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H226 zenon_H1fa zenon_H252 zenon_H251 zenon_H250 zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 apply (zenon_L150_); trivial. % 0.71/0.88 (* end of lemma zenon_L318_ *) % 0.71/0.88 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a1004))/\((c2_1 (a1004))/\(~(c3_1 (a1004)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H265 zenon_H24d zenon_H223 zenon_H132 zenon_H1fa zenon_H85 zenon_H81 zenon_H7d zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H21 zenon_H4b zenon_H220 zenon_H61 zenon_H250 zenon_H251 zenon_H252 zenon_H1f5 zenon_He8 zenon_H5d zenon_H227. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L302_); trivial. % 0.71/0.88 apply (zenon_L317_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L307_); trivial. % 0.71/0.88 apply (zenon_L317_); trivial. % 0.71/0.88 apply (zenon_L318_); trivial. % 0.71/0.88 (* end of lemma zenon_L319_ *) % 0.71/0.88 assert (zenon_L320_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (ndr1_0) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H227 zenon_H5d zenon_H220 zenon_H219 zenon_H218 zenon_H217 zenon_Ha zenon_H132 zenon_H1d zenon_H252 zenon_H251 zenon_H250 zenon_H1 zenon_H134 zenon_H223. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L186_); trivial. % 0.71/0.88 apply (zenon_L306_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L183_); trivial. % 0.71/0.88 apply (zenon_L306_); trivial. % 0.71/0.88 (* end of lemma zenon_L320_ *) % 0.71/0.88 assert (zenon_L321_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (ndr1_0) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H223 zenon_H132 zenon_H1d zenon_H250 zenon_H251 zenon_H252 zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1fa zenon_Ha zenon_H217 zenon_H218 zenon_H219 zenon_H5 zenon_H220. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L186_); trivial. % 0.71/0.88 apply (zenon_L317_); trivial. % 0.71/0.88 (* end of lemma zenon_L321_ *) % 0.71/0.88 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a1004))/\((c2_1 (a1004))/\(~(c3_1 (a1004)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H265 zenon_H24d zenon_H223 zenon_H132 zenon_H250 zenon_H251 zenon_H252 zenon_H1fa zenon_H217 zenon_H218 zenon_H219 zenon_H220 zenon_H5d zenon_H227. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.88 apply (zenon_L321_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.88 apply (zenon_L183_); trivial. % 0.71/0.88 apply (zenon_L317_); trivial. % 0.71/0.88 apply (zenon_L318_); trivial. % 0.71/0.88 (* end of lemma zenon_L322_ *) % 0.71/0.88 assert (zenon_L323_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hde zenon_Ha zenon_H268 zenon_H269 zenon_H26a. % 0.71/0.88 generalize (zenon_Hde (a1000)). zenon_intro zenon_H26b. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26c ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26e | zenon_intro zenon_H26d ]. % 0.71/0.88 exact (zenon_H268 zenon_H26e). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H270 | zenon_intro zenon_H26f ]. % 0.71/0.88 exact (zenon_H270 zenon_H269). % 0.71/0.88 exact (zenon_H26f zenon_H26a). % 0.71/0.88 (* end of lemma zenon_L323_ *) % 0.71/0.88 assert (zenon_L324_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a1000))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H165 zenon_Ha zenon_H271 zenon_H268 zenon_H269. % 0.71/0.88 generalize (zenon_H165 (a1000)). zenon_intro zenon_H272. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.71/0.88 exact (zenon_H271 zenon_H275). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H26e | zenon_intro zenon_H270 ]. % 0.71/0.88 exact (zenon_H268 zenon_H26e). % 0.71/0.88 exact (zenon_H270 zenon_H269). % 0.71/0.88 (* end of lemma zenon_L324_ *) % 0.71/0.88 assert (zenon_L325_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1000)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(c3_1 (a1000))) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H125 zenon_Ha zenon_H269 zenon_H165 zenon_H268 zenon_H26a. % 0.71/0.88 generalize (zenon_H125 (a1000)). zenon_intro zenon_H276. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H270 | zenon_intro zenon_H278 ]. % 0.71/0.88 exact (zenon_H270 zenon_H269). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H271 | zenon_intro zenon_H26f ]. % 0.71/0.88 apply (zenon_L324_); trivial. % 0.71/0.88 exact (zenon_H26f zenon_H26a). % 0.71/0.88 (* end of lemma zenon_L325_ *) % 0.71/0.88 assert (zenon_L326_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1b7 zenon_H26a zenon_H268 zenon_H165 zenon_H269 zenon_Ha zenon_H1b5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.88 apply (zenon_L325_); trivial. % 0.71/0.88 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.88 (* end of lemma zenon_L326_ *) % 0.71/0.88 assert (zenon_L327_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp26)) -> (~(hskp8)) -> (~(hskp24)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hae zenon_Haa zenon_H96 zenon_H5a zenon_H2d zenon_H2f zenon_H32 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_H3 zenon_H279. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H165 | zenon_intro zenon_H27a ]. % 0.71/0.88 apply (zenon_L326_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H95 | zenon_intro zenon_H4 ]. % 0.71/0.88 exact (zenon_H94 zenon_H95). % 0.71/0.88 exact (zenon_H3 zenon_H4). % 0.71/0.88 apply (zenon_L44_); trivial. % 0.71/0.88 (* end of lemma zenon_L327_ *) % 0.71/0.88 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp17)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c2 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1b5. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Ha. zenon_intro zenon_H1c3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1ac. zenon_intro zenon_H1c4. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1ad. zenon_intro zenon_H1ae. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.88 apply (zenon_L113_); trivial. % 0.71/0.88 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.88 (* end of lemma zenon_L328_ *) % 0.71/0.88 assert (zenon_L329_ : ((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c0_1 (a1048))) -> (~(c3_1 (a1048))) -> (c1_1 (a1048)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hc2 zenon_H1c5 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_H71 zenon_H72 zenon_H73 zenon_H1a7 zenon_H5a zenon_Hc0 zenon_Hc3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Ha. zenon_intro zenon_Hc5. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb1. zenon_intro zenon_Hc6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hb0. zenon_intro zenon_Hb2. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.71/0.88 apply (zenon_L119_); trivial. % 0.71/0.88 apply (zenon_L328_); trivial. % 0.71/0.88 (* end of lemma zenon_L329_ *) % 0.71/0.88 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_H1c5 zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H279 zenon_H3 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_H32 zenon_H2f zenon_H2d zenon_H5a zenon_Haa zenon_Hae. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.71/0.88 apply (zenon_L327_); trivial. % 0.71/0.88 apply (zenon_L329_); trivial. % 0.71/0.88 (* end of lemma zenon_L330_ *) % 0.71/0.88 assert (zenon_L331_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (c0_1 (a1025)) -> (~(c3_1 (a1025))) -> (~(c2_1 (a1025))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_H65 zenon_H64 zenon_H63 zenon_Ha zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_H3 zenon_H279 zenon_Hc3 zenon_Hc0 zenon_H1a7 zenon_H1c5 zenon_Hc9 zenon_H81. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.88 apply (zenon_L28_); trivial. % 0.71/0.88 apply (zenon_L330_); trivial. % 0.71/0.88 apply (zenon_L24_); trivial. % 0.71/0.88 (* end of lemma zenon_L331_ *) % 0.71/0.88 assert (zenon_L332_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H192 zenon_H19 zenon_H17 zenon_H15 zenon_H81 zenon_Hc9 zenon_H1c5 zenon_H1a7 zenon_Hc0 zenon_Hc3 zenon_H279 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_H32 zenon_H5a zenon_Haa zenon_Hae zenon_Ha zenon_H63 zenon_H64 zenon_H65 zenon_H2f zenon_H6e zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H61. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.88 apply (zenon_L331_); trivial. % 0.71/0.88 apply (zenon_L105_); trivial. % 0.71/0.88 (* end of lemma zenon_L332_ *) % 0.71/0.88 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H82 zenon_H1df zenon_H1f5 zenon_H89 zenon_H88 zenon_H87 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H279 zenon_Hc3 zenon_Hc0 zenon_H1a7 zenon_H1c5 zenon_Hc9 zenon_H81 zenon_H15 zenon_H17 zenon_H19 zenon_H192. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.88 apply (zenon_L332_); trivial. % 0.71/0.88 apply (zenon_L145_); trivial. % 0.71/0.88 (* end of lemma zenon_L333_ *) % 0.71/0.88 assert (zenon_L334_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1f5 zenon_H89 zenon_H88 zenon_H87 zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_Ha zenon_H5a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H86 | zenon_intro zenon_H1f6 ]. % 0.71/0.88 apply (zenon_L35_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H126 | zenon_intro zenon_H5b ]. % 0.71/0.88 apply (zenon_L90_); trivial. % 0.71/0.88 exact (zenon_H5a zenon_H5b). % 0.71/0.88 (* end of lemma zenon_L334_ *) % 0.71/0.88 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(hskp8)) -> (~(c1_1 (a1015))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hea zenon_Hfd zenon_H5a zenon_Hf2 zenon_Hf1 zenon_Hf3 zenon_H1f5 zenon_H51 zenon_H52 zenon_H53. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.71/0.88 apply (zenon_L58_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.71/0.88 apply (zenon_L334_); trivial. % 0.71/0.88 apply (zenon_L22_); trivial. % 0.71/0.88 (* end of lemma zenon_L335_ *) % 0.71/0.88 assert (zenon_L336_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hff zenon_He8 zenon_Hfd zenon_H1f5 zenon_H61 zenon_H5d zenon_H5a zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.88 apply (zenon_L34_); trivial. % 0.71/0.88 apply (zenon_L335_); trivial. % 0.71/0.88 (* end of lemma zenon_L336_ *) % 0.71/0.88 assert (zenon_L337_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H102 zenon_Hfd zenon_H85 zenon_H81 zenon_H7d zenon_H6e zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H51 zenon_H52 zenon_H53 zenon_H5a zenon_H5d zenon_H61 zenon_H192 zenon_H19 zenon_H17 zenon_H15 zenon_Hc9 zenon_H1c5 zenon_H1a7 zenon_Hc3 zenon_H279 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_Haa zenon_Hae zenon_H1f5 zenon_H1df zenon_He8. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.88 apply (zenon_L34_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.88 apply (zenon_L25_); trivial. % 0.71/0.88 apply (zenon_L333_); trivial. % 0.71/0.88 apply (zenon_L336_); trivial. % 0.71/0.88 (* end of lemma zenon_L337_ *) % 0.71/0.88 assert (zenon_L338_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c3_1 (a1029)) -> (c2_1 (a1029)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c0_1 (a1029)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H26 zenon_H25 zenon_H126 zenon_H24 zenon_Ha zenon_H1b5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.88 apply (zenon_L69_); trivial. % 0.71/0.88 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.88 (* end of lemma zenon_L338_ *) % 0.71/0.88 assert (zenon_L339_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c1_1 (a1008))) -> (~(hskp17)) -> (ndr1_0) -> (c0_1 (a1029)) -> (c2_1 (a1029)) -> (c3_1 (a1029)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H53 zenon_H52 zenon_Hb zenon_H51 zenon_H1b5 zenon_Ha zenon_H24 zenon_H25 zenon_H26 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L75_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L338_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L339_ *) % 0.71/0.88 assert (zenon_L340_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c1_1 (a1008))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H53 zenon_H52 zenon_Hb zenon_H51 zenon_H1d2 zenon_H1cb zenon_H42 zenon_Ha zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L75_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L340_ *) % 0.71/0.88 assert (zenon_L341_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1032))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(c1_1 (a1008))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H4b zenon_H1c9 zenon_H132 zenon_H53 zenon_H52 zenon_Hb zenon_H51 zenon_H1d2 zenon_H1cb zenon_Ha zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L75_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L142_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.88 apply (zenon_L124_); trivial. % 0.71/0.88 apply (zenon_L340_); trivial. % 0.71/0.88 (* end of lemma zenon_L341_ *) % 0.71/0.88 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp6)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(hskp11)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1dc zenon_He3 zenon_H1d zenon_H51 zenon_H52 zenon_H53 zenon_H132 zenon_H4b zenon_H105 zenon_H104 zenon_H103 zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.71/0.88 apply (zenon_L341_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.71/0.88 apply (zenon_L63_); trivial. % 0.71/0.88 exact (zenon_Hc0 zenon_Hc1). % 0.71/0.88 (* end of lemma zenon_L342_ *) % 0.71/0.88 assert (zenon_L343_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1df zenon_H4b zenon_H21 zenon_H1f zenon_H1d zenon_H132 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H53 zenon_H52 zenon_H51 zenon_H103 zenon_H104 zenon_H105 zenon_Hc0 zenon_He3 zenon_H36. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.71/0.88 apply (zenon_L13_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.71/0.88 apply (zenon_L339_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.71/0.88 apply (zenon_L63_); trivial. % 0.71/0.88 exact (zenon_Hc0 zenon_Hc1). % 0.71/0.88 apply (zenon_L342_); trivial. % 0.71/0.88 (* end of lemma zenon_L343_ *) % 0.71/0.88 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H7c zenon_He2 zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 0.71/0.88 apply (zenon_L29_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hde ]. % 0.71/0.88 apply (zenon_L63_); trivial. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 (* end of lemma zenon_L344_ *) % 0.71/0.88 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H82 zenon_H81 zenon_He2 zenon_H26a zenon_H269 zenon_H268 zenon_H105 zenon_H104 zenon_H103 zenon_H2f zenon_H6e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.88 apply (zenon_L28_); trivial. % 0.71/0.88 apply (zenon_L344_); trivial. % 0.71/0.88 (* end of lemma zenon_L345_ *) % 0.71/0.88 assert (zenon_L346_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H85 zenon_H81 zenon_He2 zenon_H2f zenon_H6e zenon_H36 zenon_He3 zenon_Hc0 zenon_H105 zenon_H104 zenon_H103 zenon_H51 zenon_H52 zenon_H53 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H132 zenon_H1d zenon_H21 zenon_H4b zenon_H1df. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.88 apply (zenon_L343_); trivial. % 0.71/0.88 apply (zenon_L345_); trivial. % 0.71/0.88 (* end of lemma zenon_L346_ *) % 0.71/0.88 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp17)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H5c zenon_H27b zenon_H4b zenon_H1b5 zenon_H269 zenon_H268 zenon_H26a zenon_H1b7 zenon_H1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.88 apply (zenon_L21_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.88 apply (zenon_L326_); trivial. % 0.71/0.88 exact (zenon_H1 zenon_H2). % 0.71/0.88 (* end of lemma zenon_L347_ *) % 0.71/0.88 assert (zenon_L348_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H61 zenon_H27b zenon_H1 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_H4b zenon_H21 zenon_H1f zenon_H1d zenon_H2f zenon_H32 zenon_H36. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_L18_); trivial. % 0.71/0.88 apply (zenon_L347_); trivial. % 0.71/0.88 (* end of lemma zenon_L348_ *) % 0.71/0.88 assert (zenon_L349_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp6)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1dc zenon_H19 zenon_H1d zenon_H51 zenon_H52 zenon_H53 zenon_H132 zenon_H4b zenon_H15 zenon_H17. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.71/0.88 apply (zenon_L341_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.71/0.88 exact (zenon_H15 zenon_H16). % 0.71/0.88 exact (zenon_H17 zenon_H18). % 0.71/0.88 (* end of lemma zenon_L349_ *) % 0.71/0.88 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hea zenon_H85 zenon_H81 zenon_He2 zenon_H26a zenon_H269 zenon_H268 zenon_H2f zenon_H6e zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H163 zenon_H103 zenon_H104 zenon_H105 zenon_H1d zenon_H132 zenon_H51 zenon_H52 zenon_H53 zenon_Hfd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.88 apply (zenon_L93_); trivial. % 0.71/0.88 apply (zenon_L345_); trivial. % 0.71/0.88 (* end of lemma zenon_L350_ *) % 0.71/0.88 assert (zenon_L351_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp25)) -> (~(hskp3)) -> (c0_1 (a1043)) -> (~(c1_1 (a1043))) -> (~(c2_1 (a1043))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c5 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_H6e zenon_H6c zenon_H2f zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H5a zenon_H1a7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.71/0.88 apply (zenon_L111_); trivial. % 0.71/0.88 apply (zenon_L328_); trivial. % 0.71/0.88 (* end of lemma zenon_L351_ *) % 0.71/0.88 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp21)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c6 zenon_H61 zenon_H27b zenon_H1 zenon_H4b zenon_H1c5 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H3 zenon_H279 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H1c8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.88 apply (zenon_L351_); trivial. % 0.71/0.88 apply (zenon_L330_); trivial. % 0.71/0.88 apply (zenon_L347_); trivial. % 0.71/0.88 (* end of lemma zenon_L352_ *) % 0.71/0.88 assert (zenon_L353_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a1043))/\((~(c1_1 (a1043)))/\(~(c2_1 (a1043))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp22)\/((hskp14)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1df zenon_H1e0 zenon_H61 zenon_H27b zenon_H1 zenon_H4b zenon_H1c5 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H6e zenon_H2f zenon_H5a zenon_H1a7 zenon_Hae zenon_Haa zenon_H32 zenon_H279 zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H81 zenon_H1f zenon_H7a zenon_H193 zenon_H163 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H134 zenon_H192. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1c6 ]. % 0.71/0.88 apply (zenon_L107_); trivial. % 0.71/0.88 apply (zenon_L352_); trivial. % 0.71/0.88 apply (zenon_L233_); trivial. % 0.71/0.88 apply (zenon_L127_); trivial. % 0.71/0.88 (* end of lemma zenon_L353_ *) % 0.71/0.88 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hea zenon_H85 zenon_H1df zenon_H1f5 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H279 zenon_Hc3 zenon_Hc0 zenon_H1a7 zenon_H1c5 zenon_Hc9 zenon_H81 zenon_H15 zenon_H17 zenon_H19 zenon_H192 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H163. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.88 apply (zenon_L129_); trivial. % 0.71/0.88 apply (zenon_L333_); trivial. % 0.71/0.88 (* end of lemma zenon_L354_ *) % 0.71/0.88 assert (zenon_L355_ : (forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1f7 zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.88 generalize (zenon_H1f7 (a1000)). zenon_intro zenon_H27d. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H26e | zenon_intro zenon_H278 ]. % 0.71/0.88 exact (zenon_H268 zenon_H26e). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H271 | zenon_intro zenon_H26f ]. % 0.71/0.88 apply (zenon_L324_); trivial. % 0.71/0.88 exact (zenon_H26f zenon_H26a). % 0.71/0.88 (* end of lemma zenon_L355_ *) % 0.71/0.88 assert (zenon_L356_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c1_1 (a1015))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_Hf3 zenon_Hf1 zenon_Hfa zenon_Hf2 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L90_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 apply (zenon_L355_); trivial. % 0.71/0.88 (* end of lemma zenon_L356_ *) % 0.71/0.88 assert (zenon_L357_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(c1_1 (a1015))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H279 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_H1b9 zenon_H1ba zenon_H1bb zenon_Hf2 zenon_Hfa zenon_Hf1 zenon_Hf3 zenon_H1fa zenon_H94 zenon_H3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H165 | zenon_intro zenon_H27a ]. % 0.71/0.88 apply (zenon_L356_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H95 | zenon_intro zenon_H4 ]. % 0.71/0.88 exact (zenon_H94 zenon_H95). % 0.71/0.88 exact (zenon_H3 zenon_H4). % 0.71/0.88 (* end of lemma zenon_L357_ *) % 0.71/0.88 assert (zenon_L358_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (~(hskp21)) -> (~(hskp29)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1015)) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hfd zenon_H3 zenon_H94 zenon_H1fa zenon_Hf3 zenon_Hf1 zenon_Hf2 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H268 zenon_H269 zenon_H26a zenon_H279 zenon_Ha zenon_H51 zenon_H52 zenon_H53. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfe ]. % 0.71/0.88 apply (zenon_L58_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.71/0.88 apply (zenon_L357_); trivial. % 0.71/0.88 apply (zenon_L22_); trivial. % 0.71/0.88 (* end of lemma zenon_L358_ *) % 0.71/0.88 assert (zenon_L359_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a1015))) -> (~(c1_1 (a1015))) -> (c3_1 (a1015)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H61 zenon_H27b zenon_H1 zenon_H1b5 zenon_H1b7 zenon_H4b zenon_Hae zenon_Haa zenon_H5a zenon_H2f zenon_H32 zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H279 zenon_H3 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H268 zenon_H269 zenon_H26a zenon_H1fa zenon_H51 zenon_H52 zenon_H53 zenon_Hfd zenon_Hc9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.71/0.88 apply (zenon_L358_); trivial. % 0.71/0.88 apply (zenon_L44_); trivial. % 0.71/0.88 apply (zenon_L60_); trivial. % 0.71/0.88 apply (zenon_L347_); trivial. % 0.71/0.88 (* end of lemma zenon_L359_ *) % 0.71/0.88 assert (zenon_L360_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H61 zenon_H27b zenon_H1 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_H4b zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_H10c zenon_H10e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_L65_); trivial. % 0.71/0.88 apply (zenon_L347_); trivial. % 0.71/0.88 (* end of lemma zenon_L360_ *) % 0.71/0.88 assert (zenon_L361_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H42 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 apply (zenon_L355_); trivial. % 0.71/0.88 (* end of lemma zenon_L361_ *) % 0.71/0.88 assert (zenon_L362_ : ((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(c0_1 (a1032))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H5c zenon_H27b zenon_H26a zenon_H269 zenon_H268 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H1c9 zenon_H4b zenon_H1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.88 apply (zenon_L21_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.88 apply (zenon_L19_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.88 apply (zenon_L124_); trivial. % 0.71/0.88 apply (zenon_L361_); trivial. % 0.71/0.88 exact (zenon_H1 zenon_H2). % 0.71/0.88 (* end of lemma zenon_L362_ *) % 0.71/0.88 assert (zenon_L363_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp4)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1df zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H10e zenon_H10c zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H4b zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1 zenon_H27b zenon_H61. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.88 apply (zenon_L360_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.88 apply (zenon_L65_); trivial. % 0.71/0.88 apply (zenon_L362_); trivial. % 0.71/0.88 (* end of lemma zenon_L363_ *) % 0.71/0.88 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1026))/\((~(c0_1 (a1026)))/\(~(c1_1 (a1026))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/((hskp24)\/(hskp15))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1e1 zenon_H136 zenon_H134 zenon_H61 zenon_H27b zenon_H1 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H4b zenon_H10e zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_H1df. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.71/0.88 apply (zenon_L363_); trivial. % 0.71/0.88 apply (zenon_L133_); trivial. % 0.71/0.88 (* end of lemma zenon_L364_ *) % 0.71/0.88 assert (zenon_L365_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_Hb zenon_Ha zenon_H1b5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.88 apply (zenon_L137_); trivial. % 0.71/0.88 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.88 (* end of lemma zenon_L365_ *) % 0.71/0.88 assert (zenon_L366_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H19 zenon_H1b5 zenon_Ha zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H15 zenon_H17. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.71/0.88 apply (zenon_L365_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.71/0.88 exact (zenon_H15 zenon_H16). % 0.71/0.88 exact (zenon_H17 zenon_H18). % 0.71/0.88 (* end of lemma zenon_L366_ *) % 0.71/0.88 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hea zenon_H1df zenon_H1f5 zenon_H5a zenon_H4b zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_H15 zenon_H17 zenon_H19. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.88 apply (zenon_L366_); trivial. % 0.71/0.88 apply (zenon_L145_); trivial. % 0.71/0.88 (* end of lemma zenon_L367_ *) % 0.71/0.88 assert (zenon_L368_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H70 zenon_Ha zenon_H1b5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.88 apply (zenon_L278_); trivial. % 0.71/0.88 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.88 (* end of lemma zenon_L368_ *) % 0.71/0.88 assert (zenon_L369_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(hskp17)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_He2 zenon_H1b5 zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1b7 zenon_H105 zenon_H104 zenon_H103 zenon_Ha zenon_H268 zenon_H269 zenon_H26a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 0.71/0.88 apply (zenon_L368_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hde ]. % 0.71/0.88 apply (zenon_L63_); trivial. % 0.71/0.88 apply (zenon_L323_); trivial. % 0.71/0.88 (* end of lemma zenon_L369_ *) % 0.71/0.88 assert (zenon_L370_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (ndr1_0) -> (~(c0_1 (a1032))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H26a zenon_H269 zenon_H165 zenon_H268 zenon_H103 zenon_H104 zenon_H105 zenon_H37 zenon_H1fa zenon_H1d2 zenon_H1cb zenon_Ha zenon_H1c9 zenon_H4b zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L142_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L68_); trivial. % 0.71/0.88 apply (zenon_L355_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L144_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L370_ *) % 0.71/0.88 assert (zenon_L371_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H42 zenon_H105 zenon_H104 zenon_H103 zenon_H11d zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L68_); trivial. % 0.71/0.88 apply (zenon_L355_); trivial. % 0.71/0.88 (* end of lemma zenon_L371_ *) % 0.71/0.88 assert (zenon_L372_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H132 zenon_H26a zenon_H269 zenon_H165 zenon_H268 zenon_H103 zenon_H104 zenon_H105 zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H42 zenon_Ha zenon_H1d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.88 apply (zenon_L371_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 exact (zenon_H1d zenon_H1e). % 0.71/0.88 (* end of lemma zenon_L372_ *) % 0.71/0.88 assert (zenon_L373_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp6)) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H279 zenon_H1d zenon_Ha zenon_H42 zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a zenon_H132 zenon_H94 zenon_H3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H165 | zenon_intro zenon_H27a ]. % 0.71/0.88 apply (zenon_L372_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H95 | zenon_intro zenon_H4 ]. % 0.71/0.88 exact (zenon_H94 zenon_H95). % 0.71/0.88 exact (zenon_H3 zenon_H4). % 0.71/0.88 (* end of lemma zenon_L373_ *) % 0.71/0.88 assert (zenon_L374_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1032))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp6)) -> (ndr1_0) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H4b zenon_H1c9 zenon_H279 zenon_H1d zenon_Ha zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a zenon_H132 zenon_H94 zenon_H3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H165 | zenon_intro zenon_H27a ]. % 0.71/0.88 apply (zenon_L370_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H95 | zenon_intro zenon_H4 ]. % 0.71/0.88 exact (zenon_H94 zenon_H95). % 0.71/0.88 exact (zenon_H3 zenon_H4). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.88 apply (zenon_L124_); trivial. % 0.71/0.88 apply (zenon_L373_); trivial. % 0.71/0.88 (* end of lemma zenon_L374_ *) % 0.71/0.88 assert (zenon_L375_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (c0_1 (a1040)) -> (c3_1 (a1040)) -> (c1_1 (a1040)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H9a zenon_H9d zenon_H9c zenon_H42 zenon_Ha zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.88 apply (zenon_L161_); trivial. % 0.71/0.88 apply (zenon_L150_); trivial. % 0.71/0.88 (* end of lemma zenon_L375_ *) % 0.71/0.88 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1e1 zenon_H1df zenon_H192 zenon_H19 zenon_H17 zenon_H15 zenon_H132 zenon_H1d zenon_H4b zenon_H1fa zenon_H279 zenon_Hae zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_He2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L369_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.71/0.89 apply (zenon_L374_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.89 apply (zenon_L194_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.89 apply (zenon_L142_); trivial. % 0.71/0.89 exact (zenon_H1d zenon_H1e). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L375_); trivial. % 0.71/0.89 apply (zenon_L105_); trivial. % 0.71/0.89 (* end of lemma zenon_L376_ *) % 0.71/0.89 assert (zenon_L377_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((hskp6)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H227 zenon_H5d zenon_He8 zenon_H1df zenon_H1f5 zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_H15 zenon_H17 zenon_H19 zenon_H61 zenon_H220 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H6e zenon_H7d zenon_H81 zenon_H85 zenon_He2 zenon_Hae zenon_H279 zenon_H1fa zenon_H132 zenon_H192 zenon_H223. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.89 apply (zenon_L284_); trivial. % 0.71/0.89 apply (zenon_L367_); trivial. % 0.71/0.89 apply (zenon_L376_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.89 apply (zenon_L34_); trivial. % 0.71/0.89 apply (zenon_L367_); trivial. % 0.71/0.89 apply (zenon_L376_); trivial. % 0.71/0.89 (* end of lemma zenon_L377_ *) % 0.71/0.89 assert (zenon_L378_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(hskp17)) -> (ndr1_0) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp4)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27b zenon_H219 zenon_H218 zenon_H217 zenon_H1b5 zenon_Ha zenon_H269 zenon_H268 zenon_H26a zenon_H1b7 zenon_H1. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.89 apply (zenon_L182_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.89 apply (zenon_L326_); trivial. % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 (* end of lemma zenon_L378_ *) % 0.71/0.89 assert (zenon_L379_ : ((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp4)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H222 zenon_H1df zenon_H19 zenon_H17 zenon_H15 zenon_H132 zenon_H1d zenon_H4b zenon_H217 zenon_H218 zenon_H219 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1 zenon_H27b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L378_); trivial. % 0.71/0.89 apply (zenon_L349_); trivial. % 0.71/0.89 (* end of lemma zenon_L379_ *) % 0.71/0.89 assert (zenon_L380_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1032))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H4b zenon_H1c9 zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.89 apply (zenon_L142_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.89 apply (zenon_L116_); trivial. % 0.71/0.89 apply (zenon_L355_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L361_); trivial. % 0.71/0.89 (* end of lemma zenon_L380_ *) % 0.71/0.89 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp4)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1dc zenon_H27b zenon_H219 zenon_H218 zenon_H217 zenon_H26a zenon_H269 zenon_H268 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_H4b zenon_H1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.89 apply (zenon_L182_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.89 apply (zenon_L380_); trivial. % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 (* end of lemma zenon_L381_ *) % 0.71/0.89 assert (zenon_L382_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp4)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H226 zenon_H1df zenon_H1fa zenon_H4b zenon_H217 zenon_H218 zenon_H219 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1 zenon_H27b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L378_); trivial. % 0.71/0.89 apply (zenon_L381_); trivial. % 0.71/0.89 (* end of lemma zenon_L382_ *) % 0.71/0.89 assert (zenon_L383_ : ((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp2)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H222 zenon_H223 zenon_H1df zenon_H19 zenon_H17 zenon_H15 zenon_H132 zenon_H1d zenon_H4b zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_He2 zenon_H217 zenon_H218 zenon_H219 zenon_H5d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.89 apply (zenon_L183_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L369_); trivial. % 0.71/0.89 apply (zenon_L349_); trivial. % 0.71/0.89 (* end of lemma zenon_L383_ *) % 0.71/0.89 assert (zenon_L384_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp29)) -> (~(hskp21)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H279 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H42 zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H94 zenon_H3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H165 | zenon_intro zenon_H27a ]. % 0.71/0.89 apply (zenon_L361_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H95 | zenon_intro zenon_H4 ]. % 0.71/0.89 exact (zenon_H94 zenon_H95). % 0.71/0.89 exact (zenon_H3 zenon_H4). % 0.71/0.89 (* end of lemma zenon_L384_ *) % 0.71/0.89 assert (zenon_L385_ : ((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(c0_1 (a1032))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Ha9 zenon_H4b zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1c9 zenon_H1fa zenon_H1d2 zenon_H1cb zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Ha. zenon_intro zenon_Hab. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H9a. zenon_intro zenon_Hac. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H9c. zenon_intro zenon_H9d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_L166_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L375_); trivial. % 0.71/0.89 (* end of lemma zenon_L385_ *) % 0.71/0.89 assert (zenon_L386_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> (~(c0_1 (a1032))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hae zenon_H1fa zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1cb zenon_H1d2 zenon_H1c9 zenon_Ha zenon_H279 zenon_H3 zenon_H268 zenon_H269 zenon_H26a zenon_H4b. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha9 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_L166_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L384_); trivial. % 0.71/0.89 apply (zenon_L385_); trivial. % 0.71/0.89 (* end of lemma zenon_L386_ *) % 0.71/0.89 assert (zenon_L387_ : ((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(hskp11)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H18f zenon_He3 zenon_H105 zenon_H104 zenon_H103 zenon_Hc0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hb | zenon_intro zenon_He5 ]. % 0.71/0.89 apply (zenon_L6_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc1 ]. % 0.71/0.89 apply (zenon_L63_); trivial. % 0.71/0.89 exact (zenon_Hc0 zenon_Hc1). % 0.71/0.89 (* end of lemma zenon_L387_ *) % 0.71/0.89 assert (zenon_L388_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1df zenon_H192 zenon_He3 zenon_Hc0 zenon_H4b zenon_H279 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_Hae zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_H103 zenon_H104 zenon_H105 zenon_He2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L369_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.89 apply (zenon_L386_); trivial. % 0.71/0.89 apply (zenon_L387_); trivial. % 0.71/0.89 (* end of lemma zenon_L388_ *) % 0.71/0.89 assert (zenon_L389_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(hskp5)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hff zenon_H200 zenon_H26a zenon_H269 zenon_H268 zenon_H103 zenon_H104 zenon_H105 zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_He2 zenon_H1fe. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H201 ]. % 0.71/0.89 apply (zenon_L58_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H125 | zenon_intro zenon_H1ff ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 0.71/0.89 apply (zenon_L278_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hca | zenon_intro zenon_Hde ]. % 0.71/0.89 apply (zenon_L63_); trivial. % 0.71/0.89 apply (zenon_L323_); trivial. % 0.71/0.89 exact (zenon_H1fe zenon_H1ff). % 0.71/0.89 (* end of lemma zenon_L389_ *) % 0.71/0.89 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1e1 zenon_H102 zenon_H200 zenon_H1fe zenon_He2 zenon_H268 zenon_H269 zenon_H26a zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1b7 zenon_Hae zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H279 zenon_H4b zenon_He3 zenon_H192 zenon_H1df. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.89 apply (zenon_L388_); trivial. % 0.71/0.89 apply (zenon_L389_); trivial. % 0.71/0.89 (* end of lemma zenon_L390_ *) % 0.71/0.89 assert (zenon_L391_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1e1 zenon_H102 zenon_Hfd zenon_H53 zenon_H52 zenon_H51 zenon_He2 zenon_H268 zenon_H269 zenon_H26a zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1b7 zenon_Hae zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H279 zenon_H4b zenon_He3 zenon_H192 zenon_H1df. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.89 apply (zenon_L388_); trivial. % 0.71/0.89 apply (zenon_L176_); trivial. % 0.71/0.89 (* end of lemma zenon_L391_ *) % 0.71/0.89 assert (zenon_L392_ : ((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> (~(c0_1 (a1003))) -> (~(c2_1 (a1003))) -> (c1_1 (a1003)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H222 zenon_H223 zenon_H102 zenon_Hfd zenon_He2 zenon_H268 zenon_H269 zenon_H26a zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1b7 zenon_Hae zenon_H1fa zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H279 zenon_H4b zenon_He3 zenon_H192 zenon_H1df zenon_H217 zenon_H218 zenon_H219 zenon_H5d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.89 apply (zenon_L183_); trivial. % 0.71/0.89 apply (zenon_L391_); trivial. % 0.71/0.89 (* end of lemma zenon_L392_ *) % 0.71/0.89 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a1008))/\((~(c1_1 (a1008)))/\(~(c3_1 (a1008))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((hskp8)\/(hskp7))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H226 zenon_H227 zenon_Hfd zenon_H5d zenon_H220 zenon_H219 zenon_H218 zenon_H217 zenon_H1df zenon_H192 zenon_He3 zenon_H4b zenon_H279 zenon_H1fa zenon_Hae zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_He2 zenon_H1fe zenon_H200 zenon_H102 zenon_H223. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.89 apply (zenon_L186_); trivial. % 0.71/0.89 apply (zenon_L390_); trivial. % 0.71/0.89 apply (zenon_L392_); trivial. % 0.71/0.89 (* end of lemma zenon_L393_ *) % 0.71/0.89 assert (zenon_L394_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp13))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a1032))) -> (ndr1_0) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp13)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27f zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_H4b zenon_H1c9 zenon_Ha zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H37 zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a zenon_H132 zenon_Hbe. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H209 | zenon_intro zenon_H280 ]. % 0.71/0.89 apply (zenon_L169_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H165 | zenon_intro zenon_Hbf ]. % 0.71/0.89 apply (zenon_L370_); trivial. % 0.71/0.89 exact (zenon_Hbe zenon_Hbf). % 0.71/0.89 (* end of lemma zenon_L394_ *) % 0.71/0.89 assert (zenon_L395_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp13))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a1032)) -> (c3_1 (a1032)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp13)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27f zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_Ha zenon_H42 zenon_H1cb zenon_H1d2 zenon_H1fa zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a zenon_H132 zenon_Hbe. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H209 | zenon_intro zenon_H280 ]. % 0.71/0.89 apply (zenon_L169_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H165 | zenon_intro zenon_Hbf ]. % 0.71/0.89 apply (zenon_L372_); trivial. % 0.71/0.89 exact (zenon_Hbe zenon_Hbf). % 0.71/0.89 (* end of lemma zenon_L395_ *) % 0.71/0.89 assert (zenon_L396_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp13))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (~(hskp6)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1010)) -> (c0_1 (a1010)) -> (~(c1_1 (a1010))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp13)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1dc zenon_H4b zenon_H27f zenon_H20c zenon_H20b zenon_H20a zenon_H1d zenon_H1fa zenon_H105 zenon_H104 zenon_H103 zenon_H268 zenon_H269 zenon_H26a zenon_H132 zenon_Hbe. