%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN511+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:49 EDT 2022 % Result : Theorem 0.73s 0.90s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN511+1 : TPTP v8.1.0. Released v2.1.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n007.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 08:38:48 EDT 2022 % 0.12/0.33 % CPUTime : % 0.73/0.90 (* PROOF-FOUND *) % 0.73/0.90 % SZS status Theorem % 0.73/0.90 (* BEGIN-PROOF *) % 0.73/0.90 % SZS output start Proof % 0.73/0.90 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a668))/\((~(c2_1 (a668)))/\(~(c3_1 (a668)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a669))/\((~(c1_1 (a669)))/\(~(c2_1 (a669)))))))/\(((~(hskp2))\/((ndr1_0)/\((c3_1 (a670))/\((~(c0_1 (a670)))/\(~(c1_1 (a670)))))))/\(((~(hskp3))\/((ndr1_0)/\((c2_1 (a671))/\((~(c0_1 (a671)))/\(~(c1_1 (a671)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c0_1 (a672)))/\((~(c1_1 (a672)))/\(~(c2_1 (a672)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a673)))/\((~(c2_1 (a673)))/\(~(c3_1 (a673)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a674))/\((c3_1 (a674))/\(~(c1_1 (a674)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a675))/\((c3_1 (a675))/\(~(c2_1 (a675)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a760)))/\((~(c1_1 (a760)))/\(~(c3_1 (a760)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp3)\/(hskp4)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(hskp5)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((hskp6)\/(hskp7)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(hskp0)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp4)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp27)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp4)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((c2_1 X77)\/(c3_1 X77)))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp18)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp6)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp1)\/(hskp15)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((hskp20)\/(hskp0)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((hskp27)\/(hskp1)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/((hskp15)\/(hskp4)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp21)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((hskp1)\/(hskp21)))/\(((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5)))/\(((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16)))/\(((hskp27)\/((hskp24)\/(hskp18)))/\(((hskp28)\/((hskp30)\/(hskp11)))/\(((hskp28)\/((hskp19)\/(hskp9)))/\(((hskp13)\/((hskp12)\/(hskp25)))/\(((hskp30)\/((hskp26)\/(hskp12)))/\(((hskp11)\/((hskp21)\/(hskp2)))/\(((hskp24)\/((hskp18)\/(hskp4)))/\(((hskp29)\/((hskp0)\/(hskp16)))/\(((hskp22)\/((hskp8)\/(hskp0)))/\((hskp7)\/((hskp25)\/(hskp5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.73/0.90 Proof. % 0.73/0.90 assert (zenon_L1_ : (~(hskp11)) -> (hskp11) -> False). % 0.73/0.90 do 0 intro. intros zenon_H1 zenon_H2. % 0.73/0.90 exact (zenon_H1 zenon_H2). % 0.73/0.90 (* end of lemma zenon_L1_ *) % 0.73/0.90 assert (zenon_L2_ : (~(hskp21)) -> (hskp21) -> False). % 0.73/0.90 do 0 intro. intros zenon_H3 zenon_H4. % 0.73/0.90 exact (zenon_H3 zenon_H4). % 0.73/0.90 (* end of lemma zenon_L2_ *) % 0.73/0.90 assert (zenon_L3_ : (~(hskp2)) -> (hskp2) -> False). % 0.73/0.90 do 0 intro. intros zenon_H5 zenon_H6. % 0.73/0.90 exact (zenon_H5 zenon_H6). % 0.73/0.90 (* end of lemma zenon_L3_ *) % 0.73/0.90 assert (zenon_L4_ : ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp11)) -> (~(hskp21)) -> (~(hskp2)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.73/0.90 exact (zenon_H1 zenon_H2). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.73/0.90 exact (zenon_H3 zenon_H4). % 0.73/0.90 exact (zenon_H5 zenon_H6). % 0.73/0.90 (* end of lemma zenon_L4_ *) % 0.73/0.90 assert (zenon_L5_ : (~(hskp27)) -> (hskp27) -> False). % 0.73/0.90 do 0 intro. intros zenon_H9 zenon_Ha. % 0.73/0.90 exact (zenon_H9 zenon_Ha). % 0.73/0.90 (* end of lemma zenon_L5_ *) % 0.73/0.90 assert (zenon_L6_ : (~(hskp24)) -> (hskp24) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hb zenon_Hc. % 0.73/0.90 exact (zenon_Hb zenon_Hc). % 0.73/0.90 (* end of lemma zenon_L6_ *) % 0.73/0.90 assert (zenon_L7_ : (~(hskp18)) -> (hskp18) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hd zenon_He. % 0.73/0.90 exact (zenon_Hd zenon_He). % 0.73/0.90 (* end of lemma zenon_L7_ *) % 0.73/0.90 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hf zenon_H10. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 (* end of lemma zenon_L8_ *) % 0.73/0.90 assert (zenon_L9_ : (~(hskp9)) -> (hskp9) -> False). % 0.73/0.90 do 0 intro. intros zenon_H11 zenon_H12. % 0.73/0.90 exact (zenon_H11 zenon_H12). % 0.73/0.90 (* end of lemma zenon_L9_ *) % 0.73/0.90 assert (zenon_L10_ : (~(hskp5)) -> (hskp5) -> False). % 0.73/0.90 do 0 intro. intros zenon_H13 zenon_H14. % 0.73/0.90 exact (zenon_H13 zenon_H14). % 0.73/0.90 (* end of lemma zenon_L10_ *) % 0.73/0.90 assert (zenon_L11_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp9)) -> (~(hskp5)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H15 zenon_H16 zenon_H11 zenon_H13. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H10. zenon_intro zenon_H17. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.73/0.90 generalize (zenon_H1d (a676)). zenon_intro zenon_H1e. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.73/0.90 exact (zenon_H21 zenon_H19). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.73/0.90 exact (zenon_H23 zenon_H1b). % 0.73/0.90 exact (zenon_H22 zenon_H1a). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.73/0.90 exact (zenon_H11 zenon_H12). % 0.73/0.90 exact (zenon_H13 zenon_H14). % 0.73/0.90 (* end of lemma zenon_L11_ *) % 0.73/0.90 assert (zenon_L12_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (~(hskp24)) -> (~(hskp18)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> False). % 0.73/0.90 do 0 intro. intros zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_Hb zenon_Hd zenon_H25. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H15 ]. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_Ha | zenon_intro zenon_H26 ]. % 0.73/0.90 exact (zenon_H9 zenon_Ha). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.73/0.90 exact (zenon_Hb zenon_Hc). % 0.73/0.90 exact (zenon_Hd zenon_He). % 0.73/0.90 apply (zenon_L11_); trivial. % 0.73/0.90 (* end of lemma zenon_L12_ *) % 0.73/0.90 assert (zenon_L13_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a731))) -> (~(c3_1 (a731))) -> (c0_1 (a731)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H27 zenon_H10 zenon_H28 zenon_H29 zenon_H2a. % 0.73/0.90 generalize (zenon_H27 (a731)). zenon_intro zenon_H2b. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.73/0.90 exact (zenon_H28 zenon_H2e). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.73/0.90 exact (zenon_H29 zenon_H30). % 0.73/0.90 exact (zenon_H2f zenon_H2a). % 0.73/0.90 (* end of lemma zenon_L13_ *) % 0.73/0.90 assert (zenon_L14_ : (~(hskp29)) -> (hskp29) -> False). % 0.73/0.90 do 0 intro. intros zenon_H31 zenon_H32. % 0.73/0.90 exact (zenon_H31 zenon_H32). % 0.73/0.90 (* end of lemma zenon_L14_ *) % 0.73/0.90 assert (zenon_L15_ : (~(hskp15)) -> (hskp15) -> False). % 0.73/0.90 do 0 intro. intros zenon_H33 zenon_H34. % 0.73/0.90 exact (zenon_H33 zenon_H34). % 0.73/0.90 (* end of lemma zenon_L15_ *) % 0.73/0.90 assert (zenon_L16_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H35 zenon_H2a zenon_H29 zenon_H28 zenon_H10 zenon_H31 zenon_H33. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H27 | zenon_intro zenon_H36 ]. % 0.73/0.90 apply (zenon_L13_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.73/0.90 exact (zenon_H31 zenon_H32). % 0.73/0.90 exact (zenon_H33 zenon_H34). % 0.73/0.90 (* end of lemma zenon_L16_ *) % 0.73/0.90 assert (zenon_L17_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c1_1 (a725)) -> (c2_1 (a725)) -> (c3_1 (a725)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H37 zenon_H10 zenon_H38 zenon_H39 zenon_H3a. % 0.73/0.90 generalize (zenon_H37 (a725)). zenon_intro zenon_H3b. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_Hf | zenon_intro zenon_H3c ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.73/0.90 exact (zenon_H3e zenon_H38). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.73/0.90 exact (zenon_H40 zenon_H39). % 0.73/0.90 exact (zenon_H3f zenon_H3a). % 0.73/0.90 (* end of lemma zenon_L17_ *) % 0.73/0.90 assert (zenon_L18_ : (~(hskp23)) -> (hskp23) -> False). % 0.73/0.90 do 0 intro. intros zenon_H41 zenon_H42. % 0.73/0.90 exact (zenon_H41 zenon_H42). % 0.73/0.90 (* end of lemma zenon_L18_ *) % 0.73/0.90 assert (zenon_L19_ : (~(hskp16)) -> (hskp16) -> False). % 0.73/0.90 do 0 intro. intros zenon_H43 zenon_H44. % 0.73/0.90 exact (zenon_H43 zenon_H44). % 0.73/0.90 (* end of lemma zenon_L19_ *) % 0.73/0.90 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp23)) -> (~(hskp16)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H45 zenon_H46 zenon_H41 zenon_H43. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H37 | zenon_intro zenon_H49 ]. % 0.73/0.90 apply (zenon_L17_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H42 | zenon_intro zenon_H44 ]. % 0.73/0.90 exact (zenon_H41 zenon_H42). % 0.73/0.90 exact (zenon_H43 zenon_H44). % 0.73/0.90 (* end of lemma zenon_L20_ *) % 0.73/0.90 assert (zenon_L21_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.73/0.90 do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H43 zenon_H41 zenon_H33 zenon_H35. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.90 apply (zenon_L16_); trivial. % 0.73/0.90 apply (zenon_L20_); trivial. % 0.73/0.90 (* end of lemma zenon_L21_ *) % 0.73/0.90 assert (zenon_L22_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> False). % 0.73/0.90 do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H41 zenon_H33 zenon_H35 zenon_H25 zenon_Hd zenon_H11 zenon_H13 zenon_H16 zenon_H24. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.90 apply (zenon_L12_); trivial. % 0.73/0.90 apply (zenon_L21_); trivial. % 0.73/0.90 (* end of lemma zenon_L22_ *) % 0.73/0.90 assert (zenon_L23_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a730))) -> (c0_1 (a730)) -> (c2_1 (a730)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H4f zenon_H10 zenon_H50 zenon_H51 zenon_H52. % 0.73/0.90 generalize (zenon_H4f (a730)). zenon_intro zenon_H53. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_Hf | zenon_intro zenon_H54 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.73/0.90 exact (zenon_H50 zenon_H56). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.73/0.90 exact (zenon_H58 zenon_H51). % 0.73/0.90 exact (zenon_H57 zenon_H52). % 0.73/0.90 (* end of lemma zenon_L23_ *) % 0.73/0.90 assert (zenon_L24_ : (~(hskp19)) -> (hskp19) -> False). % 0.73/0.90 do 0 intro. intros zenon_H59 zenon_H5a. % 0.73/0.90 exact (zenon_H59 zenon_H5a). % 0.73/0.90 (* end of lemma zenon_L24_ *) % 0.73/0.90 assert (zenon_L25_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (c2_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp19)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H5b zenon_H52 zenon_H51 zenon_H50 zenon_H10 zenon_Hb zenon_H59. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ]. % 0.73/0.90 apply (zenon_L23_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 0.73/0.90 exact (zenon_Hb zenon_Hc). % 0.73/0.90 exact (zenon_H59 zenon_H5a). % 0.73/0.90 (* end of lemma zenon_L25_ *) % 0.73/0.90 assert (zenon_L26_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a725))) -> (c2_1 (a725)) -> (c3_1 (a725)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H5d zenon_H10 zenon_H5e zenon_H39 zenon_H3a. % 0.73/0.90 generalize (zenon_H5d (a725)). zenon_intro zenon_H5f. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_Hf | zenon_intro zenon_H60 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H3d ]. % 0.73/0.90 exact (zenon_H5e zenon_H61). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.73/0.90 exact (zenon_H40 zenon_H39). % 0.73/0.90 exact (zenon_H3f zenon_H3a). % 0.73/0.90 (* end of lemma zenon_L26_ *) % 0.73/0.90 assert (zenon_L27_ : ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (c1_1 (a725)) -> (c3_1 (a725)) -> (c2_1 (a725)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp5)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H16 zenon_H38 zenon_H3a zenon_H39 zenon_H5d zenon_H10 zenon_H11 zenon_H13. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.73/0.90 generalize (zenon_H1d (a725)). zenon_intro zenon_H62. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_Hf | zenon_intro zenon_H63 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5e | zenon_intro zenon_H64 ]. % 0.73/0.90 apply (zenon_L26_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.73/0.90 exact (zenon_H3e zenon_H38). % 0.73/0.90 exact (zenon_H40 zenon_H39). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.73/0.90 exact (zenon_H11 zenon_H12). % 0.73/0.90 exact (zenon_H13 zenon_H14). % 0.73/0.90 (* end of lemma zenon_L27_ *) % 0.73/0.90 assert (zenon_L28_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (~(hskp18)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.73/0.90 do 0 intro. intros zenon_H65 zenon_H66 zenon_H1 zenon_H59 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_Hd zenon_H25 zenon_H35 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.90 apply (zenon_L22_); trivial. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.90 apply (zenon_L25_); trivial. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.90 apply (zenon_L16_); trivial. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.73/0.90 apply (zenon_L27_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.73/0.90 exact (zenon_H1 zenon_H2). % 0.73/0.90 exact (zenon_H43 zenon_H44). % 0.73/0.90 (* end of lemma zenon_L28_ *) % 0.73/0.90 assert (zenon_L29_ : (~(hskp22)) -> (hskp22) -> False). % 0.73/0.90 do 0 intro. intros zenon_H6b zenon_H6c. % 0.73/0.90 exact (zenon_H6b zenon_H6c). % 0.73/0.90 (* end of lemma zenon_L29_ *) % 0.73/0.90 assert (zenon_L30_ : (~(hskp8)) -> (hskp8) -> False). % 0.73/0.90 do 0 intro. intros zenon_H6d zenon_H6e. % 0.73/0.90 exact (zenon_H6d zenon_H6e). % 0.73/0.90 (* end of lemma zenon_L30_ *) % 0.73/0.90 assert (zenon_L31_ : (~(hskp0)) -> (hskp0) -> False). % 0.73/0.90 do 0 intro. intros zenon_H6f zenon_H70. % 0.73/0.90 exact (zenon_H6f zenon_H70). % 0.73/0.90 (* end of lemma zenon_L31_ *) % 0.73/0.90 assert (zenon_L32_ : ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp22)) -> (~(hskp8)) -> (~(hskp0)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H71 zenon_H6b zenon_H6d zenon_H6f. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H6c | zenon_intro zenon_H72 ]. % 0.73/0.90 exact (zenon_H6b zenon_H6c). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6e | zenon_intro zenon_H70 ]. % 0.73/0.90 exact (zenon_H6d zenon_H6e). % 0.73/0.90 exact (zenon_H6f zenon_H70). % 0.73/0.90 (* end of lemma zenon_L32_ *) % 0.73/0.90 assert (zenon_L33_ : ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp29)) -> (~(hskp0)) -> (~(hskp16)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H73 zenon_H31 zenon_H6f zenon_H43. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H32 | zenon_intro zenon_H74 ]. % 0.73/0.90 exact (zenon_H31 zenon_H32). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H70 | zenon_intro zenon_H44 ]. % 0.73/0.90 exact (zenon_H6f zenon_H70). % 0.73/0.90 exact (zenon_H43 zenon_H44). % 0.73/0.90 (* end of lemma zenon_L33_ *) % 0.73/0.90 assert (zenon_L34_ : (~(hskp28)) -> (hskp28) -> False). % 0.73/0.90 do 0 intro. intros zenon_H75 zenon_H76. % 0.73/0.90 exact (zenon_H75 zenon_H76). % 0.73/0.90 (* end of lemma zenon_L34_ *) % 0.73/0.90 assert (zenon_L35_ : (~(hskp30)) -> (hskp30) -> False). % 0.73/0.90 do 0 intro. intros zenon_H77 zenon_H78. % 0.73/0.90 exact (zenon_H77 zenon_H78). % 0.73/0.90 (* end of lemma zenon_L35_ *) % 0.73/0.90 assert (zenon_L36_ : ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp28)) -> (~(hskp30)) -> (~(hskp11)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H79 zenon_H75 zenon_H77 zenon_H1. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H76 | zenon_intro zenon_H7a ]. % 0.73/0.90 exact (zenon_H75 zenon_H76). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H78 | zenon_intro zenon_H2 ]. % 0.73/0.90 exact (zenon_H77 zenon_H78). % 0.73/0.90 exact (zenon_H1 zenon_H2). % 0.73/0.90 (* end of lemma zenon_L36_ *) % 0.73/0.90 assert (zenon_L37_ : (forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (c0_1 (a753)) -> (c2_1 (a753)) -> (c3_1 (a753)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H7b zenon_H10 zenon_H7c zenon_H7d zenon_H7e. % 0.73/0.90 generalize (zenon_H7b (a753)). zenon_intro zenon_H7f. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H7f); [ zenon_intro zenon_Hf | zenon_intro zenon_H80 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.73/0.90 exact (zenon_H82 zenon_H7c). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.73/0.90 exact (zenon_H84 zenon_H7d). % 0.73/0.90 exact (zenon_H83 zenon_H7e). % 0.73/0.90 (* end of lemma zenon_L37_ *) % 0.73/0.90 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (c3_1 (a725)) -> (c2_1 (a725)) -> (c1_1 (a725)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H85 zenon_H86 zenon_H3a zenon_H39 zenon_H38. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.73/0.90 apply (zenon_L37_); trivial. % 0.73/0.90 apply (zenon_L17_); trivial. % 0.73/0.90 (* end of lemma zenon_L38_ *) % 0.73/0.90 assert (zenon_L39_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.73/0.90 do 0 intro. intros zenon_H45 zenon_H89 zenon_H86 zenon_H75 zenon_H1 zenon_H79. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.90 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.90 apply (zenon_L36_); trivial. % 0.73/0.90 apply (zenon_L38_); trivial. % 0.73/0.90 (* end of lemma zenon_L39_ *) % 0.73/0.90 assert (zenon_L40_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a710))) -> (c1_1 (a710)) -> (c2_1 (a710)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H8a zenon_H10 zenon_H8b zenon_H8c zenon_H8d. % 0.73/0.90 generalize (zenon_H8a (a710)). zenon_intro zenon_H8e. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_Hf | zenon_intro zenon_H8f ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.73/0.90 exact (zenon_H8b zenon_H91). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.73/0.90 exact (zenon_H93 zenon_H8c). % 0.73/0.90 exact (zenon_H92 zenon_H8d). % 0.73/0.90 (* end of lemma zenon_L40_ *) % 0.73/0.90 assert (zenon_L41_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H8a zenon_H10 zenon_H94 zenon_H95 zenon_H96. % 0.73/0.90 generalize (zenon_H8a (a716)). zenon_intro zenon_H97. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_Hf | zenon_intro zenon_H98 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.73/0.90 exact (zenon_H94 zenon_H9a). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.73/0.90 exact (zenon_H9c zenon_H95). % 0.73/0.90 exact (zenon_H9b zenon_H96). % 0.73/0.90 (* end of lemma zenon_L41_ *) % 0.73/0.90 assert (zenon_L42_ : (forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H9d zenon_H10 zenon_H9e zenon_H8a zenon_H95 zenon_H96. % 0.73/0.90 generalize (zenon_H9d (a716)). zenon_intro zenon_H9f. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_H9f); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha0 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.73/0.90 exact (zenon_H9e zenon_Ha2). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H94 | zenon_intro zenon_H9c ]. % 0.73/0.90 apply (zenon_L41_); trivial. % 0.73/0.90 exact (zenon_H9c zenon_H95). % 0.73/0.90 (* end of lemma zenon_L42_ *) % 0.73/0.90 assert (zenon_L43_ : (forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Ha3 zenon_H10 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.73/0.90 generalize (zenon_Ha3 (a678)). zenon_intro zenon_Ha7. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha8 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.73/0.90 exact (zenon_Haa zenon_Ha4). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.73/0.90 exact (zenon_Hac zenon_Ha5). % 0.73/0.90 exact (zenon_Hab zenon_Ha6). % 0.73/0.90 (* end of lemma zenon_L43_ *) % 0.73/0.90 assert (zenon_L44_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (c3_1 (a678)) -> (c1_1 (a678)) -> (c0_1 (a678)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Had zenon_H96 zenon_H95 zenon_H9e zenon_H9d zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H10 zenon_H33. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_Hae ]. % 0.73/0.90 apply (zenon_L42_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H34 ]. % 0.73/0.90 apply (zenon_L43_); trivial. % 0.73/0.90 exact (zenon_H33 zenon_H34). % 0.73/0.90 (* end of lemma zenon_L44_ *) % 0.73/0.90 assert (zenon_L45_ : (~(hskp10)) -> (hskp10) -> False). % 0.73/0.90 do 0 intro. intros zenon_Haf zenon_Hb0. % 0.73/0.90 exact (zenon_Haf zenon_Hb0). % 0.73/0.90 (* end of lemma zenon_L45_ *) % 0.73/0.90 assert (zenon_L46_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (~(hskp15)) -> (~(c3_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hb1 zenon_Hb2 zenon_H8d zenon_H8c zenon_H8b zenon_H33 zenon_H9e zenon_H95 zenon_H96 zenon_Had zenon_Haf. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb5 ]. % 0.73/0.90 apply (zenon_L40_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 0.73/0.90 apply (zenon_L44_); trivial. % 0.73/0.90 exact (zenon_Haf zenon_Hb0). % 0.73/0.90 (* end of lemma zenon_L46_ *) % 0.73/0.90 assert (zenon_L47_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hb6 zenon_Hb7 zenon_Hb2 zenon_Haf zenon_H33 zenon_Had zenon_H8d zenon_H8c zenon_H8b zenon_H73 zenon_H43 zenon_H79 zenon_H1 zenon_H86 zenon_H89 zenon_H4b zenon_H6d zenon_H6f zenon_H71. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.73/0.90 apply (zenon_L32_); trivial. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.90 apply (zenon_L33_); trivial. % 0.73/0.90 apply (zenon_L39_); trivial. % 0.73/0.90 apply (zenon_L46_); trivial. % 0.73/0.90 (* end of lemma zenon_L47_ *) % 0.73/0.90 assert (zenon_L48_ : ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp28)) -> (~(hskp19)) -> (~(hskp9)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hbb zenon_H75 zenon_H59 zenon_H11. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H76 | zenon_intro zenon_Hbc ]. % 0.73/0.90 exact (zenon_H75 zenon_H76). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H5a | zenon_intro zenon_H12 ]. % 0.73/0.90 exact (zenon_H59 zenon_H5a). % 0.73/0.90 exact (zenon_H11 zenon_H12). % 0.73/0.90 (* end of lemma zenon_L48_ *) % 0.73/0.90 assert (zenon_L49_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a708))) -> (~(c2_1 (a708))) -> (c3_1 (a708)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hbd zenon_H10 zenon_Hbe zenon_Hbf zenon_Hc0. % 0.73/0.90 generalize (zenon_Hbd (a708)). zenon_intro zenon_Hc1. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_Hf | zenon_intro zenon_Hc2 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ]. % 0.73/0.90 exact (zenon_Hbe zenon_Hc4). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.73/0.90 exact (zenon_Hbf zenon_Hc6). % 0.73/0.90 exact (zenon_Hc5 zenon_Hc0). % 0.73/0.90 (* end of lemma zenon_L49_ *) % 0.73/0.90 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a708)) -> (~(c2_1 (a708))) -> (~(c1_1 (a708))) -> (~(hskp16)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hb1 zenon_Hc7 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H43. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.73/0.90 apply (zenon_L49_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.73/0.90 apply (zenon_L43_); trivial. % 0.73/0.90 exact (zenon_H43 zenon_H44). % 0.73/0.90 (* end of lemma zenon_L50_ *) % 0.73/0.90 assert (zenon_L51_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a708)) -> (~(c2_1 (a708))) -> (~(c1_1 (a708))) -> (~(hskp19)) -> (~(hskp9)) -> ((hskp28)\/((hskp19)\/(hskp9))) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hb7 zenon_Hc7 zenon_H43 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H59 zenon_H11 zenon_Hbb. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.90 apply (zenon_L48_); trivial. % 0.73/0.90 apply (zenon_L50_); trivial. % 0.73/0.90 (* end of lemma zenon_L51_ *) % 0.73/0.90 assert (zenon_L52_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a708))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (~(c2_1 (a708))) -> (c3_1 (a708)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_Hbe zenon_Hca zenon_Hbf zenon_Hc0. % 0.73/0.90 generalize (zenon_Hc9 (a708)). zenon_intro zenon_Hcb. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_Hf | zenon_intro zenon_Hcc ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hcd ]. % 0.73/0.90 exact (zenon_Hbe zenon_Hc4). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hce | zenon_intro zenon_Hc5 ]. % 0.73/0.90 generalize (zenon_Hca (a708)). zenon_intro zenon_Hcf. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd0 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hc3 ]. % 0.73/0.90 exact (zenon_Hce zenon_Hd1). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.73/0.90 exact (zenon_Hbf zenon_Hc6). % 0.73/0.90 exact (zenon_Hc5 zenon_Hc0). % 0.73/0.90 exact (zenon_Hc5 zenon_Hc0). % 0.73/0.90 (* end of lemma zenon_L52_ *) % 0.73/0.90 assert (zenon_L53_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a708)) -> (~(c2_1 (a708))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (~(c1_1 (a708))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (ndr1_0) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hd2 zenon_Hc0 zenon_Hbf zenon_Hca zenon_Hbe zenon_H8d zenon_H8c zenon_H8b zenon_H10. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.73/0.90 apply (zenon_L40_); trivial. % 0.73/0.90 apply (zenon_L52_); trivial. % 0.73/0.90 (* end of lemma zenon_L53_ *) % 0.73/0.90 assert (zenon_L54_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a708))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a708))) -> (c3_1 (a708)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hd3 zenon_H10 zenon_Hbf zenon_Hd4 zenon_Hbe zenon_Hc0. % 0.73/0.90 generalize (zenon_Hd3 (a708)). zenon_intro zenon_Hd5. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd6 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcd ]. % 0.73/0.90 exact (zenon_Hbf zenon_Hc6). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hce | zenon_intro zenon_Hc5 ]. % 0.73/0.90 generalize (zenon_Hd4 (a708)). zenon_intro zenon_Hd7. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd8 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd9 ]. % 0.73/0.90 exact (zenon_Hce zenon_Hd1). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 0.73/0.90 exact (zenon_Hbe zenon_Hc4). % 0.73/0.90 exact (zenon_Hc5 zenon_Hc0). % 0.73/0.90 exact (zenon_Hc5 zenon_Hc0). % 0.73/0.90 (* end of lemma zenon_L54_ *) % 0.73/0.90 assert (zenon_L55_ : (~(hskp7)) -> (hskp7) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hda zenon_Hdb. % 0.73/0.90 exact (zenon_Hda zenon_Hdb). % 0.73/0.90 (* end of lemma zenon_L55_ *) % 0.73/0.90 assert (zenon_L56_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c0_1 (a710))) -> (c1_1 (a710)) -> (c2_1 (a710)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a708)) -> (~(c1_1 (a708))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a708))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hdc zenon_H8b zenon_H8c zenon_H8d zenon_Hd2 zenon_Hc0 zenon_Hbe zenon_Hd4 zenon_Hbf zenon_H10 zenon_Hda. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hdd ]. % 0.73/0.90 apply (zenon_L53_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hdb ]. % 0.73/0.90 apply (zenon_L54_); trivial. % 0.73/0.90 exact (zenon_Hda zenon_Hdb). % 0.73/0.90 (* end of lemma zenon_L56_ *) % 0.73/0.90 assert (zenon_L57_ : (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a710)) -> (c2_1 (a710)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hde zenon_H10 zenon_H37 zenon_H8c zenon_H8d. % 0.73/0.90 generalize (zenon_Hde (a710)). zenon_intro zenon_Hdf. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_Hf | zenon_intro zenon_He0 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He1 | zenon_intro zenon_H90 ]. % 0.73/0.90 generalize (zenon_H37 (a710)). zenon_intro zenon_He2. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_Hf | zenon_intro zenon_He3 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H93 | zenon_intro zenon_He4 ]. % 0.73/0.90 exact (zenon_H93 zenon_H8c). % 0.73/0.90 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H92 | zenon_intro zenon_He5 ]. % 0.73/0.90 exact (zenon_H92 zenon_H8d). % 0.73/0.90 exact (zenon_He5 zenon_He1). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.73/0.90 exact (zenon_H93 zenon_H8c). % 0.73/0.90 exact (zenon_H92 zenon_H8d). % 0.73/0.90 (* end of lemma zenon_L57_ *) % 0.73/0.90 assert (zenon_L58_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a708)) -> (~(c2_1 (a708))) -> (~(c1_1 (a708))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.73/0.90 do 0 intro. intros zenon_He6 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_H8d zenon_H8c zenon_H37 zenon_H10 zenon_Haf. % 0.73/0.90 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.73/0.90 apply (zenon_L49_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.73/0.90 apply (zenon_L57_); trivial. % 0.73/0.90 exact (zenon_Haf zenon_Hb0). % 0.73/0.90 (* end of lemma zenon_L58_ *) % 0.73/0.90 assert (zenon_L59_ : (~(hskp12)) -> (hskp12) -> False). % 0.73/0.90 do 0 intro. intros zenon_He8 zenon_He9. % 0.73/0.90 exact (zenon_He8 zenon_He9). % 0.73/0.90 (* end of lemma zenon_L59_ *) % 0.73/0.90 assert (zenon_L60_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> (~(hskp7)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp10)) -> (~(c1_1 (a708))) -> (~(c2_1 (a708))) -> (c3_1 (a708)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp12)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hea zenon_Heb zenon_Hda zenon_Hd2 zenon_Hdc zenon_Haf zenon_Hbe zenon_Hbf zenon_Hc0 zenon_He6 zenon_He8. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.90 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.73/0.90 apply (zenon_L56_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H37 | zenon_intro zenon_He9 ]. % 0.73/0.90 apply (zenon_L58_); trivial. % 0.73/0.90 exact (zenon_He8 zenon_He9). % 0.73/0.90 (* end of lemma zenon_L60_ *) % 0.73/0.90 assert (zenon_L61_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a708))) -> (~(c2_1 (a708))) -> (c3_1 (a708)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hef zenon_Heb zenon_He8 zenon_Haf zenon_He6 zenon_Hd2 zenon_Hda zenon_Hdc zenon_Hbb zenon_H11 zenon_Hbe zenon_Hbf zenon_Hc0 zenon_H43 zenon_Hc7 zenon_Hb7. % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.90 apply (zenon_L51_); trivial. % 0.73/0.90 apply (zenon_L60_); trivial. % 0.73/0.90 (* end of lemma zenon_L61_ *) % 0.73/0.90 assert (zenon_L62_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a702))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hd4 zenon_H10 zenon_Hf0 zenon_Hf1 zenon_Hf2. % 0.73/0.90 generalize (zenon_Hd4 (a702)). zenon_intro zenon_Hf3. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf | zenon_intro zenon_Hf4 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ]. % 0.73/0.90 exact (zenon_Hf0 zenon_Hf6). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf7 ]. % 0.73/0.90 exact (zenon_Hf1 zenon_Hf8). % 0.73/0.90 exact (zenon_Hf7 zenon_Hf2). % 0.73/0.90 (* end of lemma zenon_L62_ *) % 0.73/0.90 assert (zenon_L63_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a702))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H4f zenon_H10 zenon_Hf1 zenon_Hd4 zenon_Hf2 zenon_Hf9. % 0.73/0.90 generalize (zenon_H4f (a702)). zenon_intro zenon_Hfa. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf | zenon_intro zenon_Hfb ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hfc ]. % 0.73/0.90 exact (zenon_Hf1 zenon_Hf8). % 0.73/0.90 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hfd ]. % 0.73/0.90 apply (zenon_L62_); trivial. % 0.73/0.90 exact (zenon_Hfd zenon_Hf9). % 0.73/0.90 (* end of lemma zenon_L63_ *) % 0.73/0.90 assert (zenon_L64_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a702))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> False). % 0.73/0.90 do 0 intro. intros zenon_Hfe zenon_H10 zenon_Hf1 zenon_Hf9 zenon_Hf2. % 0.73/0.90 generalize (zenon_Hfe (a702)). zenon_intro zenon_Hff. % 0.73/0.90 apply (zenon_imply_s _ _ zenon_Hff); [ zenon_intro zenon_Hf | zenon_intro zenon_H100 ]. % 0.73/0.90 exact (zenon_Hf zenon_H10). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H101 ]. % 0.73/0.90 exact (zenon_Hf1 zenon_Hf8). % 0.73/0.90 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hf7 ]. % 0.73/0.90 exact (zenon_Hfd zenon_Hf9). % 0.73/0.90 exact (zenon_Hf7 zenon_Hf2). % 0.73/0.90 (* end of lemma zenon_L64_ *) % 0.73/0.90 assert (zenon_L65_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.73/0.90 do 0 intro. intros zenon_H102 zenon_Hd4 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H10 zenon_H41. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H4f | zenon_intro zenon_H103 ]. % 0.73/0.90 apply (zenon_L63_); trivial. % 0.73/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_H42 ]. % 0.73/0.90 apply (zenon_L64_); trivial. % 0.73/0.90 exact (zenon_H41 zenon_H42). % 0.73/0.90 (* end of lemma zenon_L65_ *) % 0.73/0.90 assert (zenon_L66_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp23)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H104 zenon_H41 zenon_H102 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H10 zenon_H1. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.91 apply (zenon_L65_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.91 apply (zenon_L64_); trivial. % 0.73/0.91 exact (zenon_H1 zenon_H2). % 0.73/0.91 (* end of lemma zenon_L66_ *) % 0.73/0.91 assert (zenon_L67_ : (~(hskp26)) -> (hskp26) -> False). % 0.73/0.91 do 0 intro. intros zenon_H106 zenon_H107. % 0.73/0.91 exact (zenon_H106 zenon_H107). % 0.73/0.91 (* end of lemma zenon_L67_ *) % 0.73/0.91 assert (zenon_L68_ : ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp30)) -> (~(hskp26)) -> (~(hskp12)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H108 zenon_H77 zenon_H106 zenon_He8. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H78 | zenon_intro zenon_H109 ]. % 0.73/0.91 exact (zenon_H77 zenon_H78). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H107 | zenon_intro zenon_He9 ]. % 0.73/0.91 exact (zenon_H106 zenon_H107). % 0.73/0.91 exact (zenon_He8 zenon_He9). % 0.73/0.91 (* end of lemma zenon_L68_ *) % 0.73/0.91 assert (zenon_L69_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H45 zenon_H89 zenon_H86 zenon_H106 zenon_He8 zenon_H108. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.91 apply (zenon_L68_); trivial. % 0.73/0.91 apply (zenon_L38_); trivial. % 0.73/0.91 (* end of lemma zenon_L69_ *) % 0.73/0.91 assert (zenon_L70_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a731))) -> (~(c3_1 (a731))) -> (c0_1 (a731)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4b zenon_H89 zenon_H86 zenon_H106 zenon_He8 zenon_H108 zenon_H10 zenon_H28 zenon_H29 zenon_H2a zenon_H33 zenon_H35. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L16_); trivial. % 0.73/0.91 apply (zenon_L69_); trivial. % 0.73/0.91 (* end of lemma zenon_L70_ *) % 0.73/0.91 assert (zenon_L71_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (ndr1_0) -> (~(c0_1 (a762))) -> (~(c3_1 (a762))) -> (c1_1 (a762)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H10a zenon_H10 zenon_H10b zenon_H10c zenon_H10d. % 0.73/0.91 generalize (zenon_H10a (a762)). zenon_intro zenon_H10e. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_Hf | zenon_intro zenon_H10f ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.73/0.91 exact (zenon_H10b zenon_H111). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 0.73/0.91 exact (zenon_H10c zenon_H113). % 0.73/0.91 exact (zenon_H112 zenon_H10d). % 0.73/0.91 (* end of lemma zenon_L71_ *) % 0.73/0.91 assert (zenon_L72_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a702))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a702)) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_Hf1 zenon_Hd4 zenon_Hf2. % 0.73/0.91 generalize (zenon_Hc9 (a702)). zenon_intro zenon_H114. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H114); [ zenon_intro zenon_Hf | zenon_intro zenon_H115 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H116 ]. % 0.73/0.91 exact (zenon_Hf1 zenon_Hf8). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf7 ]. % 0.73/0.91 apply (zenon_L62_); trivial. % 0.73/0.91 exact (zenon_Hf7 zenon_Hf2). % 0.73/0.91 (* end of lemma zenon_L72_ *) % 0.73/0.91 assert (zenon_L73_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c1_1 (a762)) -> (~(c3_1 (a762))) -> (~(c0_1 (a762))) -> (c3_1 (a702)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H117 zenon_H10d zenon_H10c zenon_H10b zenon_Hf2 zenon_Hd4 zenon_Hf1 zenon_H10 zenon_H6d. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.73/0.91 apply (zenon_L71_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.73/0.91 apply (zenon_L72_); trivial. % 0.73/0.91 exact (zenon_H6d zenon_H6e). % 0.73/0.91 (* end of lemma zenon_L73_ *) % 0.73/0.91 assert (zenon_L74_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp11)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H119 zenon_H104 zenon_H6d zenon_H117 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H1. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.91 apply (zenon_L73_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.91 apply (zenon_L64_); trivial. % 0.73/0.91 exact (zenon_H1 zenon_H2). % 0.73/0.91 (* end of lemma zenon_L74_ *) % 0.73/0.91 assert (zenon_L75_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a702)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (ndr1_0) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hd2 zenon_Hf2 zenon_Hd4 zenon_Hf1 zenon_H8d zenon_H8c zenon_H8b zenon_H10. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.73/0.91 apply (zenon_L40_); trivial. % 0.73/0.91 apply (zenon_L72_); trivial. % 0.73/0.91 (* end of lemma zenon_L75_ *) % 0.73/0.91 assert (zenon_L76_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp11)) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hea zenon_H104 zenon_Hd2 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H1. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.91 apply (zenon_L75_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.91 apply (zenon_L64_); trivial. % 0.73/0.91 exact (zenon_H1 zenon_H2). % 0.73/0.91 (* end of lemma zenon_L76_ *) % 0.73/0.91 assert (zenon_L77_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hef zenon_Hd2 zenon_H104 zenon_H1 zenon_H10 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H102 zenon_H5b zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H33 zenon_H35 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.91 apply (zenon_L66_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.91 apply (zenon_L25_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.73/0.91 apply (zenon_L70_); trivial. % 0.73/0.91 apply (zenon_L74_); trivial. % 0.73/0.91 apply (zenon_L76_); trivial. % 0.73/0.91 (* end of lemma zenon_L77_ *) % 0.73/0.91 assert (zenon_L78_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (ndr1_0) -> (~(c0_1 (a700))) -> (~(c3_1 (a700))) -> (c2_1 (a700)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H11d zenon_H10 zenon_H11e zenon_H11f zenon_H120. % 0.73/0.91 generalize (zenon_H11d (a700)). zenon_intro zenon_H121. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_Hf | zenon_intro zenon_H122 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.73/0.91 exact (zenon_H11e zenon_H124). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.73/0.91 exact (zenon_H11f zenon_H126). % 0.73/0.91 exact (zenon_H125 zenon_H120). % 0.73/0.91 (* end of lemma zenon_L78_ *) % 0.73/0.91 assert (zenon_L79_ : (~(hskp14)) -> (hskp14) -> False). % 0.73/0.91 do 0 intro. intros zenon_H127 zenon_H128. % 0.73/0.91 exact (zenon_H127 zenon_H128). % 0.73/0.91 (* end of lemma zenon_L79_ *) % 0.73/0.91 assert (zenon_L80_ : (~(hskp1)) -> (hskp1) -> False). % 0.73/0.91 do 0 intro. intros zenon_H129 zenon_H12a. % 0.73/0.91 exact (zenon_H129 zenon_H12a). % 0.73/0.91 (* end of lemma zenon_L80_ *) % 0.73/0.91 assert (zenon_L81_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp1)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H12b zenon_H120 zenon_H11f zenon_H11e zenon_H10 zenon_H127 zenon_H129. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H11d | zenon_intro zenon_H12c ]. % 0.73/0.91 apply (zenon_L78_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H128 | zenon_intro zenon_H12a ]. % 0.73/0.91 exact (zenon_H127 zenon_H128). % 0.73/0.91 exact (zenon_H129 zenon_H12a). % 0.73/0.91 (* end of lemma zenon_L81_ *) % 0.73/0.91 assert (zenon_L82_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp23)) -> (~(hskp0)) -> (~(hskp16)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4b zenon_H46 zenon_H41 zenon_H6f zenon_H43 zenon_H73. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L33_); trivial. % 0.73/0.91 apply (zenon_L20_); trivial. % 0.73/0.91 (* end of lemma zenon_L82_ *) % 0.73/0.91 assert (zenon_L83_ : (~(hskp20)) -> (hskp20) -> False). % 0.73/0.91 do 0 intro. intros zenon_H12d zenon_H12e. % 0.73/0.91 exact (zenon_H12d zenon_H12e). % 0.73/0.91 (* end of lemma zenon_L83_ *) % 0.73/0.91 assert (zenon_L84_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> (~(hskp19)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4a zenon_H12f zenon_H12d zenon_H59. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H27 | zenon_intro zenon_H130 ]. % 0.73/0.91 apply (zenon_L13_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12e | zenon_intro zenon_H5a ]. % 0.73/0.91 exact (zenon_H12d zenon_H12e). % 0.73/0.91 exact (zenon_H59 zenon_H5a). % 0.73/0.91 (* end of lemma zenon_L84_ *) % 0.73/0.91 assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H67 zenon_H4e zenon_H12f zenon_H12d zenon_H59 zenon_H5b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.91 apply (zenon_L25_); trivial. % 0.73/0.91 apply (zenon_L84_); trivial. % 0.73/0.91 (* end of lemma zenon_L85_ *) % 0.73/0.91 assert (zenon_L86_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a715))) -> (~(c3_1 (a715))) -> (c0_1 (a715)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H131 zenon_H10 zenon_H132 zenon_H133 zenon_H134. % 0.73/0.91 generalize (zenon_H131 (a715)). zenon_intro zenon_H135. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_Hf | zenon_intro zenon_H136 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 0.73/0.91 exact (zenon_H132 zenon_H138). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.73/0.91 exact (zenon_H133 zenon_H13a). % 0.73/0.91 exact (zenon_H139 zenon_H134). % 0.73/0.91 (* end of lemma zenon_L86_ *) % 0.73/0.91 assert (zenon_L87_ : (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c2_1 (a711))) -> (c0_1 (a711)) -> (c1_1 (a711)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H13b zenon_H10 zenon_H13c zenon_H13d zenon_H13e. % 0.73/0.91 generalize (zenon_H13b (a711)). zenon_intro zenon_H13f. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_Hf | zenon_intro zenon_H140 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.73/0.91 exact (zenon_H13c zenon_H142). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.73/0.91 exact (zenon_H144 zenon_H13d). % 0.73/0.91 exact (zenon_H143 zenon_H13e). % 0.73/0.91 (* end of lemma zenon_L87_ *) % 0.73/0.91 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (c0_1 (a715)) -> (~(c3_1 (a715))) -> (~(c2_1 (a715))) -> (~(c3_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H145 zenon_H13e zenon_H13d zenon_H13c zenon_H134 zenon_H133 zenon_H132 zenon_H9e zenon_H95 zenon_H96 zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.91 apply (zenon_L25_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L16_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H8a | zenon_intro zenon_H147 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H27 | zenon_intro zenon_H148 ]. % 0.73/0.91 apply (zenon_L13_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H9d | zenon_intro zenon_H37 ]. % 0.73/0.91 apply (zenon_L42_); trivial. % 0.73/0.91 apply (zenon_L17_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H131 | zenon_intro zenon_H13b ]. % 0.73/0.91 apply (zenon_L86_); trivial. % 0.73/0.91 apply (zenon_L87_); trivial. % 0.73/0.91 (* end of lemma zenon_L88_ *) % 0.73/0.91 assert (zenon_L89_ : ((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H149 zenon_Hb6 zenon_H65 zenon_H4e zenon_H145 zenon_H13e zenon_H13d zenon_H13c zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H73 zenon_H43 zenon_H46 zenon_H4b zenon_H6d zenon_H6f zenon_H71. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H10. zenon_intro zenon_H14a. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H134. zenon_intro zenon_H14b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.73/0.91 apply (zenon_L32_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.91 apply (zenon_L82_); trivial. % 0.73/0.91 apply (zenon_L88_); trivial. % 0.73/0.91 (* end of lemma zenon_L89_ *) % 0.73/0.91 assert (zenon_L90_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H14c zenon_Hb6 zenon_H65 zenon_H4e zenon_H145 zenon_H13e zenon_H13d zenon_H13c zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H73 zenon_H43 zenon_H46 zenon_H4b zenon_H6d zenon_H6f zenon_H71 zenon_H1 zenon_H5 zenon_H7. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.73/0.91 apply (zenon_L4_); trivial. % 0.73/0.91 apply (zenon_L89_); trivial. % 0.73/0.91 (* end of lemma zenon_L90_ *) % 0.73/0.91 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H14d zenon_H14c zenon_Hb6 zenon_H65 zenon_H4e zenon_H145 zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H73 zenon_H43 zenon_H46 zenon_H4b zenon_H6d zenon_H6f zenon_H71 zenon_H1 zenon_H5 zenon_H7. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.73/0.91 apply (zenon_L90_); trivial. % 0.73/0.91 (* end of lemma zenon_L91_ *) % 0.73/0.91 assert (zenon_L92_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> (~(hskp16)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H150 zenon_H14c zenon_Hb6 zenon_H145 zenon_H146 zenon_H33 zenon_H35 zenon_H6d zenon_H71 zenon_H1 zenon_H5 zenon_H7 zenon_H4b zenon_H46 zenon_H6f zenon_H43 zenon_H73 zenon_H5b zenon_H59 zenon_H12f zenon_H4e zenon_H65. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.91 apply (zenon_L82_); trivial. % 0.73/0.91 apply (zenon_L85_); trivial. % 0.73/0.91 apply (zenon_L91_); trivial. % 0.73/0.91 (* end of lemma zenon_L92_ *) % 0.73/0.91 assert (zenon_L93_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hef zenon_Hb7 zenon_Hb2 zenon_Haf zenon_Had zenon_H79 zenon_H86 zenon_H89 zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H73 zenon_H43 zenon_H6f zenon_H46 zenon_H4b zenon_H7 zenon_H5 zenon_H1 zenon_H71 zenon_H6d zenon_H35 zenon_H33 zenon_H146 zenon_H145 zenon_Hb6 zenon_H14c zenon_H150. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_L92_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.91 apply (zenon_L47_); trivial. % 0.73/0.91 (* end of lemma zenon_L93_ *) % 0.73/0.91 assert (zenon_L94_ : ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (c2_1 (a696)) -> (~(c3_1 (a696))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (c0_1 (a696)) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp5)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H16 zenon_H151 zenon_H152 zenon_H153 zenon_H154 zenon_H10 zenon_H11 zenon_H13. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.73/0.91 generalize (zenon_H1d (a696)). zenon_intro zenon_H155. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_Hf | zenon_intro zenon_H156 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 0.73/0.91 exact (zenon_H158 zenon_H154). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.73/0.91 generalize (zenon_H153 (a696)). zenon_intro zenon_H15b. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_Hf | zenon_intro zenon_H15c ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.73/0.91 exact (zenon_H15a zenon_H15e). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H159 ]. % 0.73/0.91 exact (zenon_H152 zenon_H15f). % 0.73/0.91 exact (zenon_H159 zenon_H151). % 0.73/0.91 exact (zenon_H159 zenon_H151). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.73/0.91 exact (zenon_H11 zenon_H12). % 0.73/0.91 exact (zenon_H13 zenon_H14). % 0.73/0.91 (* end of lemma zenon_L94_ *) % 0.73/0.91 assert (zenon_L95_ : (~(hskp13)) -> (hskp13) -> False). % 0.73/0.91 do 0 intro. intros zenon_H160 zenon_H161. % 0.73/0.91 exact (zenon_H160 zenon_H161). % 0.73/0.91 (* end of lemma zenon_L95_ *) % 0.73/0.91 assert (zenon_L96_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp5)) -> (~(hskp9)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp13)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H162 zenon_H163 zenon_H13 zenon_H11 zenon_H154 zenon_H152 zenon_H151 zenon_H16 zenon_H160. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H153 | zenon_intro zenon_H166 ]. % 0.73/0.91 apply (zenon_L94_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hfe | zenon_intro zenon_H161 ]. % 0.73/0.91 apply (zenon_L64_); trivial. % 0.73/0.91 exact (zenon_H160 zenon_H161). % 0.73/0.91 (* end of lemma zenon_L96_ *) % 0.73/0.91 assert (zenon_L97_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a700))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (c2_1 (a700)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H8a zenon_H10 zenon_H11e zenon_H167 zenon_H120. % 0.73/0.91 generalize (zenon_H8a (a700)). zenon_intro zenon_H168. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_Hf | zenon_intro zenon_H169 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H124 | zenon_intro zenon_H16a ]. % 0.73/0.91 exact (zenon_H11e zenon_H124). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16b | zenon_intro zenon_H125 ]. % 0.73/0.91 generalize (zenon_H167 (a700)). zenon_intro zenon_H16c. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_Hf | zenon_intro zenon_H16d ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H124 | zenon_intro zenon_H16e ]. % 0.73/0.91 exact (zenon_H11e zenon_H124). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H16f | zenon_intro zenon_H125 ]. % 0.73/0.91 exact (zenon_H16b zenon_H16f). % 0.73/0.91 exact (zenon_H125 zenon_H120). % 0.73/0.91 exact (zenon_H125 zenon_H120). % 0.73/0.91 (* end of lemma zenon_L97_ *) % 0.73/0.91 assert (zenon_L98_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> (~(c0_1 (a700))) -> (c2_1 (a700)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp0)) -> (~(hskp16)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4b zenon_H170 zenon_H5 zenon_Haf zenon_H11e zenon_H120 zenon_H86 zenon_H171 zenon_H6f zenon_H43 zenon_H73. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L33_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H167 | zenon_intro zenon_H172 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H8a | zenon_intro zenon_H173 ]. % 0.73/0.91 apply (zenon_L97_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5d | zenon_intro zenon_H37 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.73/0.91 generalize (zenon_H7b (a725)). zenon_intro zenon_H174. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H174); [ zenon_intro zenon_Hf | zenon_intro zenon_H175 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H5e | zenon_intro zenon_H3d ]. % 0.73/0.91 apply (zenon_L26_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.73/0.91 exact (zenon_H40 zenon_H39). % 0.73/0.91 exact (zenon_H3f zenon_H3a). % 0.73/0.91 apply (zenon_L17_); trivial. % 0.73/0.91 apply (zenon_L17_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H6 ]. % 0.73/0.91 exact (zenon_Haf zenon_Hb0). % 0.73/0.91 exact (zenon_H5 zenon_H6). % 0.73/0.91 (* end of lemma zenon_L98_ *) % 0.73/0.91 assert (zenon_L99_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H176 zenon_H177 zenon_H163 zenon_H160 zenon_H154 zenon_H152 zenon_H151 zenon_H11 zenon_H13 zenon_H16 zenon_H73 zenon_H6f zenon_H171 zenon_H86 zenon_Haf zenon_H5 zenon_H170 zenon_H4b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.91 apply (zenon_L98_); trivial. % 0.73/0.91 apply (zenon_L96_); trivial. % 0.73/0.91 (* end of lemma zenon_L99_ *) % 0.73/0.91 assert (zenon_L100_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (c2_1 (a696)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (~(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H17a zenon_H171 zenon_H170 zenon_Hef zenon_Hb7 zenon_Hb2 zenon_Haf zenon_Had zenon_H79 zenon_H86 zenon_H89 zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H7 zenon_H5 zenon_H1 zenon_H71 zenon_H6d zenon_H35 zenon_H146 zenon_H145 zenon_Hb6 zenon_H14c zenon_H150 zenon_H16 zenon_H13 zenon_H11 zenon_H151 zenon_H152 zenon_H154 zenon_H160 zenon_H163 zenon_H177. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.91 apply (zenon_L93_); trivial. % 0.73/0.91 apply (zenon_L96_); trivial. % 0.73/0.91 apply (zenon_L99_); trivial. % 0.73/0.91 (* end of lemma zenon_L100_ *) % 0.73/0.91 assert (zenon_L101_ : (forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H9d zenon_H10 zenon_H17b zenon_H17c zenon_H17d. % 0.73/0.91 generalize (zenon_H9d (a688)). zenon_intro zenon_H17e. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H17e); [ zenon_intro zenon_Hf | zenon_intro zenon_H17f ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.73/0.91 exact (zenon_H17b zenon_H181). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.73/0.91 exact (zenon_H183 zenon_H17c). % 0.73/0.91 exact (zenon_H182 zenon_H17d). % 0.73/0.91 (* end of lemma zenon_L101_ *) % 0.73/0.91 assert (zenon_L102_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp10)) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hea zenon_Hb2 zenon_H17d zenon_H17c zenon_H17b zenon_Haf. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb5 ]. % 0.73/0.91 apply (zenon_L40_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 0.73/0.91 apply (zenon_L101_); trivial. % 0.73/0.91 exact (zenon_Haf zenon_Hb0). % 0.73/0.91 (* end of lemma zenon_L102_ *) % 0.73/0.91 assert (zenon_L103_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H45 zenon_H146 zenon_H2a zenon_H29 zenon_H28 zenon_H17d zenon_H17c zenon_H17b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H27 | zenon_intro zenon_H148 ]. % 0.73/0.91 apply (zenon_L13_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H9d | zenon_intro zenon_H37 ]. % 0.73/0.91 apply (zenon_L101_); trivial. % 0.73/0.91 apply (zenon_L17_); trivial. % 0.73/0.91 (* end of lemma zenon_L103_ *) % 0.73/0.91 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4a zenon_H4b zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H33 zenon_H35. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L16_); trivial. % 0.73/0.91 apply (zenon_L103_); trivial. % 0.73/0.91 (* end of lemma zenon_L104_ *) % 0.73/0.91 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.91 apply (zenon_L25_); trivial. % 0.73/0.91 apply (zenon_L104_); trivial. % 0.73/0.91 (* end of lemma zenon_L105_ *) % 0.73/0.91 assert (zenon_L106_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H65 zenon_H4e zenon_H4b zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H102 zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H10 zenon_H1 zenon_H104. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.91 apply (zenon_L66_); trivial. % 0.73/0.91 apply (zenon_L105_); trivial. % 0.73/0.91 (* end of lemma zenon_L106_ *) % 0.73/0.91 assert (zenon_L107_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hd2 zenon_H104 zenon_H1 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4b zenon_H4e zenon_H65. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_L106_); trivial. % 0.73/0.91 apply (zenon_L76_); trivial. % 0.73/0.91 (* end of lemma zenon_L107_ *) % 0.73/0.91 assert (zenon_L108_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H176 zenon_H170 zenon_H17b zenon_H17c zenon_H17d zenon_Hb2 zenon_Haf zenon_H5. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H167 | zenon_intro zenon_H172 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb5 ]. % 0.73/0.91 apply (zenon_L97_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 0.73/0.91 apply (zenon_L101_); trivial. % 0.73/0.91 exact (zenon_Haf zenon_Hb0). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H6 ]. % 0.73/0.91 exact (zenon_Haf zenon_Hb0). % 0.73/0.91 exact (zenon_H5 zenon_H6). % 0.73/0.91 (* end of lemma zenon_L108_ *) % 0.73/0.91 assert (zenon_L109_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H17a zenon_H170 zenon_Hef zenon_Hb2 zenon_Haf zenon_H17d zenon_H17c zenon_H17b zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H7 zenon_H5 zenon_H1 zenon_H71 zenon_H6d zenon_H35 zenon_H146 zenon_H145 zenon_Hb6 zenon_H14c zenon_H150 zenon_H102 zenon_H104 zenon_Hd2 zenon_H177. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_L92_); trivial. % 0.73/0.91 apply (zenon_L102_); trivial. % 0.73/0.91 apply (zenon_L107_); trivial. % 0.73/0.91 apply (zenon_L108_); trivial. % 0.73/0.91 (* end of lemma zenon_L109_ *) % 0.73/0.91 assert (zenon_L110_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a731))) -> (~(c3_1 (a731))) -> (c0_1 (a731)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4b zenon_H89 zenon_H86 zenon_H75 zenon_H1 zenon_H79 zenon_H10 zenon_H28 zenon_H29 zenon_H2a zenon_H33 zenon_H35. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.91 apply (zenon_L16_); trivial. % 0.73/0.91 apply (zenon_L39_); trivial. % 0.73/0.91 (* end of lemma zenon_L110_ *) % 0.73/0.91 assert (zenon_L111_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hbd zenon_H10 zenon_H184 zenon_H185 zenon_H186 zenon_H187. % 0.73/0.91 generalize (zenon_Hbd (a684)). zenon_intro zenon_H188. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_Hf | zenon_intro zenon_H189 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 0.73/0.91 generalize (zenon_H184 (a684)). zenon_intro zenon_H18c. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H18c); [ zenon_intro zenon_Hf | zenon_intro zenon_H18d ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 0.73/0.91 exact (zenon_H185 zenon_H18f). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 0.73/0.91 exact (zenon_H191 zenon_H18b). % 0.73/0.91 exact (zenon_H190 zenon_H186). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H192 | zenon_intro zenon_H190 ]. % 0.73/0.91 exact (zenon_H187 zenon_H192). % 0.73/0.91 exact (zenon_H190 zenon_H186). % 0.73/0.91 (* end of lemma zenon_L111_ *) % 0.73/0.91 assert (zenon_L112_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a678)) -> (c1_1 (a678)) -> (c0_1 (a678)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H184 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H10 zenon_H43. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.73/0.91 apply (zenon_L111_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.73/0.91 apply (zenon_L43_); trivial. % 0.73/0.91 exact (zenon_H43 zenon_H44). % 0.73/0.91 (* end of lemma zenon_L112_ *) % 0.73/0.91 assert (zenon_L113_ : (~(hskp3)) -> (hskp3) -> False). % 0.73/0.91 do 0 intro. intros zenon_H193 zenon_H194. % 0.73/0.91 exact (zenon_H193 zenon_H194). % 0.73/0.91 (* end of lemma zenon_L113_ *) % 0.73/0.91 assert (zenon_L114_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.73/0.91 do 0 intro. intros zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H184 zenon_H8d zenon_H8c zenon_H37 zenon_H10 zenon_Haf. % 0.73/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.73/0.91 apply (zenon_L111_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.73/0.91 apply (zenon_L57_); trivial. % 0.73/0.91 exact (zenon_Haf zenon_Hb0). % 0.73/0.91 (* end of lemma zenon_L114_ *) % 0.73/0.91 assert (zenon_L115_ : ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> (c1_1 (a710)) -> (c2_1 (a710)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> False). % 0.73/0.91 do 0 intro. intros zenon_H86 zenon_H184 zenon_H185 zenon_H186 zenon_H187 zenon_H8c zenon_H8d zenon_Haf zenon_He6 zenon_H7e zenon_H7d zenon_H7c zenon_H10. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.73/0.91 apply (zenon_L37_); trivial. % 0.73/0.91 apply (zenon_L114_); trivial. % 0.73/0.91 (* end of lemma zenon_L115_ *) % 0.73/0.91 assert (zenon_L116_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))) -> (c0_1 (a753)) -> (c3_1 (a753)) -> (c2_1 (a753)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H4f zenon_H10 zenon_Ha3 zenon_H7c zenon_H7e zenon_H7d. % 0.73/0.91 generalize (zenon_H4f (a753)). zenon_intro zenon_H195. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_Hf | zenon_intro zenon_H196 ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.73/0.91 generalize (zenon_Ha3 (a753)). zenon_intro zenon_H199. % 0.73/0.91 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_Hf | zenon_intro zenon_H19a ]. % 0.73/0.91 exact (zenon_Hf zenon_H10). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H82 | zenon_intro zenon_H19b ]. % 0.73/0.91 exact (zenon_H82 zenon_H7c). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19c | zenon_intro zenon_H83 ]. % 0.73/0.91 exact (zenon_H19c zenon_H198). % 0.73/0.91 exact (zenon_H83 zenon_H7e). % 0.73/0.91 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H82 | zenon_intro zenon_H84 ]. % 0.73/0.91 exact (zenon_H82 zenon_H7c). % 0.73/0.91 exact (zenon_H84 zenon_H7d). % 0.73/0.91 (* end of lemma zenon_L116_ *) % 0.73/0.91 assert (zenon_L117_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.73/0.91 do 0 intro. intros zenon_H19d zenon_He6 zenon_Haf zenon_H8d zenon_H8c zenon_H187 zenon_H186 zenon_H185 zenon_H86 zenon_H7d zenon_H7e zenon_H7c zenon_Ha3 zenon_H10 zenon_H193. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.73/0.91 apply (zenon_L115_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.73/0.91 apply (zenon_L116_); trivial. % 0.73/0.91 exact (zenon_H193 zenon_H194). % 0.73/0.91 (* end of lemma zenon_L117_ *) % 0.73/0.91 assert (zenon_L118_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (~(hskp15)) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hb1 zenon_Had zenon_H8d zenon_H8c zenon_H8b zenon_H33. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_Hae ]. % 0.73/0.91 apply (zenon_L40_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H34 ]. % 0.73/0.91 apply (zenon_L43_); trivial. % 0.73/0.91 exact (zenon_H33 zenon_H34). % 0.73/0.91 (* end of lemma zenon_L118_ *) % 0.73/0.91 assert (zenon_L119_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H86 zenon_H33 zenon_Had zenon_H89. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.91 apply (zenon_L36_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_Hae ]. % 0.73/0.91 apply (zenon_L40_); trivial. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H34 ]. % 0.73/0.91 apply (zenon_L117_); trivial. % 0.73/0.91 exact (zenon_H33 zenon_H34). % 0.73/0.91 apply (zenon_L118_); trivial. % 0.73/0.91 (* end of lemma zenon_L119_ *) % 0.73/0.91 assert (zenon_L120_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H19f zenon_Hef zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H86 zenon_H33 zenon_Had zenon_H89 zenon_Hbb zenon_H11 zenon_H43 zenon_Hc7 zenon_Hb7. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_L51_); trivial. % 0.73/0.91 apply (zenon_L119_); trivial. % 0.73/0.91 (* end of lemma zenon_L120_ *) % 0.73/0.91 assert (zenon_L121_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.73/0.91 do 0 intro. intros zenon_H1a2 zenon_Hbb zenon_H65 zenon_Hb7 zenon_H19d zenon_H193 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H79 zenon_H1 zenon_H86 zenon_H89 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_Had zenon_Haf zenon_He6 zenon_Hef. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.91 apply (zenon_L22_); trivial. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.91 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L25_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.92 apply (zenon_L110_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.73/0.92 apply (zenon_L112_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.73/0.92 apply (zenon_L23_); trivial. % 0.73/0.92 exact (zenon_H193 zenon_H194). % 0.73/0.92 apply (zenon_L119_); trivial. % 0.73/0.92 apply (zenon_L120_); trivial. % 0.73/0.92 (* end of lemma zenon_L121_ *) % 0.73/0.92 assert (zenon_L122_ : (forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H7b zenon_H10 zenon_Hd4 zenon_Hf1 zenon_Hf2 zenon_Hf9. % 0.73/0.92 generalize (zenon_H7b (a702)). zenon_intro zenon_H1a3. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a4 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H101 ]. % 0.73/0.92 apply (zenon_L62_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hf7 ]. % 0.73/0.92 exact (zenon_Hfd zenon_Hf9). % 0.73/0.92 exact (zenon_Hf7 zenon_Hf2). % 0.73/0.92 (* end of lemma zenon_L122_ *) % 0.73/0.92 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H104 zenon_H1 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H86 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L25_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.92 apply (zenon_L16_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.73/0.92 apply (zenon_L122_); trivial. % 0.73/0.92 apply (zenon_L17_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 (* end of lemma zenon_L123_ *) % 0.73/0.92 assert (zenon_L124_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H65 zenon_H4e zenon_H4b zenon_H86 zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H102 zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H10 zenon_H1 zenon_H104. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.92 apply (zenon_L66_); trivial. % 0.73/0.92 apply (zenon_L123_); trivial. % 0.73/0.92 (* end of lemma zenon_L124_ *) % 0.73/0.92 assert (zenon_L125_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hb7 zenon_H79 zenon_H19d zenon_H193 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_Had zenon_H89 zenon_H104 zenon_H1 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H86 zenon_H4b zenon_H4e zenon_H65. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_L124_); trivial. % 0.73/0.92 apply (zenon_L119_); trivial. % 0.73/0.92 (* end of lemma zenon_L125_ *) % 0.73/0.92 assert (zenon_L126_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H177 zenon_H104 zenon_H102 zenon_Hef zenon_He6 zenon_Haf zenon_Had zenon_H4e zenon_H4b zenon_H46 zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H5b zenon_H89 zenon_H86 zenon_H1 zenon_H79 zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H193 zenon_H19d zenon_Hb7 zenon_H65 zenon_Hbb zenon_H1a2. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L121_); trivial. % 0.73/0.92 apply (zenon_L125_); trivial. % 0.73/0.92 (* end of lemma zenon_L126_ *) % 0.73/0.92 assert (zenon_L127_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp14)) -> (~(hskp1)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H176 zenon_H12b zenon_H127 zenon_H129. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.73/0.92 apply (zenon_L81_); trivial. % 0.73/0.92 (* end of lemma zenon_L127_ *) % 0.73/0.92 assert (zenon_L128_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H17a zenon_H12b zenon_H129 zenon_H127 zenon_H1a2 zenon_Hbb zenon_H65 zenon_Hb7 zenon_H19d zenon_H193 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H79 zenon_H1 zenon_H86 zenon_H89 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H46 zenon_H4b zenon_H4e zenon_Had zenon_Haf zenon_He6 zenon_Hef zenon_H102 zenon_H104 zenon_H177. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_L126_); trivial. % 0.73/0.92 apply (zenon_L127_); trivial. % 0.73/0.92 (* end of lemma zenon_L128_ *) % 0.73/0.92 assert (zenon_L129_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (~(hskp16)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H184 zenon_H7d zenon_H7e zenon_H7c zenon_H10 zenon_H4f zenon_H43. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.73/0.92 apply (zenon_L111_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.73/0.92 apply (zenon_L116_); trivial. % 0.73/0.92 exact (zenon_H43 zenon_H44). % 0.73/0.92 (* end of lemma zenon_L129_ *) % 0.73/0.92 assert (zenon_L130_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (c0_1 (a753)) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a5 zenon_H4f zenon_H7c zenon_H7e zenon_H7d zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H43. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.73/0.92 apply (zenon_L129_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.73/0.92 apply (zenon_L101_); trivial. % 0.73/0.92 exact (zenon_H43 zenon_H44). % 0.73/0.92 (* end of lemma zenon_L130_ *) % 0.73/0.92 assert (zenon_L131_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp16)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp19)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H85 zenon_H5b zenon_H43 zenon_H17b zenon_H17c zenon_H17d zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_Hb zenon_H59. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ]. % 0.73/0.92 apply (zenon_L130_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 0.73/0.92 exact (zenon_Hb zenon_Hc). % 0.73/0.92 exact (zenon_H59 zenon_H5a). % 0.73/0.92 (* end of lemma zenon_L131_ *) % 0.73/0.92 assert (zenon_L132_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (~(hskp24)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H89 zenon_H5b zenon_H59 zenon_Hb zenon_Hc7 zenon_H43 zenon_H187 zenon_H186 zenon_H185 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5 zenon_H75 zenon_H1 zenon_H79. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.92 apply (zenon_L36_); trivial. % 0.73/0.92 apply (zenon_L131_); trivial. % 0.73/0.92 (* end of lemma zenon_L132_ *) % 0.73/0.92 assert (zenon_L133_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hb7 zenon_H79 zenon_H19d zenon_H193 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H86 zenon_Had zenon_H89 zenon_H104 zenon_H1 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4b zenon_H4e zenon_H65. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_L106_); trivial. % 0.73/0.92 apply (zenon_L119_); trivial. % 0.73/0.92 (* end of lemma zenon_L133_ *) % 0.73/0.92 assert (zenon_L134_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H177 zenon_H19d zenon_H193 zenon_He6 zenon_H86 zenon_Had zenon_H104 zenon_H102 zenon_H65 zenon_H4e zenon_H4b zenon_H146 zenon_H33 zenon_H35 zenon_H89 zenon_H5b zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5 zenon_H1 zenon_H79 zenon_Hb7 zenon_Haf zenon_Hb2 zenon_Hef. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.92 apply (zenon_L132_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.73/0.92 apply (zenon_L112_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.73/0.92 apply (zenon_L101_); trivial. % 0.73/0.92 exact (zenon_H43 zenon_H44). % 0.73/0.92 apply (zenon_L104_); trivial. % 0.73/0.92 apply (zenon_L102_); trivial. % 0.73/0.92 apply (zenon_L133_); trivial. % 0.73/0.92 (* end of lemma zenon_L134_ *) % 0.73/0.92 assert (zenon_L135_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H170 zenon_H5 zenon_Hef zenon_Hb2 zenon_Haf zenon_Hb7 zenon_H79 zenon_H1 zenon_H1a5 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H5b zenon_H89 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H65 zenon_H102 zenon_H104 zenon_Had zenon_H86 zenon_He6 zenon_H193 zenon_H19d zenon_H177. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_L134_); trivial. % 0.73/0.92 apply (zenon_L108_); trivial. % 0.73/0.92 (* end of lemma zenon_L135_ *) % 0.73/0.92 assert (zenon_L136_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1aa zenon_Hb2 zenon_H1a5 zenon_H146 zenon_H17a zenon_H12b zenon_H129 zenon_H1a2 zenon_Hbb zenon_H65 zenon_Hb7 zenon_H19d zenon_H193 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H79 zenon_H1 zenon_H86 zenon_H89 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H46 zenon_H4b zenon_H4e zenon_Had zenon_Haf zenon_He6 zenon_Hef zenon_H102 zenon_H104 zenon_H177 zenon_H170 zenon_H5 zenon_H171 zenon_H6f zenon_H73 zenon_H163 zenon_H1ab. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.73/0.92 apply (zenon_L128_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_L126_); trivial. % 0.73/0.92 apply (zenon_L99_); trivial. % 0.73/0.92 apply (zenon_L135_); trivial. % 0.73/0.92 (* end of lemma zenon_L136_ *) % 0.73/0.92 assert (zenon_L137_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hd3 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.73/0.92 generalize (zenon_Hd3 (a683)). zenon_intro zenon_H1b2. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b3 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 0.73/0.92 exact (zenon_H1af zenon_H1b5). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.73/0.92 exact (zenon_H1b7 zenon_H1b0). % 0.73/0.92 exact (zenon_H1b6 zenon_H1b1). % 0.73/0.92 (* end of lemma zenon_L137_ *) % 0.73/0.92 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp12)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H119 zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_He8. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H10a | zenon_intro zenon_H1b9 ]. % 0.73/0.92 apply (zenon_L71_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_He9 ]. % 0.73/0.92 apply (zenon_L137_); trivial. % 0.73/0.92 exact (zenon_He8 zenon_He9). % 0.73/0.92 (* end of lemma zenon_L138_ *) % 0.73/0.92 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H4a zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H35 zenon_H33 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.73/0.92 apply (zenon_L70_); trivial. % 0.73/0.92 apply (zenon_L138_); trivial. % 0.73/0.92 (* end of lemma zenon_L139_ *) % 0.73/0.92 assert (zenon_L140_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H35 zenon_H33 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b zenon_H25 zenon_Hd zenon_H11 zenon_H13 zenon_H16 zenon_H24. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L12_); trivial. % 0.73/0.92 apply (zenon_L139_); trivial. % 0.73/0.92 (* end of lemma zenon_L140_ *) % 0.73/0.92 assert (zenon_L141_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (c0_1 (a753)) -> (c2_1 (a753)) -> (c3_1 (a753)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H37 zenon_H10 zenon_H4f zenon_H7c zenon_H7d zenon_H7e. % 0.73/0.92 generalize (zenon_H37 (a753)). zenon_intro zenon_H1ba. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1ba); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bb ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H19c | zenon_intro zenon_H81 ]. % 0.73/0.92 generalize (zenon_H4f (a753)). zenon_intro zenon_H195. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_Hf | zenon_intro zenon_H196 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.73/0.92 exact (zenon_H19c zenon_H198). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H82 | zenon_intro zenon_H84 ]. % 0.73/0.92 exact (zenon_H82 zenon_H7c). % 0.73/0.92 exact (zenon_H84 zenon_H7d). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.73/0.92 exact (zenon_H84 zenon_H7d). % 0.73/0.92 exact (zenon_H83 zenon_H7e). % 0.73/0.92 (* end of lemma zenon_L141_ *) % 0.73/0.92 assert (zenon_L142_ : ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> False). % 0.73/0.92 do 0 intro. intros zenon_H86 zenon_H4f zenon_H7e zenon_H7d zenon_H7c zenon_H10. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.73/0.92 apply (zenon_L37_); trivial. % 0.73/0.92 apply (zenon_L141_); trivial. % 0.73/0.92 (* end of lemma zenon_L142_ *) % 0.73/0.92 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp24)) -> (~(hskp19)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H85 zenon_H5b zenon_H86 zenon_Hb zenon_H59. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ]. % 0.73/0.92 apply (zenon_L142_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 0.73/0.92 exact (zenon_Hb zenon_Hc). % 0.73/0.92 exact (zenon_H59 zenon_H5a). % 0.73/0.92 (* end of lemma zenon_L143_ *) % 0.73/0.92 assert (zenon_L144_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (~(hskp24)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H89 zenon_H5b zenon_H59 zenon_Hb zenon_H86 zenon_H106 zenon_He8 zenon_H108. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.92 apply (zenon_L68_); trivial. % 0.73/0.92 apply (zenon_L143_); trivial. % 0.73/0.92 (* end of lemma zenon_L144_ *) % 0.73/0.92 assert (zenon_L145_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H86 zenon_Hb zenon_H59 zenon_H5b zenon_H89. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.73/0.92 apply (zenon_L144_); trivial. % 0.73/0.92 apply (zenon_L138_); trivial. % 0.73/0.92 (* end of lemma zenon_L145_ *) % 0.73/0.92 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c1_1 (a708))) -> (~(c2_1 (a708))) -> (c3_1 (a708)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp7)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hea zenon_Hdc zenon_Hbe zenon_Hbf zenon_Hc0 zenon_Hd2 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hda. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hdd ]. % 0.73/0.92 apply (zenon_L53_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hdb ]. % 0.73/0.92 apply (zenon_L137_); trivial. % 0.73/0.92 exact (zenon_Hda zenon_Hdb). % 0.73/0.92 (* end of lemma zenon_L146_ *) % 0.73/0.92 assert (zenon_L147_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a2 zenon_Hef zenon_Hdc zenon_Hda zenon_Hd2 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H33 zenon_H35 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H4e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.73/0.92 apply (zenon_L140_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L145_); trivial. % 0.73/0.92 apply (zenon_L139_); trivial. % 0.73/0.92 apply (zenon_L146_); trivial. % 0.73/0.92 (* end of lemma zenon_L147_ *) % 0.73/0.92 assert (zenon_L148_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H73 zenon_H43 zenon_H6f zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.73/0.92 apply (zenon_L33_); trivial. % 0.73/0.92 apply (zenon_L69_); trivial. % 0.73/0.92 apply (zenon_L138_); trivial. % 0.73/0.92 (* end of lemma zenon_L148_ *) % 0.73/0.92 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H163 zenon_H160 zenon_H11 zenon_H13 zenon_H16 zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H6f zenon_H73 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L148_); trivial. % 0.73/0.92 apply (zenon_L96_); trivial. % 0.73/0.92 (* end of lemma zenon_L149_ *) % 0.73/0.92 assert (zenon_L150_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hef zenon_Hb2 zenon_Haf zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H86 zenon_H5b zenon_H89 zenon_H35 zenon_H33 zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4b zenon_H4e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L145_); trivial. % 0.73/0.92 apply (zenon_L104_); trivial. % 0.73/0.92 apply (zenon_L102_); trivial. % 0.73/0.92 (* end of lemma zenon_L150_ *) % 0.73/0.92 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H170 zenon_H5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_Haf zenon_Hb2 zenon_Hef. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_L150_); trivial. % 0.73/0.92 apply (zenon_L108_); trivial. % 0.73/0.92 (* end of lemma zenon_L151_ *) % 0.73/0.92 assert (zenon_L152_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a684))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hca zenon_H10 zenon_H185 zenon_H187 zenon_H186. % 0.73/0.92 generalize (zenon_Hca (a684)). zenon_intro zenon_H1bc. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bd ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18f | zenon_intro zenon_H18a ]. % 0.73/0.92 exact (zenon_H185 zenon_H18f). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H192 | zenon_intro zenon_H190 ]. % 0.73/0.92 exact (zenon_H187 zenon_H192). % 0.73/0.92 exact (zenon_H190 zenon_H186). % 0.73/0.92 (* end of lemma zenon_L152_ *) % 0.73/0.92 assert (zenon_L153_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp7)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1be zenon_Hdc zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hda. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hdd ]. % 0.73/0.92 apply (zenon_L152_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hdb ]. % 0.73/0.92 apply (zenon_L137_); trivial. % 0.73/0.92 exact (zenon_Hda zenon_Hdb). % 0.73/0.92 (* end of lemma zenon_L153_ *) % 0.73/0.92 assert (zenon_L154_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1c1 zenon_H1ab zenon_H177 zenon_H163 zenon_H6f zenon_H73 zenon_H1a2 zenon_Hef zenon_Hdc zenon_Hda zenon_Hd2 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H4e zenon_H129 zenon_H12b zenon_H17a zenon_Hb2 zenon_Haf zenon_H146 zenon_H5 zenon_H170 zenon_H1aa. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_L147_); trivial. % 0.73/0.92 apply (zenon_L127_); trivial. % 0.73/0.92 apply (zenon_L149_); trivial. % 0.73/0.92 apply (zenon_L151_); trivial. % 0.73/0.92 apply (zenon_L153_); trivial. % 0.73/0.92 (* end of lemma zenon_L154_ *) % 0.73/0.92 assert (zenon_L155_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (~(c1_1 (a681))) -> (c2_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H167 zenon_H10 zenon_H1c2 zenon_H1c3 zenon_H1c4. % 0.73/0.92 generalize (zenon_H167 (a681)). zenon_intro zenon_H1c5. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c6 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c7 ]. % 0.73/0.92 exact (zenon_H1c2 zenon_H1c8). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 0.73/0.92 exact (zenon_H1c3 zenon_H1ca). % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 (* end of lemma zenon_L155_ *) % 0.73/0.92 assert (zenon_L156_ : (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (c2_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H8a zenon_H10 zenon_H1c2 zenon_H167 zenon_H1c4. % 0.73/0.92 generalize (zenon_H8a (a681)). zenon_intro zenon_H1cb. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cc ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1cd ]. % 0.73/0.92 exact (zenon_H1c2 zenon_H1c8). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c9 ]. % 0.73/0.92 apply (zenon_L155_); trivial. % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 (* end of lemma zenon_L156_ *) % 0.73/0.92 assert (zenon_L157_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H5d zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce. % 0.73/0.92 generalize (zenon_H5d (a681)). zenon_intro zenon_H1cf. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d0 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1d1 ]. % 0.73/0.92 exact (zenon_H1c2 zenon_H1c8). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1d2 ]. % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 exact (zenon_H1d2 zenon_H1ce). % 0.73/0.92 (* end of lemma zenon_L157_ *) % 0.73/0.92 assert (zenon_L158_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H37 zenon_H10 zenon_H167 zenon_H1c2 zenon_H1c4 zenon_H1ce. % 0.73/0.92 generalize (zenon_H37 (a681)). zenon_intro zenon_H1d3. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d4 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d1 ]. % 0.73/0.92 apply (zenon_L155_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1d2 ]. % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 exact (zenon_H1d2 zenon_H1ce). % 0.73/0.92 (* end of lemma zenon_L158_ *) % 0.73/0.92 assert (zenon_L159_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H171 zenon_H10 zenon_H167 zenon_H1c2 zenon_H1c4 zenon_H1ce. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H8a | zenon_intro zenon_H173 ]. % 0.73/0.92 apply (zenon_L156_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5d | zenon_intro zenon_H37 ]. % 0.73/0.92 apply (zenon_L157_); trivial. % 0.73/0.92 apply (zenon_L158_); trivial. % 0.73/0.92 (* end of lemma zenon_L159_ *) % 0.73/0.92 assert (zenon_L160_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1d5 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H171 zenon_H6d zenon_H11. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1d6 ]. % 0.73/0.92 apply (zenon_L159_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H6e | zenon_intro zenon_H12 ]. % 0.73/0.92 exact (zenon_H6d zenon_H6e). % 0.73/0.92 exact (zenon_H11 zenon_H12). % 0.73/0.92 (* end of lemma zenon_L160_ *) % 0.73/0.92 assert (zenon_L161_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H153 zenon_H10 zenon_H1d7 zenon_H1d8 zenon_H1d9. % 0.73/0.92 generalize (zenon_H153 (a680)). zenon_intro zenon_H1da. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_Hf | zenon_intro zenon_H1db ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.73/0.92 exact (zenon_H1d7 zenon_H1dd). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.73/0.92 exact (zenon_H1d8 zenon_H1df). % 0.73/0.92 exact (zenon_H1de zenon_H1d9). % 0.73/0.92 (* end of lemma zenon_L161_ *) % 0.73/0.92 assert (zenon_L162_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp13)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H162 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H160. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H153 | zenon_intro zenon_H166 ]. % 0.73/0.92 apply (zenon_L161_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hfe | zenon_intro zenon_H161 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H160 zenon_H161). % 0.73/0.92 (* end of lemma zenon_L162_ *) % 0.73/0.92 assert (zenon_L163_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H176 zenon_H177 zenon_H163 zenon_H160 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H73 zenon_H6f zenon_H171 zenon_H86 zenon_Haf zenon_H5 zenon_H170 zenon_H4b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L98_); trivial. % 0.73/0.92 apply (zenon_L162_); trivial. % 0.73/0.92 (* end of lemma zenon_L163_ *) % 0.73/0.92 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H170 zenon_Hef zenon_Hb2 zenon_Haf zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H7 zenon_H5 zenon_H1 zenon_H71 zenon_H6d zenon_H35 zenon_H146 zenon_H145 zenon_Hb6 zenon_H14c zenon_H150 zenon_H102 zenon_H104 zenon_Hd2 zenon_H177. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.73/0.92 apply (zenon_L109_); trivial. % 0.73/0.92 (* end of lemma zenon_L164_ *) % 0.73/0.92 assert (zenon_L165_ : (forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c3_1 (a680))) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (c2_1 (a680)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1e0 zenon_H10 zenon_H1d8 zenon_H11d zenon_H1d9. % 0.73/0.92 generalize (zenon_H1e0 (a680)). zenon_intro zenon_H1e1. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1e1); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e2 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1df | zenon_intro zenon_H1e3 ]. % 0.73/0.92 exact (zenon_H1d8 zenon_H1df). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1de ]. % 0.73/0.92 generalize (zenon_H11d (a680)). zenon_intro zenon_H1e5. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e6 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1dc ]. % 0.73/0.92 exact (zenon_H1e4 zenon_H1e7). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.73/0.92 exact (zenon_H1d8 zenon_H1df). % 0.73/0.92 exact (zenon_H1de zenon_H1d9). % 0.73/0.92 exact (zenon_H1de zenon_H1d9). % 0.73/0.92 (* end of lemma zenon_L165_ *) % 0.73/0.92 assert (zenon_L166_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c1_1 (a680))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a680))) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (c2_1 (a680)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1e8 zenon_H1d7 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H1d8 zenon_H11d zenon_H1d9. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.73/0.92 apply (zenon_L161_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.73/0.92 apply (zenon_L137_); trivial. % 0.73/0.92 apply (zenon_L165_); trivial. % 0.73/0.92 (* end of lemma zenon_L166_ *) % 0.73/0.92 assert (zenon_L167_ : (forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1e0 zenon_H10 zenon_H152 zenon_H154 zenon_H151. % 0.73/0.92 generalize (zenon_H1e0 (a696)). zenon_intro zenon_H1ea. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_Hf | zenon_intro zenon_H1eb ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H15f | zenon_intro zenon_H1ec ]. % 0.73/0.92 exact (zenon_H152 zenon_H15f). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 0.73/0.92 exact (zenon_H158 zenon_H154). % 0.73/0.92 exact (zenon_H159 zenon_H151). % 0.73/0.92 (* end of lemma zenon_L167_ *) % 0.73/0.92 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1ac zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b1 zenon_H1b0 zenon_H1af. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.73/0.92 apply (zenon_L161_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.73/0.92 apply (zenon_L137_); trivial. % 0.73/0.92 apply (zenon_L167_); trivial. % 0.73/0.92 (* end of lemma zenon_L168_ *) % 0.73/0.92 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1ed zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H129 zenon_H12b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H11d | zenon_intro zenon_H12c ]. % 0.73/0.92 apply (zenon_L166_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H128 | zenon_intro zenon_H12a ]. % 0.73/0.92 exact (zenon_H127 zenon_H128). % 0.73/0.92 exact (zenon_H129 zenon_H12a). % 0.73/0.92 apply (zenon_L168_); trivial. % 0.73/0.92 (* end of lemma zenon_L169_ *) % 0.73/0.92 assert (zenon_L170_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H66 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H1 zenon_H43. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.73/0.92 apply (zenon_L157_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 exact (zenon_H43 zenon_H44). % 0.73/0.92 (* end of lemma zenon_L170_ *) % 0.73/0.92 assert (zenon_L171_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hfe zenon_H10 zenon_H8a zenon_H1c2 zenon_H1c4 zenon_H1ce. % 0.73/0.92 generalize (zenon_Hfe (a681)). zenon_intro zenon_H1f0. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f1 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1d1 ]. % 0.73/0.92 generalize (zenon_H8a (a681)). zenon_intro zenon_H1cb. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cc ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1cd ]. % 0.73/0.92 exact (zenon_H1c2 zenon_H1c8). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c9 ]. % 0.73/0.92 exact (zenon_H1c3 zenon_H1ca). % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1d2 ]. % 0.73/0.92 exact (zenon_H1c9 zenon_H1c4). % 0.73/0.92 exact (zenon_H1d2 zenon_H1ce). % 0.73/0.92 (* end of lemma zenon_L171_ *) % 0.73/0.92 assert (zenon_L172_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H102 zenon_Hf9 zenon_Hf2 zenon_Hd4 zenon_Hf1 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H8a zenon_H10 zenon_H41. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H4f | zenon_intro zenon_H103 ]. % 0.73/0.92 apply (zenon_L63_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_H42 ]. % 0.73/0.92 apply (zenon_L171_); trivial. % 0.73/0.92 exact (zenon_H41 zenon_H42). % 0.73/0.92 (* end of lemma zenon_L172_ *) % 0.73/0.92 assert (zenon_L173_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H104 zenon_H102 zenon_H41 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_Hd2 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H10 zenon_H1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.73/0.92 apply (zenon_L172_); trivial. % 0.73/0.92 apply (zenon_L72_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 (* end of lemma zenon_L173_ *) % 0.73/0.92 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp28)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H85 zenon_H1f2 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H171 zenon_H75. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f3 ]. % 0.73/0.92 apply (zenon_L159_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H7b | zenon_intro zenon_H76 ]. % 0.73/0.92 apply (zenon_L37_); trivial. % 0.73/0.92 exact (zenon_H75 zenon_H76). % 0.73/0.92 (* end of lemma zenon_L174_ *) % 0.73/0.92 assert (zenon_L175_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(hskp28)) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H89 zenon_H1f2 zenon_H75 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H106 zenon_He8 zenon_H108. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.92 apply (zenon_L68_); trivial. % 0.73/0.92 apply (zenon_L174_); trivial. % 0.73/0.92 (* end of lemma zenon_L175_ *) % 0.73/0.92 assert (zenon_L176_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a678))) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1f4 zenon_H10 zenon_H1f5 zenon_Ha5 zenon_Ha6. % 0.73/0.92 generalize (zenon_H1f4 (a678)). zenon_intro zenon_H1f6. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f7 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Ha9 ]. % 0.73/0.92 exact (zenon_H1f5 zenon_H1f8). % 0.73/0.92 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.73/0.92 exact (zenon_Hac zenon_Ha5). % 0.73/0.92 exact (zenon_Hab zenon_Ha6). % 0.73/0.92 (* end of lemma zenon_L176_ *) % 0.73/0.92 assert (zenon_L177_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c1_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a678)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H37 zenon_H10 zenon_Ha5 zenon_H1f4 zenon_Ha6. % 0.73/0.92 generalize (zenon_H37 (a678)). zenon_intro zenon_H1f9. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1fa ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hac | zenon_intro zenon_H1fb ]. % 0.73/0.92 exact (zenon_Hac zenon_Ha5). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f5 | zenon_intro zenon_Hab ]. % 0.73/0.92 apply (zenon_L176_); trivial. % 0.73/0.92 exact (zenon_Hab zenon_Ha6). % 0.73/0.92 (* end of lemma zenon_L177_ *) % 0.73/0.92 assert (zenon_L178_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (ndr1_0) -> (c1_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a678)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1fc zenon_H2a zenon_H29 zenon_H28 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10 zenon_Ha5 zenon_H1f4 zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H27 | zenon_intro zenon_H1fd ]. % 0.73/0.92 apply (zenon_L13_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H153 | zenon_intro zenon_H37 ]. % 0.73/0.92 apply (zenon_L161_); trivial. % 0.73/0.92 apply (zenon_L177_); trivial. % 0.73/0.92 (* end of lemma zenon_L178_ *) % 0.73/0.92 assert (zenon_L179_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a684))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a684)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H184 zenon_H10 zenon_H185 zenon_Hd4 zenon_H186. % 0.73/0.92 generalize (zenon_H184 (a684)). zenon_intro zenon_H18c. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H18c); [ zenon_intro zenon_Hf | zenon_intro zenon_H18d ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 0.73/0.92 exact (zenon_H185 zenon_H18f). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 0.73/0.92 generalize (zenon_Hd4 (a684)). zenon_intro zenon_H1fe. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H1fe); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ff ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H18f | zenon_intro zenon_H200 ]. % 0.73/0.92 exact (zenon_H185 zenon_H18f). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H18b | zenon_intro zenon_H190 ]. % 0.73/0.92 exact (zenon_H191 zenon_H18b). % 0.73/0.92 exact (zenon_H190 zenon_H186). % 0.73/0.92 exact (zenon_H190 zenon_H186). % 0.73/0.92 (* end of lemma zenon_L179_ *) % 0.73/0.92 assert (zenon_L180_ : (~(hskp17)) -> (hskp17) -> False). % 0.73/0.92 do 0 intro. intros zenon_H201 zenon_H202. % 0.73/0.92 exact (zenon_H201 zenon_H202). % 0.73/0.92 (* end of lemma zenon_L180_ *) % 0.73/0.92 assert (zenon_L181_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (c2_1 (a680)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (~(c3_1 (a680))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H203 zenon_H186 zenon_Hd4 zenon_H185 zenon_H1d9 zenon_H11d zenon_H1d8 zenon_H10 zenon_H201. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H184 | zenon_intro zenon_H204 ]. % 0.73/0.92 apply (zenon_L179_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H202 ]. % 0.73/0.92 apply (zenon_L165_); trivial. % 0.73/0.92 exact (zenon_H201 zenon_H202). % 0.73/0.92 (* end of lemma zenon_L181_ *) % 0.73/0.92 assert (zenon_L182_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H19d zenon_H186 zenon_Hd4 zenon_H185 zenon_H7d zenon_H7e zenon_H7c zenon_Ha3 zenon_H10 zenon_H193. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.73/0.92 apply (zenon_L179_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.73/0.92 apply (zenon_L116_); trivial. % 0.73/0.92 exact (zenon_H193 zenon_H194). % 0.73/0.92 (* end of lemma zenon_L182_ *) % 0.73/0.92 assert (zenon_L183_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp17)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H205 zenon_H201 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H19d zenon_H186 zenon_Hd4 zenon_H185 zenon_H7d zenon_H7e zenon_H7c zenon_H10 zenon_H193. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.73/0.92 apply (zenon_L181_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.73/0.92 apply (zenon_L179_); trivial. % 0.73/0.92 apply (zenon_L182_); trivial. % 0.73/0.92 (* end of lemma zenon_L183_ *) % 0.73/0.92 assert (zenon_L184_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp17)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (ndr1_0) -> (c0_1 (a678)) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H205 zenon_H201 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H186 zenon_Hd4 zenon_H185 zenon_H10 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.73/0.92 apply (zenon_L181_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.73/0.92 apply (zenon_L179_); trivial. % 0.73/0.92 apply (zenon_L43_); trivial. % 0.73/0.92 (* end of lemma zenon_L184_ *) % 0.73/0.92 assert (zenon_L185_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp17)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp11)) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hb1 zenon_H104 zenon_H185 zenon_H186 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H201 zenon_H205 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H1. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.92 apply (zenon_L184_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 (* end of lemma zenon_L185_ *) % 0.73/0.92 assert (zenon_L186_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a703))) -> (~(c2_1 (a703))) -> (c1_1 (a703)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H207 zenon_H10 zenon_H208 zenon_H209 zenon_H20a. % 0.73/0.92 generalize (zenon_H207 (a703)). zenon_intro zenon_H20b. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_Hf | zenon_intro zenon_H20c ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 0.73/0.92 exact (zenon_H208 zenon_H20e). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.73/0.92 exact (zenon_H209 zenon_H210). % 0.73/0.92 exact (zenon_H20f zenon_H20a). % 0.73/0.92 (* end of lemma zenon_L186_ *) % 0.73/0.92 assert (zenon_L187_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H211 zenon_H20a zenon_H209 zenon_H208 zenon_H10 zenon_Hd4 zenon_Hf1 zenon_Hf2 zenon_Hf9. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H207 | zenon_intro zenon_H212 ]. % 0.73/0.92 apply (zenon_L186_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hfe | zenon_intro zenon_H7b ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 apply (zenon_L122_); trivial. % 0.73/0.92 (* end of lemma zenon_L187_ *) % 0.73/0.92 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp11)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H213 zenon_H104 zenon_H211 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H1. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.92 apply (zenon_L187_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 (* end of lemma zenon_L188_ *) % 0.73/0.92 assert (zenon_L189_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H162 zenon_H216 zenon_H211 zenon_H89 zenon_H104 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H186 zenon_H185 zenon_H19d zenon_H193 zenon_H205 zenon_H1 zenon_H79 zenon_Hb7. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.92 apply (zenon_L36_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.73/0.92 apply (zenon_L183_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.73/0.92 apply (zenon_L64_); trivial. % 0.73/0.92 exact (zenon_H1 zenon_H2). % 0.73/0.92 apply (zenon_L185_); trivial. % 0.73/0.92 apply (zenon_L188_); trivial. % 0.73/0.92 (* end of lemma zenon_L189_ *) % 0.73/0.92 assert (zenon_L190_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_Hef zenon_H104 zenon_H102 zenon_Hd2 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H79 zenon_H205 zenon_H193 zenon_H19d zenon_H203 zenon_H211 zenon_H216 zenon_H1c1. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L170_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.92 apply (zenon_L173_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.73/0.92 apply (zenon_L25_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.92 apply (zenon_L175_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.73/0.92 apply (zenon_L159_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.73/0.92 apply (zenon_L13_); trivial. % 0.73/0.92 apply (zenon_L178_); trivial. % 0.73/0.92 apply (zenon_L74_); trivial. % 0.73/0.92 apply (zenon_L76_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L170_); trivial. % 0.73/0.92 apply (zenon_L189_); trivial. % 0.73/0.92 apply (zenon_L169_); trivial. % 0.73/0.92 (* end of lemma zenon_L190_ *) % 0.73/0.92 assert (zenon_L191_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H21d zenon_H219 zenon_H1fc zenon_H108 zenon_H1f2 zenon_H117 zenon_H11c zenon_H66 zenon_H205 zenon_H193 zenon_H19d zenon_H203 zenon_H211 zenon_H216 zenon_H1c1 zenon_H1aa zenon_H102 zenon_H104 zenon_Hd2 zenon_H177 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H150 zenon_H14c zenon_Hb6 zenon_H145 zenon_H146 zenon_H35 zenon_H6d zenon_H71 zenon_H5 zenon_H7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H5b zenon_H12f zenon_H4e zenon_H65 zenon_H89 zenon_H86 zenon_H79 zenon_Had zenon_Hb2 zenon_Hb7 zenon_Hef zenon_H170 zenon_H171 zenon_H17a zenon_H12b zenon_H129 zenon_H1e8 zenon_H1ab zenon_H218. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L93_); trivial. % 0.73/0.92 apply (zenon_L162_); trivial. % 0.73/0.92 apply (zenon_L163_); trivial. % 0.73/0.92 apply (zenon_L164_); trivial. % 0.73/0.92 apply (zenon_L169_); trivial. % 0.73/0.92 apply (zenon_L190_); trivial. % 0.73/0.92 (* end of lemma zenon_L191_ *) % 0.73/0.92 assert (zenon_L192_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H184 zenon_H10 zenon_H21e zenon_H21f zenon_H220. % 0.73/0.92 generalize (zenon_H184 (a679)). zenon_intro zenon_H221. % 0.73/0.92 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_Hf | zenon_intro zenon_H222 ]. % 0.73/0.92 exact (zenon_Hf zenon_H10). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ]. % 0.73/0.92 exact (zenon_H21e zenon_H224). % 0.73/0.92 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.73/0.92 exact (zenon_H226 zenon_H21f). % 0.73/0.92 exact (zenon_H225 zenon_H220). % 0.73/0.92 (* end of lemma zenon_L192_ *) % 0.73/0.92 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp3)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H67 zenon_H19d zenon_H220 zenon_H21f zenon_H21e zenon_H193. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.73/0.92 apply (zenon_L192_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.73/0.92 apply (zenon_L23_); trivial. % 0.73/0.92 exact (zenon_H193 zenon_H194). % 0.73/0.92 (* end of lemma zenon_L193_ *) % 0.73/0.92 assert (zenon_L194_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (~(hskp18)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_Hd zenon_H25 zenon_H35 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.73/0.92 apply (zenon_L22_); trivial. % 0.73/0.92 apply (zenon_L193_); trivial. % 0.73/0.92 (* end of lemma zenon_L194_ *) % 0.73/0.92 assert (zenon_L195_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H19d zenon_H220 zenon_H21f zenon_H21e zenon_H7d zenon_H7e zenon_H7c zenon_Ha3 zenon_H10 zenon_H193. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.73/0.92 apply (zenon_L192_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.73/0.92 apply (zenon_L116_); trivial. % 0.73/0.92 exact (zenon_H193 zenon_H194). % 0.73/0.92 (* end of lemma zenon_L195_ *) % 0.73/0.92 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H33 zenon_Had zenon_H89. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.73/0.92 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.73/0.92 apply (zenon_L36_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_Hae ]. % 0.73/0.92 apply (zenon_L40_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H34 ]. % 0.73/0.92 apply (zenon_L195_); trivial. % 0.73/0.92 exact (zenon_H33 zenon_H34). % 0.73/0.92 apply (zenon_L118_); trivial. % 0.73/0.92 (* end of lemma zenon_L196_ *) % 0.73/0.92 assert (zenon_L197_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H19f zenon_Hef zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H33 zenon_Had zenon_H89 zenon_Hbb zenon_H11 zenon_H43 zenon_Hc7 zenon_Hb7. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_L51_); trivial. % 0.73/0.92 apply (zenon_L196_); trivial. % 0.73/0.92 (* end of lemma zenon_L197_ *) % 0.73/0.92 assert (zenon_L198_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H1a2 zenon_Hef zenon_H79 zenon_H1 zenon_Had zenon_H89 zenon_Hbb zenon_Hc7 zenon_Hb7 zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H21e zenon_H21f zenon_H220 zenon_H193 zenon_H19d zenon_H65. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.73/0.92 apply (zenon_L194_); trivial. % 0.73/0.92 apply (zenon_L197_); trivial. % 0.73/0.92 (* end of lemma zenon_L198_ *) % 0.73/0.92 assert (zenon_L199_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H177 zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_H86 zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H46 zenon_H4b zenon_H4e zenon_Hb7 zenon_Hc7 zenon_Hbb zenon_H89 zenon_Had zenon_H1 zenon_H79 zenon_Hef zenon_H1a2. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.73/0.92 apply (zenon_L198_); trivial. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.73/0.92 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.73/0.92 apply (zenon_L124_); trivial. % 0.73/0.92 apply (zenon_L76_); trivial. % 0.73/0.92 (* end of lemma zenon_L199_ *) % 0.73/0.92 assert (zenon_L200_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.73/0.92 do 0 intro. intros zenon_H203 zenon_H220 zenon_H21f zenon_H21e zenon_H151 zenon_H154 zenon_H152 zenon_H10 zenon_H201. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H184 | zenon_intro zenon_H204 ]. % 0.73/0.92 apply (zenon_L192_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H202 ]. % 0.73/0.92 apply (zenon_L167_); trivial. % 0.73/0.92 exact (zenon_H201 zenon_H202). % 0.73/0.92 (* end of lemma zenon_L200_ *) % 0.73/0.92 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> False). % 0.73/0.92 do 0 intro. intros zenon_H45 zenon_H227 zenon_H20a zenon_H209 zenon_H208 zenon_H220 zenon_H21f zenon_H21e. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.73/0.92 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H228 ]. % 0.73/0.92 apply (zenon_L186_); trivial. % 0.73/0.92 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H184 | zenon_intro zenon_H37 ]. % 0.73/0.92 apply (zenon_L192_); trivial. % 0.73/0.92 apply (zenon_L17_); trivial. % 0.73/0.92 (* end of lemma zenon_L201_ *) % 0.76/0.93 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4a zenon_H4b zenon_H227 zenon_H220 zenon_H21f zenon_H21e zenon_H20a zenon_H209 zenon_H208 zenon_H33 zenon_H35. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.76/0.93 apply (zenon_L16_); trivial. % 0.76/0.93 apply (zenon_L201_); trivial. % 0.76/0.93 (* end of lemma zenon_L202_ *) % 0.76/0.93 assert (zenon_L203_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4e zenon_H4b zenon_H227 zenon_H220 zenon_H21f zenon_H21e zenon_H20a zenon_H209 zenon_H208 zenon_H33 zenon_H35 zenon_H25 zenon_Hd zenon_H11 zenon_H13 zenon_H16 zenon_H24. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L12_); trivial. % 0.76/0.93 apply (zenon_L202_); trivial. % 0.76/0.93 (* end of lemma zenon_L203_ *) % 0.76/0.93 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H213 zenon_H1a2 zenon_Hef zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_Had zenon_H89 zenon_Hbb zenon_H43 zenon_Hc7 zenon_Hb7 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H21e zenon_H21f zenon_H220 zenon_H227 zenon_H4b zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.76/0.93 apply (zenon_L203_); trivial. % 0.76/0.93 apply (zenon_L197_); trivial. % 0.76/0.93 (* end of lemma zenon_L204_ *) % 0.76/0.93 assert (zenon_L205_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H162 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H21e zenon_H21f zenon_H220 zenon_H152 zenon_H154 zenon_H151 zenon_H203. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.76/0.93 apply (zenon_L200_); trivial. % 0.76/0.93 apply (zenon_L188_); trivial. % 0.76/0.93 (* end of lemma zenon_L205_ *) % 0.76/0.93 assert (zenon_L206_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H177 zenon_H104 zenon_H211 zenon_H203 zenon_H151 zenon_H154 zenon_H152 zenon_H220 zenon_H21f zenon_H21e zenon_H10 zenon_H4e zenon_H4b zenon_H227 zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_Hb7 zenon_Hc7 zenon_Hbb zenon_H89 zenon_Had zenon_H193 zenon_H19d zenon_H1 zenon_H79 zenon_Hef zenon_H1a2 zenon_H216. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.76/0.93 apply (zenon_L200_); trivial. % 0.76/0.93 apply (zenon_L204_); trivial. % 0.76/0.93 apply (zenon_L205_); trivial. % 0.76/0.93 (* end of lemma zenon_L206_ *) % 0.76/0.93 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H163 zenon_H160 zenon_H73 zenon_H6f zenon_H171 zenon_H86 zenon_Haf zenon_H5 zenon_H170 zenon_H216 zenon_H1a2 zenon_Hef zenon_H79 zenon_H1 zenon_H19d zenon_H193 zenon_Had zenon_H89 zenon_Hbb zenon_Hc7 zenon_Hb7 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H227 zenon_H4b zenon_H4e zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H211 zenon_H104 zenon_H177. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_L206_); trivial. % 0.76/0.93 apply (zenon_L99_); trivial. % 0.76/0.93 (* end of lemma zenon_L207_ *) % 0.76/0.93 assert (zenon_L208_ : ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H229 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H127 zenon_Hb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H9d | zenon_intro zenon_H22a ]. % 0.76/0.93 apply (zenon_L101_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H128 | zenon_intro zenon_Hc ]. % 0.76/0.93 exact (zenon_H127 zenon_H128). % 0.76/0.93 exact (zenon_Hb zenon_Hc). % 0.76/0.93 (* end of lemma zenon_L208_ *) % 0.76/0.93 assert (zenon_L209_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4e zenon_H4b zenon_H146 zenon_H33 zenon_H35 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L208_); trivial. % 0.76/0.93 apply (zenon_L104_); trivial. % 0.76/0.93 (* end of lemma zenon_L209_ *) % 0.76/0.93 assert (zenon_L210_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H17a zenon_H170 zenon_H5 zenon_Haf zenon_Hb2 zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H35 zenon_H146 zenon_H4b zenon_H4e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_L209_); trivial. % 0.76/0.93 apply (zenon_L108_); trivial. % 0.76/0.93 (* end of lemma zenon_L210_ *) % 0.76/0.93 assert (zenon_L211_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H43. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.76/0.93 apply (zenon_L192_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.76/0.93 apply (zenon_L101_); trivial. % 0.76/0.93 exact (zenon_H43 zenon_H44). % 0.76/0.93 (* end of lemma zenon_L211_ *) % 0.76/0.93 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L211_); trivial. % 0.76/0.93 apply (zenon_L205_); trivial. % 0.76/0.93 (* end of lemma zenon_L212_ *) % 0.76/0.93 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_L210_); trivial. % 0.76/0.93 apply (zenon_L212_); trivial. % 0.76/0.93 (* end of lemma zenon_L213_ *) % 0.76/0.93 assert (zenon_L214_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_H1ab zenon_H177 zenon_H163 zenon_H6f zenon_H73 zenon_H1a2 zenon_Hef zenon_Hdc zenon_Hda zenon_Hd2 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H1b8 zenon_H11c zenon_H4e zenon_H129 zenon_H12b zenon_H17a zenon_Hb2 zenon_Haf zenon_H146 zenon_H5 zenon_H170 zenon_H1aa. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.76/0.93 apply (zenon_L154_); trivial. % 0.76/0.93 (* end of lemma zenon_L214_ *) % 0.76/0.93 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp11)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H213 zenon_H104 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H22b zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H207 | zenon_intro zenon_H22c ]. % 0.76/0.93 apply (zenon_L186_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H5d | zenon_intro zenon_H4f ]. % 0.76/0.93 apply (zenon_L157_); trivial. % 0.76/0.93 apply (zenon_L63_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 exact (zenon_H1 zenon_H2). % 0.76/0.93 (* end of lemma zenon_L215_ *) % 0.76/0.93 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L170_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.76/0.93 apply (zenon_L200_); trivial. % 0.76/0.93 apply (zenon_L215_); trivial. % 0.76/0.93 (* end of lemma zenon_L216_ *) % 0.76/0.93 assert (zenon_L217_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ab zenon_H216 zenon_H22b zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H177 zenon_Hef zenon_H104 zenon_H102 zenon_Hd2 zenon_H5b zenon_H35 zenon_H86 zenon_H4b zenon_H4e zenon_H65 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66 zenon_H129 zenon_H12b zenon_H17a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L170_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.76/0.93 apply (zenon_L173_); trivial. % 0.76/0.93 apply (zenon_L123_); trivial. % 0.76/0.93 apply (zenon_L76_); trivial. % 0.76/0.93 apply (zenon_L127_); trivial. % 0.76/0.93 apply (zenon_L216_); trivial. % 0.76/0.93 (* end of lemma zenon_L217_ *) % 0.76/0.93 assert (zenon_L218_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp5))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19f zenon_H22d zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H171 zenon_H13. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H167 | zenon_intro zenon_H22e ]. % 0.76/0.93 apply (zenon_L159_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H14 ]. % 0.76/0.93 apply (zenon_L49_); trivial. % 0.76/0.93 exact (zenon_H13 zenon_H14). % 0.76/0.93 (* end of lemma zenon_L218_ *) % 0.76/0.93 assert (zenon_L219_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp5))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ab zenon_H177 zenon_H163 zenon_H160 zenon_H6f zenon_H73 zenon_H1a2 zenon_H22d zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H35 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H4e zenon_H129 zenon_H12b zenon_H17a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.76/0.93 apply (zenon_L140_); trivial. % 0.76/0.93 apply (zenon_L218_); trivial. % 0.76/0.93 apply (zenon_L127_); trivial. % 0.76/0.93 apply (zenon_L149_); trivial. % 0.76/0.93 (* end of lemma zenon_L219_ *) % 0.76/0.93 assert (zenon_L220_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H17a zenon_H12b zenon_H129 zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H35 zenon_H146 zenon_H4b zenon_H4e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_L209_); trivial. % 0.76/0.93 apply (zenon_L127_); trivial. % 0.76/0.93 (* end of lemma zenon_L220_ *) % 0.76/0.93 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H213 zenon_H22f zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H211 zenon_H220 zenon_H21f zenon_H21e zenon_H1af zenon_H1b0 zenon_H1b1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.76/0.93 apply (zenon_L187_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.76/0.93 apply (zenon_L192_); trivial. % 0.76/0.93 apply (zenon_L137_); trivial. % 0.76/0.93 (* end of lemma zenon_L221_ *) % 0.76/0.93 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H162 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H21e zenon_H21f zenon_H220 zenon_H152 zenon_H154 zenon_H151 zenon_H203. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.76/0.93 apply (zenon_L200_); trivial. % 0.76/0.93 apply (zenon_L221_); trivial. % 0.76/0.93 (* end of lemma zenon_L222_ *) % 0.76/0.93 assert (zenon_L223_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L211_); trivial. % 0.76/0.93 apply (zenon_L222_); trivial. % 0.76/0.93 (* end of lemma zenon_L223_ *) % 0.76/0.93 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H129 zenon_H12b zenon_H17a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_L220_); trivial. % 0.76/0.93 apply (zenon_L223_); trivial. % 0.76/0.93 (* end of lemma zenon_L224_ *) % 0.76/0.93 assert (zenon_L225_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H73 zenon_H43 zenon_H6f zenon_H46 zenon_H4b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.76/0.93 apply (zenon_L82_); trivial. % 0.76/0.93 apply (zenon_L193_); trivial. % 0.76/0.93 (* end of lemma zenon_L225_ *) % 0.76/0.93 assert (zenon_L226_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H177 zenon_H163 zenon_H160 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H21e zenon_H21f zenon_H220 zenon_H193 zenon_H19d zenon_H65. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L225_); trivial. % 0.76/0.93 apply (zenon_L162_); trivial. % 0.76/0.93 (* end of lemma zenon_L226_ *) % 0.76/0.93 assert (zenon_L227_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H177. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.76/0.93 apply (zenon_L226_); trivial. % 0.76/0.93 apply (zenon_L213_); trivial. % 0.76/0.93 (* end of lemma zenon_L227_ *) % 0.76/0.93 assert (zenon_L228_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H218 zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H21e zenon_H21f zenon_H220 zenon_H193 zenon_H19d zenon_H65 zenon_H17a zenon_H170 zenon_H5 zenon_Haf zenon_Hb2 zenon_H229 zenon_H35 zenon_H146 zenon_H4e zenon_H1a5 zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H1ab zenon_H1aa. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.76/0.93 apply (zenon_L227_); trivial. % 0.76/0.93 apply (zenon_L169_); trivial. % 0.76/0.93 (* end of lemma zenon_L228_ *) % 0.76/0.93 assert (zenon_L229_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c2_1 (a680)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (~(c3_1 (a680))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H203 zenon_H220 zenon_H21f zenon_H21e zenon_H1d9 zenon_H11d zenon_H1d8 zenon_H10 zenon_H201. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H184 | zenon_intro zenon_H204 ]. % 0.76/0.93 apply (zenon_L192_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H202 ]. % 0.76/0.93 apply (zenon_L165_); trivial. % 0.76/0.93 exact (zenon_H201 zenon_H202). % 0.76/0.93 (* end of lemma zenon_L229_ *) % 0.76/0.93 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp17)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H201 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H220 zenon_H21f zenon_H21e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.76/0.93 apply (zenon_L229_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.76/0.93 apply (zenon_L192_); trivial. % 0.76/0.93 apply (zenon_L43_); trivial. % 0.76/0.93 (* end of lemma zenon_L230_ *) % 0.76/0.93 assert (zenon_L231_ : (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H11d zenon_H10 zenon_H4f zenon_H1d7 zenon_H1d9 zenon_H1d8. % 0.76/0.93 generalize (zenon_H11d (a680)). zenon_intro zenon_H1e5. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e6 ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1dc ]. % 0.76/0.93 generalize (zenon_H4f (a680)). zenon_intro zenon_H231. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_Hf | zenon_intro zenon_H232 ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e3 ]. % 0.76/0.93 exact (zenon_H1d7 zenon_H1dd). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1de ]. % 0.76/0.93 exact (zenon_H1e4 zenon_H1e7). % 0.76/0.93 exact (zenon_H1de zenon_H1d9). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.76/0.93 exact (zenon_H1d8 zenon_H1df). % 0.76/0.93 exact (zenon_H1de zenon_H1d9). % 0.76/0.93 (* end of lemma zenon_L231_ *) % 0.76/0.93 assert (zenon_L232_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp1)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H12b zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H4f zenon_H10 zenon_H127 zenon_H129. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H11d | zenon_intro zenon_H12c ]. % 0.76/0.93 apply (zenon_L231_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H128 | zenon_intro zenon_H12a ]. % 0.76/0.93 exact (zenon_H127 zenon_H128). % 0.76/0.93 exact (zenon_H129 zenon_H12a). % 0.76/0.93 (* end of lemma zenon_L232_ *) % 0.76/0.93 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (~(hskp14)) -> (~(hskp1)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H213 zenon_H22b zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H12b zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H127 zenon_H129. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H207 | zenon_intro zenon_H22c ]. % 0.76/0.93 apply (zenon_L186_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H5d | zenon_intro zenon_H4f ]. % 0.76/0.93 apply (zenon_L157_); trivial. % 0.76/0.93 apply (zenon_L232_); trivial. % 0.76/0.93 (* end of lemma zenon_L233_ *) % 0.76/0.93 assert (zenon_L234_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H75 zenon_H1 zenon_H79. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.76/0.93 apply (zenon_L36_); trivial. % 0.76/0.93 apply (zenon_L174_); trivial. % 0.76/0.93 (* end of lemma zenon_L234_ *) % 0.76/0.93 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H120 zenon_H11f zenon_H11e zenon_H220 zenon_H21f zenon_H21e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.76/0.93 apply (zenon_L78_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.76/0.93 apply (zenon_L192_); trivial. % 0.76/0.93 apply (zenon_L43_); trivial. % 0.76/0.93 (* end of lemma zenon_L235_ *) % 0.76/0.93 assert (zenon_L236_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H176 zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H79 zenon_H1 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H1f2 zenon_H89. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.76/0.93 apply (zenon_L234_); trivial. % 0.76/0.93 apply (zenon_L235_); trivial. % 0.76/0.93 (* end of lemma zenon_L236_ *) % 0.76/0.93 assert (zenon_L237_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a680))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1e8 zenon_H17a zenon_H171 zenon_H1f2 zenon_H66 zenon_Hef zenon_H19d zenon_H193 zenon_Had zenon_H104 zenon_H102 zenon_H5b zenon_H4b zenon_H89 zenon_H86 zenon_H79 zenon_H35 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H220 zenon_H21f zenon_H21e zenon_H205 zenon_Hb7 zenon_H4e zenon_H65 zenon_H12b zenon_H129 zenon_H1d7 zenon_H22b zenon_H216 zenon_H177 zenon_H1ab. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L170_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.76/0.93 apply (zenon_L66_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L25_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.76/0.93 apply (zenon_L110_); trivial. % 0.76/0.93 apply (zenon_L230_); trivial. % 0.76/0.93 apply (zenon_L196_); trivial. % 0.76/0.93 apply (zenon_L233_); trivial. % 0.76/0.93 apply (zenon_L236_); trivial. % 0.76/0.93 apply (zenon_L216_); trivial. % 0.76/0.93 apply (zenon_L169_); trivial. % 0.76/0.93 (* end of lemma zenon_L237_ *) % 0.76/0.93 assert (zenon_L238_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp5))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H233 zenon_H1f2 zenon_H205 zenon_H1e8 zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H108 zenon_H1b8 zenon_H11c zenon_H1ab zenon_H163 zenon_H73 zenon_H6f zenon_H171 zenon_H5 zenon_H170 zenon_H216 zenon_H227 zenon_H203 zenon_H211 zenon_H177 zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_H86 zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H24 zenon_H16 zenon_H13 zenon_H25 zenon_H35 zenon_H46 zenon_H4b zenon_H4e zenon_Hb7 zenon_Hc7 zenon_Hbb zenon_H89 zenon_Had zenon_H79 zenon_Hef zenon_H1a2 zenon_H129 zenon_H12b zenon_H17a zenon_Hb2 zenon_H229 zenon_H146 zenon_H1a5 zenon_H1aa zenon_H22b zenon_H66 zenon_H22f zenon_H22d zenon_H21d. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_L199_); trivial. % 0.76/0.93 apply (zenon_L127_); trivial. % 0.76/0.93 apply (zenon_L207_); trivial. % 0.76/0.93 apply (zenon_L213_); trivial. % 0.76/0.93 apply (zenon_L214_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.76/0.93 apply (zenon_L217_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.76/0.93 apply (zenon_L219_); trivial. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_L153_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.76/0.93 apply (zenon_L228_); trivial. % 0.76/0.93 apply (zenon_L237_); trivial. % 0.76/0.93 (* end of lemma zenon_L238_ *) % 0.76/0.93 assert (zenon_L239_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1f4 zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.76/0.93 generalize (zenon_H1f4 (a675)). zenon_intro zenon_H23a. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_Hf | zenon_intro zenon_H23b ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ]. % 0.76/0.93 exact (zenon_H237 zenon_H23d). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.76/0.93 exact (zenon_H23f zenon_H238). % 0.76/0.93 exact (zenon_H23e zenon_H239). % 0.76/0.93 (* end of lemma zenon_L239_ *) % 0.76/0.93 assert (zenon_L240_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H75 zenon_Haf. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H241 ]. % 0.76/0.93 apply (zenon_L239_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H76 | zenon_intro zenon_Hb0 ]. % 0.76/0.93 exact (zenon_H75 zenon_H76). % 0.76/0.93 exact (zenon_Haf zenon_Hb0). % 0.76/0.93 (* end of lemma zenon_L240_ *) % 0.76/0.93 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_Had zenon_H33 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.76/0.93 apply (zenon_L240_); trivial. % 0.76/0.93 apply (zenon_L118_); trivial. % 0.76/0.93 (* end of lemma zenon_L241_ *) % 0.76/0.93 assert (zenon_L242_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hef zenon_Hb7 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H73 zenon_H43 zenon_H6f zenon_H46 zenon_H4b zenon_H7 zenon_H5 zenon_H1 zenon_H71 zenon_H6d zenon_H35 zenon_H33 zenon_H146 zenon_H145 zenon_Hb6 zenon_H14c zenon_H150. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.76/0.93 apply (zenon_L92_); trivial. % 0.76/0.93 apply (zenon_L241_); trivial. % 0.76/0.93 (* end of lemma zenon_L242_ *) % 0.76/0.93 assert (zenon_L243_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hd2 zenon_H104 zenon_H1 zenon_H102 zenon_H5b zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H33 zenon_H35 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.76/0.93 apply (zenon_L77_); trivial. % 0.76/0.93 (* end of lemma zenon_L243_ *) % 0.76/0.93 assert (zenon_L244_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp8)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H177 zenon_Hd2 zenon_H104 zenon_H102 zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H117 zenon_H11c zenon_H150 zenon_H14c zenon_Hb6 zenon_H145 zenon_H146 zenon_H33 zenon_H35 zenon_H6d zenon_H71 zenon_H1 zenon_H5 zenon_H7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H5b zenon_H12f zenon_H4e zenon_H65 zenon_H240 zenon_Haf zenon_H239 zenon_H238 zenon_H237 zenon_Had zenon_Hb7 zenon_Hef. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_L242_); trivial. % 0.76/0.93 apply (zenon_L243_); trivial. % 0.76/0.93 (* end of lemma zenon_L244_ *) % 0.76/0.93 assert (zenon_L245_ : (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H13b zenon_H10 zenon_H237 zenon_H184 zenon_H238 zenon_H239. % 0.76/0.93 generalize (zenon_H13b (a675)). zenon_intro zenon_H242. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_Hf | zenon_intro zenon_H243 ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23d | zenon_intro zenon_H244 ]. % 0.76/0.93 exact (zenon_H237 zenon_H23d). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H245 | zenon_intro zenon_H23f ]. % 0.76/0.93 generalize (zenon_H184 (a675)). zenon_intro zenon_H246. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_Hf | zenon_intro zenon_H247 ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H248 | zenon_intro zenon_H23c ]. % 0.76/0.93 exact (zenon_H245 zenon_H248). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.76/0.93 exact (zenon_H23f zenon_H238). % 0.76/0.93 exact (zenon_H23e zenon_H239). % 0.76/0.93 exact (zenon_H23f zenon_H238). % 0.76/0.93 (* end of lemma zenon_L245_ *) % 0.76/0.93 assert (zenon_L246_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a5 zenon_H239 zenon_H238 zenon_H237 zenon_H13b zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H43. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.76/0.93 apply (zenon_L245_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.76/0.93 apply (zenon_L101_); trivial. % 0.76/0.93 exact (zenon_H43 zenon_H44). % 0.76/0.93 (* end of lemma zenon_L246_ *) % 0.76/0.93 assert (zenon_L247_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H119 zenon_H249 zenon_H43 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5 zenon_H237 zenon_H238 zenon_H239. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.76/0.93 apply (zenon_L71_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.76/0.93 apply (zenon_L246_); trivial. % 0.76/0.93 apply (zenon_L239_); trivial. % 0.76/0.93 (* end of lemma zenon_L247_ *) % 0.76/0.93 assert (zenon_L248_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4e zenon_H12f zenon_H12d zenon_H89 zenon_H5b zenon_H59 zenon_H86 zenon_He8 zenon_H108 zenon_H1a5 zenon_H43 zenon_H17d zenon_H17c zenon_H17b zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H11c. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.76/0.93 apply (zenon_L144_); trivial. % 0.76/0.93 apply (zenon_L247_); trivial. % 0.76/0.93 apply (zenon_L84_); trivial. % 0.76/0.93 (* end of lemma zenon_L248_ *) % 0.76/0.93 assert (zenon_L249_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a762)) -> (~(c3_1 (a762))) -> (~(c0_1 (a762))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H249 zenon_H10d zenon_H10c zenon_H10b zenon_H13e zenon_H13d zenon_H13c zenon_H37 zenon_H10 zenon_Ha5 zenon_Ha6. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.76/0.93 apply (zenon_L71_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.76/0.93 apply (zenon_L87_); trivial. % 0.76/0.93 apply (zenon_L177_); trivial. % 0.76/0.93 (* end of lemma zenon_L249_ *) % 0.76/0.93 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp23)) -> (~(c2_1 (a711))) -> (c0_1 (a711)) -> (c1_1 (a711)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp19)) -> (~(hskp9)) -> ((hskp28)\/((hskp19)\/(hskp9))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H119 zenon_Hb7 zenon_H46 zenon_H43 zenon_H41 zenon_H13c zenon_H13d zenon_H13e zenon_H249 zenon_H59 zenon_H11 zenon_Hbb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.76/0.93 apply (zenon_L48_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H37 | zenon_intro zenon_H49 ]. % 0.76/0.93 apply (zenon_L249_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H42 | zenon_intro zenon_H44 ]. % 0.76/0.93 exact (zenon_H41 zenon_H42). % 0.76/0.93 exact (zenon_H43 zenon_H44). % 0.76/0.93 (* end of lemma zenon_L250_ *) % 0.76/0.93 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp9)) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H14d zenon_H65 zenon_H11c zenon_Hb7 zenon_H46 zenon_H43 zenon_H249 zenon_H11 zenon_Hbb zenon_H108 zenon_He8 zenon_H86 zenon_H59 zenon_H5b zenon_H89 zenon_H35 zenon_H33 zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4b zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.76/0.93 apply (zenon_L144_); trivial. % 0.76/0.93 apply (zenon_L250_); trivial. % 0.76/0.93 apply (zenon_L104_); trivial. % 0.76/0.93 apply (zenon_L105_); trivial. % 0.76/0.93 (* end of lemma zenon_L251_ *) % 0.76/0.93 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H170 zenon_H5 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1a5 zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H11c zenon_H4b zenon_H146 zenon_H35 zenon_Hbb zenon_H11 zenon_H46 zenon_Hb7 zenon_H65 zenon_H150 zenon_H102 zenon_H1 zenon_H104 zenon_Hd2 zenon_H177. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.76/0.93 apply (zenon_L248_); trivial. % 0.76/0.93 apply (zenon_L251_); trivial. % 0.76/0.93 apply (zenon_L102_); trivial. % 0.76/0.93 apply (zenon_L107_); trivial. % 0.76/0.93 apply (zenon_L108_); trivial. % 0.76/0.93 (* end of lemma zenon_L252_ *) % 0.76/0.93 assert (zenon_L253_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1be zenon_H1aa zenon_Hb2 zenon_H1a5 zenon_H146 zenon_H17a zenon_H12b zenon_H129 zenon_H1a2 zenon_Hbb zenon_H65 zenon_Hb7 zenon_H19d zenon_H193 zenon_Hc7 zenon_H79 zenon_H1 zenon_H86 zenon_H89 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H46 zenon_H4b zenon_H4e zenon_Had zenon_Haf zenon_He6 zenon_Hef zenon_H102 zenon_H104 zenon_H177 zenon_H170 zenon_H5 zenon_H171 zenon_H6f zenon_H73 zenon_H163 zenon_H1ab. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.76/0.93 apply (zenon_L136_); trivial. % 0.76/0.93 (* end of lemma zenon_L253_ *) % 0.76/0.93 assert (zenon_L254_ : (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hde zenon_H10 zenon_H9e zenon_H95 zenon_H96. % 0.76/0.93 generalize (zenon_Hde (a716)). zenon_intro zenon_H24b. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H24b); [ zenon_intro zenon_Hf | zenon_intro zenon_H24c ]. % 0.76/0.93 exact (zenon_Hf zenon_H10). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H99 ]. % 0.76/0.93 exact (zenon_H9e zenon_Ha2). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.76/0.93 exact (zenon_H9c zenon_H95). % 0.76/0.93 exact (zenon_H9b zenon_H96). % 0.76/0.93 (* end of lemma zenon_L254_ *) % 0.76/0.93 assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a708)) -> (~(c2_1 (a708))) -> (~(c1_1 (a708))) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hb8 zenon_He6 zenon_Hc0 zenon_Hbf zenon_Hbe zenon_Haf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.76/0.93 apply (zenon_L49_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.76/0.93 apply (zenon_L254_); trivial. % 0.76/0.93 exact (zenon_Haf zenon_Hb0). % 0.76/0.93 (* end of lemma zenon_L255_ *) % 0.76/0.93 assert (zenon_L256_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19f zenon_Hb6 zenon_He6 zenon_Haf zenon_H6d zenon_H6f zenon_H71. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.76/0.93 apply (zenon_L32_); trivial. % 0.76/0.93 apply (zenon_L255_); trivial. % 0.76/0.93 (* end of lemma zenon_L256_ *) % 0.76/0.93 assert (zenon_L257_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ab zenon_H177 zenon_H163 zenon_H160 zenon_H73 zenon_H1a2 zenon_Hb6 zenon_He6 zenon_Haf zenon_H6d zenon_H6f zenon_H71 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H35 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H4e zenon_H129 zenon_H12b zenon_H17a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.76/0.93 apply (zenon_L140_); trivial. % 0.76/0.93 apply (zenon_L256_); trivial. % 0.76/0.93 apply (zenon_L127_); trivial. % 0.76/0.93 apply (zenon_L149_); trivial. % 0.76/0.93 (* end of lemma zenon_L257_ *) % 0.76/0.93 assert (zenon_L258_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H184 zenon_H96 zenon_H95 zenon_H9e zenon_H10 zenon_Haf. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.76/0.93 apply (zenon_L111_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.76/0.93 apply (zenon_L254_); trivial. % 0.76/0.93 exact (zenon_Haf zenon_Hb0). % 0.76/0.93 (* end of lemma zenon_L258_ *) % 0.76/0.93 assert (zenon_L259_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp10)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (~(c3_1 (a716))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a5 zenon_Haf zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H96 zenon_H95 zenon_H8a zenon_H9e zenon_H10 zenon_H43. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.76/0.93 apply (zenon_L258_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.76/0.93 apply (zenon_L42_); trivial. % 0.76/0.93 exact (zenon_H43 zenon_H44). % 0.76/0.93 (* end of lemma zenon_L259_ *) % 0.76/0.93 assert (zenon_L260_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (c2_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19d zenon_H187 zenon_H186 zenon_H185 zenon_Hbd zenon_H52 zenon_H51 zenon_H50 zenon_H10 zenon_H193. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.76/0.93 apply (zenon_L111_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.76/0.93 apply (zenon_L23_); trivial. % 0.76/0.93 exact (zenon_H193 zenon_H194). % 0.76/0.93 (* end of lemma zenon_L260_ *) % 0.76/0.93 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (~(hskp18)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hb8 zenon_H65 zenon_H1a5 zenon_H185 zenon_H186 zenon_H187 zenon_Haf zenon_He6 zenon_H19d zenon_H193 zenon_H24d zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_Hd zenon_H25 zenon_H35 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.76/0.93 apply (zenon_L22_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H15 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H8a | zenon_intro zenon_H24e ]. % 0.76/0.93 apply (zenon_L259_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hbd | zenon_intro zenon_Ha ]. % 0.76/0.93 apply (zenon_L260_); trivial. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_L11_); trivial. % 0.76/0.93 (* end of lemma zenon_L261_ *) % 0.76/0.93 assert (zenon_L262_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19f zenon_Hb7 zenon_Hc7 zenon_H43 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.76/0.93 apply (zenon_L240_); trivial. % 0.76/0.93 apply (zenon_L50_); trivial. % 0.76/0.93 (* end of lemma zenon_L262_ *) % 0.76/0.93 assert (zenon_L263_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H237 zenon_H238 zenon_H239 zenon_H240 zenon_H71 zenon_H6f zenon_H6d zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H24d zenon_H193 zenon_H19d zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_H65 zenon_Hb6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_L261_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 (* end of lemma zenon_L263_ *) % 0.77/0.94 assert (zenon_L264_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H127 zenon_H201. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H250 ]. % 0.77/0.94 apply (zenon_L239_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H128 | zenon_intro zenon_H202 ]. % 0.77/0.94 exact (zenon_H127 zenon_H128). % 0.77/0.94 exact (zenon_H201 zenon_H202). % 0.77/0.94 (* end of lemma zenon_L264_ *) % 0.77/0.94 assert (zenon_L265_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp23)) -> (~(c1_1 (a702))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp10)) -> (~(c3_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H22f zenon_H41 zenon_Hf1 zenon_Hf9 zenon_Hf2 zenon_H102 zenon_Haf zenon_H9e zenon_H95 zenon_H96 zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.94 apply (zenon_L258_); trivial. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 (* end of lemma zenon_L265_ *) % 0.77/0.94 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H22b zenon_H11 zenon_H13 zenon_H16 zenon_H20a zenon_H209 zenon_H208 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.94 apply (zenon_L25_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H207 | zenon_intro zenon_H22c ]. % 0.77/0.94 apply (zenon_L186_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H5d | zenon_intro zenon_H4f ]. % 0.77/0.94 apply (zenon_L27_); trivial. % 0.77/0.94 apply (zenon_L23_); trivial. % 0.77/0.94 (* end of lemma zenon_L266_ *) % 0.77/0.94 assert (zenon_L267_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H162 zenon_H216 zenon_Hef zenon_Hb7 zenon_Had zenon_H240 zenon_H71 zenon_H6f zenon_H6d zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H185 zenon_H186 zenon_H187 zenon_Haf zenon_He6 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H16 zenon_H13 zenon_H11 zenon_H22b zenon_H4b zenon_H4e zenon_H65 zenon_Hb6 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L265_); trivial. % 0.77/0.94 apply (zenon_L266_); trivial. % 0.77/0.94 apply (zenon_L241_); trivial. % 0.77/0.94 (* end of lemma zenon_L267_ *) % 0.77/0.94 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp10)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb8 zenon_Hb2 zenon_H43 zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_H17d zenon_H17c zenon_H17b zenon_Haf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hb5 ]. % 0.77/0.94 apply (zenon_L259_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L101_); trivial. % 0.77/0.94 exact (zenon_Haf zenon_Hb0). % 0.77/0.94 (* end of lemma zenon_L268_ *) % 0.77/0.94 assert (zenon_L269_ : (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c3_1 (a696))) -> (c1_1 (a696)) -> (c2_1 (a696)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hde zenon_H10 zenon_H152 zenon_H15e zenon_H151. % 0.77/0.94 generalize (zenon_Hde (a696)). zenon_intro zenon_H251. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_Hf | zenon_intro zenon_H252 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H15f | zenon_intro zenon_H157 ]. % 0.77/0.94 exact (zenon_H152 zenon_H15f). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.77/0.94 exact (zenon_H15a zenon_H15e). % 0.77/0.94 exact (zenon_H159 zenon_H151). % 0.77/0.94 (* end of lemma zenon_L269_ *) % 0.77/0.94 assert (zenon_L270_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H153 zenon_H10 zenon_Hde zenon_H152 zenon_H151. % 0.77/0.94 generalize (zenon_H153 (a696)). zenon_intro zenon_H15b. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_Hf | zenon_intro zenon_H15c ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.77/0.94 apply (zenon_L269_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H159 ]. % 0.77/0.94 exact (zenon_H152 zenon_H15f). % 0.77/0.94 exact (zenon_H159 zenon_H151). % 0.77/0.94 (* end of lemma zenon_L270_ *) % 0.77/0.94 assert (zenon_L271_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1e8 zenon_Hde zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H152 zenon_H154 zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.77/0.94 apply (zenon_L270_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 apply (zenon_L167_); trivial. % 0.77/0.94 (* end of lemma zenon_L271_ *) % 0.77/0.94 assert (zenon_L272_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp10)) -> False). % 0.77/0.94 do 0 intro. intros zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H184 zenon_H151 zenon_H154 zenon_H152 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_Haf. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.94 apply (zenon_L111_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L271_); trivial. % 0.77/0.94 exact (zenon_Haf zenon_Hb0). % 0.77/0.94 (* end of lemma zenon_L272_ *) % 0.77/0.94 assert (zenon_L273_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp23)) -> (~(c1_1 (a702))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H22f zenon_H41 zenon_Hf1 zenon_Hf9 zenon_Hf2 zenon_H102 zenon_Haf zenon_H1e8 zenon_H152 zenon_H154 zenon_H151 zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.94 apply (zenon_L272_); trivial. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 (* end of lemma zenon_L273_ *) % 0.77/0.94 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c0_1 (a696)) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a696)) -> (~(c3_1 (a696))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hb2 zenon_H22f zenon_H185 zenon_H186 zenon_H187 zenon_H1e8 zenon_H154 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H151 zenon_H152 zenon_Haf zenon_He6 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4b zenon_H4e zenon_H65. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L273_); trivial. % 0.77/0.94 apply (zenon_L105_); trivial. % 0.77/0.94 apply (zenon_L102_); trivial. % 0.77/0.94 (* end of lemma zenon_L274_ *) % 0.77/0.94 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H170 zenon_H5 zenon_Hb6 zenon_Hb2 zenon_H17d zenon_H17c zenon_H17b zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_H6d zenon_H6f zenon_H71 zenon_H65 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H5b zenon_H102 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H22f zenon_Hef zenon_H177. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_L268_); trivial. % 0.77/0.94 apply (zenon_L274_); trivial. % 0.77/0.94 apply (zenon_L108_); trivial. % 0.77/0.94 (* end of lemma zenon_L275_ *) % 0.77/0.94 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H217 zenon_H1d5 zenon_H171 zenon_H6d zenon_H11. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.94 apply (zenon_L160_); trivial. % 0.77/0.94 (* end of lemma zenon_L276_ *) % 0.77/0.94 assert (zenon_L277_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H184 zenon_H10 zenon_Hd3 zenon_H237 zenon_H239 zenon_H238. % 0.77/0.94 generalize (zenon_H184 (a675)). zenon_