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_L394_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L395_); trivial. % 0.71/0.89 (* end of lemma zenon_L396_ *) % 0.71/0.89 assert (zenon_L397_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp7))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (~(hskp7)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hed zenon_H281 zenon_H219 zenon_H218 zenon_H217 zenon_H5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H41 | zenon_intro zenon_H282 ]. % 0.71/0.89 apply (zenon_L182_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_Haf | zenon_intro zenon_H6 ]. % 0.71/0.89 apply (zenon_L214_); trivial. % 0.71/0.89 exact (zenon_H5 zenon_H6). % 0.71/0.89 (* end of lemma zenon_L397_ *) % 0.71/0.89 assert (zenon_L398_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (c3_1 (a1032)) -> (c2_1 (a1032)) -> (forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H132 zenon_H235 zenon_H234 zenon_H233 zenon_H1d2 zenon_H1cb zenon_H42 zenon_Ha zenon_H1d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.89 apply (zenon_L207_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.89 apply (zenon_L143_); trivial. % 0.71/0.89 exact (zenon_H1d zenon_H1e). % 0.71/0.89 (* end of lemma zenon_L398_ *) % 0.71/0.89 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(hskp6)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1dc zenon_H4b zenon_H132 zenon_H235 zenon_H234 zenon_H233 zenon_H1d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H37 | zenon_intro zenon_H4c ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.89 apply (zenon_L207_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.89 apply (zenon_L142_); trivial. % 0.71/0.89 exact (zenon_H1d zenon_H1e). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4d | zenon_intro zenon_H42 ]. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_L398_); trivial. % 0.71/0.89 (* end of lemma zenon_L399_ *) % 0.71/0.89 assert (zenon_L400_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp14)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp4)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1df zenon_H233 zenon_H234 zenon_H235 zenon_H132 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H1f zenon_H21 zenon_H4b zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1 zenon_H27b zenon_H61. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L348_); trivial. % 0.71/0.89 apply (zenon_L399_); trivial. % 0.71/0.89 (* end of lemma zenon_L400_ *) % 0.71/0.89 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1e1 zenon_H85 zenon_H81 zenon_He2 zenon_H6e zenon_H61 zenon_H27b zenon_H1 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H132 zenon_H235 zenon_H234 zenon_H233 zenon_H1df. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.89 apply (zenon_L400_); trivial. % 0.71/0.89 apply (zenon_L345_); trivial. % 0.71/0.89 (* end of lemma zenon_L401_ *) % 0.71/0.89 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1019))) -> (c1_1 (a1019)) -> (c2_1 (a1019)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_H87 zenon_H88 zenon_H89 zenon_Hbe zenon_Hc4 zenon_H279 zenon_H3 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_H32 zenon_H2f zenon_H2d zenon_H5a zenon_Haa zenon_Hae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H73. zenon_intro zenon_H7f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H71. zenon_intro zenon_H72. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H96 | zenon_intro zenon_Hc2 ]. % 0.71/0.89 apply (zenon_L327_); trivial. % 0.71/0.89 apply (zenon_L49_); trivial. % 0.71/0.89 (* end of lemma zenon_L402_ *) % 0.71/0.89 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_H1df zenon_H1f5 zenon_H61 zenon_H5d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H6e zenon_H2f zenon_Hae zenon_Haa zenon_H5a zenon_H32 zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H279 zenon_Hc4 zenon_Hbe zenon_H89 zenon_H88 zenon_H87 zenon_Hc0 zenon_Hc3 zenon_Hc9 zenon_H81 zenon_H233 zenon_H234 zenon_H235 zenon_H13c zenon_H192. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.89 apply (zenon_L28_); trivial. % 0.71/0.89 apply (zenon_L402_); trivial. % 0.71/0.89 apply (zenon_L24_); trivial. % 0.71/0.89 apply (zenon_L208_); trivial. % 0.71/0.89 apply (zenon_L145_); trivial. % 0.71/0.89 (* end of lemma zenon_L403_ *) % 0.71/0.89 assert (zenon_L404_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(c1_1 (a1023))) -> (~(c2_1 (a1023))) -> (c3_1 (a1023)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1c5 zenon_H1b7 zenon_H1b5 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_Hcb zenon_Hcd zenon_Hce zenon_H5a zenon_H1a7. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1c2 ]. % 0.71/0.89 apply (zenon_L273_); trivial. % 0.71/0.89 apply (zenon_L328_); trivial. % 0.71/0.89 (* end of lemma zenon_L404_ *) % 0.71/0.89 assert (zenon_L405_ : ((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1019)) -> (c1_1 (a1019)) -> (~(c0_1 (a1019))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hed zenon_H1df zenon_H1f5 zenon_H4b zenon_H89 zenon_H88 zenon_H87 zenon_H1a7 zenon_H5a zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H1c5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hce. zenon_intro zenon_Hef. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcb. zenon_intro zenon_Hcd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L404_); trivial. % 0.71/0.89 apply (zenon_L145_); trivial. % 0.71/0.89 (* end of lemma zenon_L405_ *) % 0.71/0.89 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1023))/\((~(c1_1 (a1023)))/\(~(c2_1 (a1023))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1033))/\((c1_1 (a1033))/\(c2_1 (a1033)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp27)\/((hskp6)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp4)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1048))/\((~(c0_1 (a1048)))/\(~(c3_1 (a1048))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a1052))/\((~(c0_1 (a1052)))/\(~(c2_1 (a1052))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c1_1 X24)\/((c2_1 X24)\/(~(c3_1 X24))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c1_1 X3))))))\/((hskp8)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp3)\/(hskp25))) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hea zenon_He9 zenon_H1a7 zenon_H1c5 zenon_H1df zenon_H233 zenon_H234 zenon_H235 zenon_H132 zenon_H36 zenon_H32 zenon_H2f zenon_H1d zenon_H21 zenon_H4b zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1 zenon_H27b zenon_H61 zenon_H192 zenon_H13c zenon_H81 zenon_Hc9 zenon_Hc3 zenon_Hc0 zenon_Hc4 zenon_H279 zenon_H5a zenon_Haa zenon_Hae zenon_H6e zenon_H51 zenon_H52 zenon_H53 zenon_H5d zenon_H1f5 zenon_H85. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.89 apply (zenon_L400_); trivial. % 0.71/0.89 apply (zenon_L403_); trivial. % 0.71/0.89 apply (zenon_L405_); trivial. % 0.71/0.89 (* end of lemma zenon_L406_ *) % 0.71/0.89 assert (zenon_L407_ : ((ndr1_0)/\((c3_1 (a1015))/\((~(c0_1 (a1015)))/\(~(c1_1 (a1015)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c2_1 X10)))))))) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((hskp27)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hff zenon_H85 zenon_Hfd zenon_H53 zenon_H52 zenon_H51 zenon_H13c zenon_H61 zenon_H27b zenon_H1 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H4b zenon_H21 zenon_H1d zenon_H2f zenon_H32 zenon_H36 zenon_H132 zenon_H235 zenon_H234 zenon_H233 zenon_H1df. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.89 apply (zenon_L400_); trivial. % 0.71/0.89 apply (zenon_L228_); trivial. % 0.71/0.89 (* end of lemma zenon_L407_ *) % 0.71/0.89 assert (zenon_L408_ : ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp17)) -> (~(c3_1 (a1004))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (ndr1_0) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H13c zenon_H1b5 zenon_H1e4 zenon_H1e5 zenon_H1e6 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H235 zenon_H234 zenon_H233 zenon_Ha zenon_H63 zenon_H64 zenon_H65. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.71/0.89 apply (zenon_L365_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.71/0.89 apply (zenon_L207_); trivial. % 0.71/0.89 apply (zenon_L26_); trivial. % 0.71/0.89 (* end of lemma zenon_L408_ *) % 0.71/0.89 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a1010))/\((c3_1 (a1010))/\(~(c1_1 (a1010)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1e1 zenon_H1df zenon_H4b zenon_H233 zenon_H234 zenon_H235 zenon_H1d zenon_H132 zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_He2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L369_); trivial. % 0.71/0.89 apply (zenon_L399_); trivial. % 0.71/0.89 (* end of lemma zenon_L409_ *) % 0.71/0.89 assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (~(hskp6)) -> (~(c1_1 (a1008))) -> (~(c3_1 (a1008))) -> (c2_1 (a1008)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c2_1 (a1025))) -> (~(c3_1 (a1025))) -> (c0_1 (a1025)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1dc zenon_H13c zenon_H1d zenon_H51 zenon_H52 zenon_H53 zenon_H132 zenon_H4b zenon_H235 zenon_H234 zenon_H233 zenon_H63 zenon_H64 zenon_H65. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.71/0.89 apply (zenon_L341_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H11d | zenon_intro zenon_H62 ]. % 0.71/0.89 apply (zenon_L207_); trivial. % 0.71/0.89 apply (zenon_L26_); trivial. % 0.71/0.89 (* end of lemma zenon_L410_ *) % 0.71/0.89 assert (zenon_L411_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1e5 zenon_H1e6 zenon_H86 zenon_Ha zenon_H1b5. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hde | zenon_intro zenon_H1b8 ]. % 0.71/0.89 apply (zenon_L323_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H125 | zenon_intro zenon_H1b6 ]. % 0.71/0.89 apply (zenon_L154_); trivial. % 0.71/0.89 exact (zenon_H1b5 zenon_H1b6). % 0.71/0.89 (* end of lemma zenon_L411_ *) % 0.71/0.89 assert (zenon_L412_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> (~(hskp17)) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H163 zenon_H1b5 zenon_H1e6 zenon_H1e5 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H1f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H86 | zenon_intro zenon_H164 ]. % 0.71/0.89 apply (zenon_L411_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H11c | zenon_intro zenon_H20 ]. % 0.71/0.89 apply (zenon_L116_); trivial. % 0.71/0.89 exact (zenon_H1f zenon_H20). % 0.71/0.89 (* end of lemma zenon_L412_ *) % 0.71/0.89 assert (zenon_L413_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c3_1 (a1004))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (ndr1_0) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1df zenon_H4b zenon_H1e4 zenon_H1fa zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H26a zenon_H269 zenon_H268 zenon_Ha zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1f zenon_H163. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L412_); trivial. % 0.71/0.89 apply (zenon_L168_); trivial. % 0.71/0.89 (* end of lemma zenon_L413_ *) % 0.71/0.89 assert (zenon_L414_ : ((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c0_1 (a1025)) -> (~(c3_1 (a1025))) -> (~(c2_1 (a1025))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1dc zenon_H192 zenon_H13c zenon_H65 zenon_H64 zenon_H63 zenon_H235 zenon_H234 zenon_H233 zenon_H4b zenon_H26a zenon_H269 zenon_H268 zenon_H279 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1fa zenon_Hae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Ha. zenon_intro zenon_H1dd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1cb. zenon_intro zenon_H1de. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d2. zenon_intro zenon_H1c9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.89 apply (zenon_L386_); trivial. % 0.71/0.89 apply (zenon_L208_); trivial. % 0.71/0.89 (* end of lemma zenon_L414_ *) % 0.71/0.89 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> (~(c2_1 (a1006))) -> (c0_1 (a1006)) -> (c3_1 (a1006)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_H1df zenon_H192 zenon_H4b zenon_H279 zenon_H1b9 zenon_H1ba zenon_H1bb zenon_H1fa zenon_Hae zenon_H1b7 zenon_H1e6 zenon_H1e5 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_H233 zenon_H234 zenon_H235 zenon_H13c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L408_); trivial. % 0.71/0.89 apply (zenon_L414_); trivial. % 0.71/0.89 (* end of lemma zenon_L415_ *) % 0.71/0.89 assert (zenon_L416_ : ((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1008)) -> (~(c3_1 (a1008))) -> (~(c1_1 (a1008))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1010))) -> (c0_1 (a1010)) -> (c3_1 (a1010)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((~(c0_1 X39))\/(~(c3_1 X39))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_H1df zenon_H13c zenon_H235 zenon_H234 zenon_H233 zenon_H132 zenon_H1d zenon_H53 zenon_H52 zenon_H51 zenon_H4b zenon_H1b7 zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H26a zenon_H269 zenon_H268 zenon_H103 zenon_H104 zenon_H105 zenon_He2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L369_); trivial. % 0.71/0.89 apply (zenon_L410_); trivial. % 0.71/0.89 (* end of lemma zenon_L416_ *) % 0.71/0.89 assert (zenon_L417_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> (c2_1 (a1002)) -> (c0_1 (a1002)) -> (~(c1_1 (a1002))) -> (~(c3_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c1_1 (a1005))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1df zenon_H4b zenon_H24a zenon_H235 zenon_H234 zenon_H233 zenon_H20c zenon_H20b zenon_H20a zenon_Ha zenon_H1b7 zenon_H26a zenon_H269 zenon_H268 zenon_H1d zenon_H132 zenon_H36. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.71/0.89 apply (zenon_L285_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H133 ]. % 0.71/0.89 apply (zenon_L207_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e ]. % 0.71/0.89 apply (zenon_L338_); trivial. % 0.71/0.89 exact (zenon_H1d zenon_H1e). % 0.71/0.89 apply (zenon_L399_); trivial. % 0.71/0.89 (* end of lemma zenon_L417_ *) % 0.71/0.89 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp17)) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H31 zenon_H1fa zenon_H1b5 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H1e4 zenon_H1e6 zenon_H1e5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_Ha. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H24. zenon_intro zenon_H34. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.89 apply (zenon_L338_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.89 apply (zenon_L116_); trivial. % 0.71/0.89 apply (zenon_L150_); trivial. % 0.71/0.89 (* end of lemma zenon_L418_ *) % 0.71/0.89 assert (zenon_L419_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c2_1 (a1004)) -> (c1_1 (a1004)) -> (~(c3_1 (a1004))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1005))) -> (~(c2_1 (a1005))) -> (~(c3_1 (a1005))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H36 zenon_H1fa zenon_H1e5 zenon_H1e6 zenon_H1e4 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_H268 zenon_H269 zenon_H26a zenon_H1b5 zenon_H1b7 zenon_Ha zenon_H20a zenon_H20b zenon_H20c zenon_H233 zenon_H234 zenon_H235 zenon_H24a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H1b | zenon_intro zenon_H31 ]. % 0.71/0.89 apply (zenon_L285_); trivial. % 0.71/0.89 apply (zenon_L418_); trivial. % 0.71/0.89 (* end of lemma zenon_L419_ *) % 0.71/0.89 assert (zenon_L420_ : ((ndr1_0)/\((~(c1_1 (a1005)))/\((~(c2_1 (a1005)))/\(~(c3_1 (a1005)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a1019))/\((c2_1 (a1019))/\(~(c0_1 (a1019))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a1025))/\((~(c2_1 (a1025)))/\(~(c3_1 (a1025))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1041))/\((~(c0_1 (a1041)))/\(~(c3_1 (a1041))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c0_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/((hskp29)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1040))/\((c1_1 (a1040))/\(c3_1 (a1040)))))) -> (~(c3_1 (a1004))) -> (c1_1 (a1004)) -> (c2_1 (a1004)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1029))/\((c2_1 (a1029))/\(c3_1 (a1029)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c2_1 X12))))))\/(hskp17))) -> (~(c1_1 (a1002))) -> (c0_1 (a1002)) -> (c2_1 (a1002)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c2_1 Z)\/(c3_1 Z)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp27))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1032))/\((c3_1 (a1032))/\(~(c0_1 (a1032))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H24c zenon_H24d zenon_He8 zenon_H85 zenon_H192 zenon_H13c zenon_H279 zenon_Hae zenon_H1e4 zenon_H1e6 zenon_H1e5 zenon_H1fa zenon_H163 zenon_H213 zenon_H36 zenon_H132 zenon_H268 zenon_H269 zenon_H26a zenon_H1b7 zenon_H233 zenon_H234 zenon_H235 zenon_H24a zenon_H4b zenon_H1df. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.89 apply (zenon_L417_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.89 apply (zenon_L173_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.89 apply (zenon_L129_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.89 apply (zenon_L419_); trivial. % 0.71/0.89 apply (zenon_L414_); trivial. % 0.71/0.89 (* end of lemma zenon_L420_ *) % 0.71/0.89 assert (zenon_L421_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (c3_1 (a1006)) -> (c0_1 (a1006)) -> (~(c2_1 (a1006))) -> (ndr1_0) -> (~(c3_1 (a1000))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26)))))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1fa zenon_H252 zenon_H251 zenon_H250 zenon_H1bb zenon_H1ba zenon_H1b9 zenon_Ha zenon_H268 zenon_H165 zenon_H269 zenon_H26a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H126 | zenon_intro zenon_H1fb ]. % 0.71/0.89 apply (zenon_L300_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H11c | zenon_intro zenon_H1f7 ]. % 0.71/0.89 apply (zenon_L116_); trivial. % 0.71/0.89 apply (zenon_L355_); trivial. % 0.71/0.89 (* end of lemma zenon_L421_ *) % 0.71/0.89 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a1045))/\((c3_1 (a1045))/\(~(c0_1 (a1045))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (~(c3_1 (a1000))) -> (c0_1 (a1000)) -> (c2_1 (a1000)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X35 : zenon_U, ((ndr1_0)->((~(c1_1 X35))\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c2_1 X42))\/(~(c3_1 X42))))))\/((hskp24)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1001)) -> (c2_1 (a1001)) -> (~(c1_1 (a1001))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(hskp4))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H226 zenon_H61 zenon_H27b zenon_H268 zenon_H269 zenon_H26a zenon_H1fa zenon_H4b zenon_H32 zenon_H2f zenon_H252 zenon_H251 zenon_H250 zenon_H1 zenon_H134. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.89 apply (zenon_L314_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_Ha. zenon_intro zenon_H5e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H39. zenon_intro zenon_H5f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H3a. zenon_intro zenon_H38. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.89 apply (zenon_L21_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.89 apply (zenon_L421_); trivial. % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 (* end of lemma zenon_L422_ *) % 0.71/0.89 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a1006))/\((c3_1 (a1006))/\(~(c2_1 (a1006)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c3_1 X26)\/(~(c0_1 X26))))))\/(hskp4))) -> (c1_1 (a1003)) -> (~(c2_1 (a1003))) -> (~(c0_1 (a1003))) -> (c2_1 (a1000)) -> (c0_1 (a1000)) -> (~(c3_1 (a1000))) -> (~(c1_1 (a1001))) -> (c2_1 (a1001)) -> (c3_1 (a1001)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c0_1 X7))\/(~(c3_1 X7))))))\/(forall X80 : zenon_U, ((ndr1_0)->((c3_1 X80)\/((~(c1_1 X80))\/(~(c2_1 X80)))))))) -> (~(hskp4)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H226 zenon_H27b zenon_H219 zenon_H218 zenon_H217 zenon_H26a zenon_H269 zenon_H268 zenon_H250 zenon_H251 zenon_H252 zenon_H1fa zenon_H1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H41 | zenon_intro zenon_H27c ]. % 0.71/0.89 apply (zenon_L182_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H165 | zenon_intro zenon_H2 ]. % 0.71/0.89 apply (zenon_L421_); trivial. % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 (* end of lemma zenon_L423_ *) % 0.71/0.89 apply NNPP. intro zenon_G. % 0.71/0.89 apply zenon_G. zenon_intro zenon_H283. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H285. zenon_intro zenon_H284. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H287. zenon_intro zenon_H286. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H289. zenon_intro zenon_H288. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H28b. zenon_intro zenon_H28a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H28d. zenon_intro zenon_H28c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H28f. zenon_intro zenon_H28e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H24d. zenon_intro zenon_H290. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H227. zenon_intro zenon_H291. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H223. zenon_intro zenon_H292. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H215. zenon_intro zenon_H293. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H216. zenon_intro zenon_H294. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H102. zenon_intro zenon_H295. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_He8. zenon_intro zenon_H296. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_He9. zenon_intro zenon_H297. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H85. zenon_intro zenon_H298. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H136. zenon_intro zenon_H299. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H29b. zenon_intro zenon_H29a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H1df. zenon_intro zenon_H29c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H157. zenon_intro zenon_H29d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H17d. zenon_intro zenon_H2a0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H192. zenon_intro zenon_H2a1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H1e0. zenon_intro zenon_H2a2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H2a4. zenon_intro zenon_H2a3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H61. zenon_intro zenon_H2a5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H81. zenon_intro zenon_H2a6. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_Hc9. zenon_intro zenon_H2a7. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H36. zenon_intro zenon_H2a8. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H1c5. zenon_intro zenon_H2a9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Hae. zenon_intro zenon_H2aa. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_He6. zenon_intro zenon_H2ad. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2af. zenon_intro zenon_H2ae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H155. zenon_intro zenon_H2b0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H134. zenon_intro zenon_H2b3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Hfd. zenon_intro zenon_H2b4. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H200. zenon_intro zenon_H2b5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H92. zenon_intro zenon_H2bc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H281. zenon_intro zenon_H2bd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H27b. zenon_intro zenon_H2be. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H5d. zenon_intro zenon_H2bf. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H231. zenon_intro zenon_H2c0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H220. zenon_intro zenon_H2c1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_Hc3. zenon_intro zenon_H2c2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_He2. zenon_intro zenon_H2c7. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H7d. zenon_intro zenon_H2ca. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H13c. zenon_intro zenon_H2cb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_He3. zenon_intro zenon_H2cc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H19. zenon_intro zenon_H2cd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hc4. zenon_intro zenon_H2ce. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H1f5. zenon_intro zenon_H2cf. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H163. zenon_intro zenon_H2d0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H4b. zenon_intro zenon_H2d1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H110. zenon_intro zenon_H2d2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H27f. zenon_intro zenon_H2d5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H24a. zenon_intro zenon_H2d6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H213. zenon_intro zenon_H2d9. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H2db. zenon_intro zenon_H2da. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H1a7. zenon_intro zenon_H2dc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H145. zenon_intro zenon_H2dd. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H17e. zenon_intro zenon_H2e0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e2. zenon_intro zenon_H2e1. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H279. zenon_intro zenon_H2e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H132. zenon_intro zenon_H2e4. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H207. zenon_intro zenon_H2e7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H10e. zenon_intro zenon_H2ea. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1fa. zenon_intro zenon_H2eb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H6e. zenon_intro zenon_H2ec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H22f. zenon_intro zenon_H2ef. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Haa. zenon_intro zenon_H2f0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f8. zenon_intro zenon_H2f7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1b7. zenon_intro zenon_H2f9. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H130. zenon_intro zenon_H2fc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H1f2. zenon_intro zenon_H2fd. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H32. zenon_intro zenon_H2fe. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H302. zenon_intro zenon_H301. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H304. zenon_intro zenon_H303. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H98. zenon_intro zenon_H305. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H307. zenon_intro zenon_H306. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H21. zenon_intro zenon_H308. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30a. zenon_intro zenon_H309. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H193. zenon_intro zenon_H30b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H7. zenon_intro zenon_H30c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H90 | zenon_intro zenon_H30d ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H17 | zenon_intro zenon_H30e ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H15 | zenon_intro zenon_H30f ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L4_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He. zenon_intro zenon_H191. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_L9_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L62_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L89_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L78_); trivial. % 0.71/0.90 apply (zenon_L94_); trivial. % 0.71/0.90 apply (zenon_L102_); trivial. % 0.71/0.90 apply (zenon_L104_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L106_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L128_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.90 apply (zenon_L28_); trivial. % 0.71/0.90 apply (zenon_L121_); trivial. % 0.71/0.90 apply (zenon_L24_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_L135_); trivial. % 0.71/0.90 apply (zenon_L61_); trivial. % 0.71/0.90 apply (zenon_L136_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L138_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L147_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_L152_); trivial. % 0.71/0.90 apply (zenon_L159_); trivial. % 0.71/0.90 apply (zenon_L165_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L138_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.71/0.90 apply (zenon_L139_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.71/0.90 exact (zenon_H15 zenon_H16). % 0.71/0.90 exact (zenon_H17 zenon_H18). % 0.71/0.90 apply (zenon_L168_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L138_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L147_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_L152_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L153_); trivial. % 0.71/0.90 apply (zenon_L172_); trivial. % 0.71/0.90 apply (zenon_L165_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L138_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L173_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L130_); trivial. % 0.71/0.90 apply (zenon_L174_); trivial. % 0.71/0.90 apply (zenon_L176_); trivial. % 0.71/0.90 apply (zenon_L181_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L106_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_L185_); trivial. % 0.71/0.90 apply (zenon_L104_); trivial. % 0.71/0.90 apply (zenon_L188_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_L191_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H10c | zenon_intro zenon_H137 ]. % 0.71/0.90 apply (zenon_L66_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Ha. zenon_intro zenon_H138. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H115. zenon_intro zenon_H139. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H113. zenon_intro zenon_H114. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L193_); trivial. % 0.71/0.90 apply (zenon_L195_); trivial. % 0.71/0.90 apply (zenon_L190_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_L191_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L160_); trivial. % 0.71/0.90 apply (zenon_L190_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L202_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L189_); trivial. % 0.71/0.90 apply (zenon_L203_); trivial. % 0.71/0.90 apply (zenon_L200_); trivial. % 0.71/0.90 apply (zenon_L204_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Ha. zenon_intro zenon_H313. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H234. zenon_intro zenon_H314. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H235. zenon_intro zenon_H233. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L210_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L211_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L38_); trivial. % 0.71/0.90 apply (zenon_L209_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L34_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L51_); trivial. % 0.71/0.90 apply (zenon_L219_); trivial. % 0.71/0.90 apply (zenon_L61_); trivial. % 0.71/0.90 apply (zenon_L220_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L78_); trivial. % 0.71/0.90 apply (zenon_L226_); trivial. % 0.71/0.90 apply (zenon_L230_); trivial. % 0.71/0.90 apply (zenon_L102_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L234_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_L239_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L244_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H2d | zenon_intro zenon_H5c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.71/0.90 apply (zenon_L28_); trivial. % 0.71/0.90 apply (zenon_L241_); trivial. % 0.71/0.90 apply (zenon_L24_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_L248_); trivial. % 0.71/0.90 apply (zenon_L249_); trivial. % 0.71/0.90 apply (zenon_L136_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L253_); trivial. % 0.71/0.90 apply (zenon_L255_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L256_); trivial. % 0.71/0.90 apply (zenon_L255_); trivial. % 0.71/0.90 apply (zenon_L159_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L34_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L38_); trivial. % 0.71/0.90 apply (zenon_L258_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L256_); trivial. % 0.71/0.90 apply (zenon_L259_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L153_); trivial. % 0.71/0.90 apply (zenon_L259_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L266_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L129_); trivial. % 0.71/0.90 apply (zenon_L252_); trivial. % 0.71/0.90 apply (zenon_L270_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L271_); trivial. % 0.71/0.90 apply (zenon_L272_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L247_); trivial. % 0.71/0.90 apply (zenon_L275_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L276_); trivial. % 0.71/0.90 apply (zenon_L254_); trivial. % 0.71/0.90 apply (zenon_L269_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L277_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L280_); trivial. % 0.71/0.90 apply (zenon_L269_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_Ha. zenon_intro zenon_H181. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H168. zenon_intro zenon_H182. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H166. zenon_intro zenon_H167. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L178_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L280_); trivial. % 0.71/0.90 apply (zenon_L177_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L281_); trivial. % 0.71/0.90 apply (zenon_L265_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L129_); trivial. % 0.71/0.90 apply (zenon_L258_); trivial. % 0.71/0.90 apply (zenon_L176_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_Ha. zenon_intro zenon_H18d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H184. zenon_intro zenon_H18e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H185. zenon_intro zenon_H183. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L271_); trivial. % 0.71/0.90 apply (zenon_L282_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L247_); trivial. % 0.71/0.90 apply (zenon_L283_); trivial. % 0.71/0.90 apply (zenon_L176_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H141 | zenon_intro zenon_H180 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L277_); trivial. % 0.71/0.90 apply (zenon_L176_); trivial. % 0.71/0.90 apply (zenon_L179_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L290_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L291_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L292_); trivial. % 0.71/0.90 apply (zenon_L293_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_L294_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L211_); trivial. % 0.71/0.90 apply (zenon_L184_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H12e | zenon_intro zenon_H18c ]. % 0.71/0.90 apply (zenon_L185_); trivial. % 0.71/0.90 apply (zenon_L213_); trivial. % 0.71/0.90 apply (zenon_L295_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L297_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_L296_); trivial. % 0.71/0.90 apply (zenon_L299_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_Ha. zenon_intro zenon_H315. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H251. zenon_intro zenon_H316. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H252. zenon_intro zenon_H250. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_L308_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L4_); trivial. % 0.71/0.90 apply (zenon_L311_); trivial. % 0.71/0.90 apply (zenon_L315_); trivial. % 0.71/0.90 apply (zenon_L319_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_L320_); trivial. % 0.71/0.90 apply (zenon_L188_); trivial. % 0.71/0.90 apply (zenon_L322_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Ha. zenon_intro zenon_H317. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H269. zenon_intro zenon_H318. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H26a. zenon_intro zenon_H268. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H17 | zenon_intro zenon_H30e ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H15 | zenon_intro zenon_H30f ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L106_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L337_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_L346_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L348_); trivial. % 0.71/0.90 apply (zenon_L349_); trivial. % 0.71/0.90 apply (zenon_L33_); trivial. % 0.71/0.90 apply (zenon_L350_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L106_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L353_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L332_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_L354_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L359_); trivial. % 0.71/0.90 apply (zenon_L105_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_L364_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_L377_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L366_); trivial. % 0.71/0.90 apply (zenon_L168_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L106_); trivial. % 0.71/0.90 apply (zenon_L379_); trivial. % 0.71/0.90 apply (zenon_L382_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_L376_); trivial. % 0.71/0.90 apply (zenon_L383_); trivial. % 0.71/0.90 apply (zenon_L393_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_Ha. zenon_intro zenon_H24e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H20a. zenon_intro zenon_H24f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L369_); trivial. % 0.71/0.90 apply (zenon_L396_); trivial. % 0.71/0.90 apply (zenon_L397_); trivial. % 0.71/0.90 apply (zenon_L383_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L369_); trivial. % 0.71/0.90 apply (zenon_L168_); trivial. % 0.71/0.90 apply (zenon_L392_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Ha. zenon_intro zenon_H313. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H234. zenon_intro zenon_H314. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H235. zenon_intro zenon_H233. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L210_); trivial. % 0.71/0.90 apply (zenon_L401_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_L34_); trivial. % 0.71/0.90 apply (zenon_L406_); trivial. % 0.71/0.90 apply (zenon_L407_); trivial. % 0.71/0.90 apply (zenon_L401_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_L234_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H7a | zenon_intro zenon_Hea ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L353_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L331_); trivial. % 0.71/0.90 apply (zenon_L208_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H88. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H89. zenon_intro zenon_H87. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L129_); trivial. % 0.71/0.90 apply (zenon_L403_); trivial. % 0.71/0.90 apply (zenon_L405_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hff). zenon_intro zenon_Ha. zenon_intro zenon_H100. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_Hf3. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L359_); trivial. % 0.71/0.90 apply (zenon_L233_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H3 | zenon_intro zenon_H18f ]. % 0.71/0.90 apply (zenon_L359_); trivial. % 0.71/0.90 apply (zenon_L208_); trivial. % 0.71/0.90 apply (zenon_L127_); trivial. % 0.71/0.90 apply (zenon_L364_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L206_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L408_); trivial. % 0.71/0.90 apply (zenon_L399_); trivial. % 0.71/0.90 apply (zenon_L409_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L25_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Ha. zenon_intro zenon_H83. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H65. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H63. zenon_intro zenon_H64. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L408_); trivial. % 0.71/0.90 apply (zenon_L410_); trivial. % 0.71/0.90 apply (zenon_L409_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_Ha. zenon_intro zenon_H228. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ba. zenon_intro zenon_H229. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H1bb. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L413_); trivial. % 0.71/0.90 apply (zenon_L415_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1dc ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_L399_); trivial. % 0.71/0.90 apply (zenon_L382_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_Ha. zenon_intro zenon_H266. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H1e6. zenon_intro zenon_H267. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H1e5. zenon_intro zenon_H1e4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H24c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H5 | zenon_intro zenon_H222 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_L409_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_Ha. zenon_intro zenon_H224. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H53. zenon_intro zenon_H225. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H51. zenon_intro zenon_H52. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H5a | zenon_intro zenon_H1e1 ]. % 0.71/0.90 apply (zenon_L183_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H104. zenon_intro zenon_H1e3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H105. zenon_intro zenon_H103. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H82 ]. % 0.71/0.90 apply (zenon_L343_); trivial. % 0.71/0.90 apply (zenon_L416_); trivial. % 0.71/0.90 apply (zenon_L389_); trivial. % 0.71/0.90 apply (zenon_L393_); trivial. % 0.71/0.90 apply (zenon_L420_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_Ha. zenon_intro zenon_H315. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H251. zenon_intro zenon_H316. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H252. zenon_intro zenon_H250. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H2f | zenon_intro zenon_H310 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_L308_); trivial. % 0.71/0.90 apply (zenon_L422_); trivial. % 0.71/0.90 apply (zenon_L319_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Ha. zenon_intro zenon_H311. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H219. zenon_intro zenon_H312. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1 | zenon_intro zenon_H265 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1d | zenon_intro zenon_H226 ]. % 0.71/0.90 apply (zenon_L320_); trivial. % 0.71/0.90 apply (zenon_L423_); trivial. % 0.71/0.90 apply (zenon_L322_); trivial. % 0.71/0.90 Qed. % 0.71/0.90 % SZS output end Proof % 0.71/0.90 (* END-PROOF *) % 0.71/0.90 nodes searched: 27256 % 0.71/0.90 max branch formulas: 470 % 0.71/0.90 proof nodes created: 2942 % 0.71/0.90 formulas created: 30183 % 0.71/0.90 %------------------------------------------------------------------------------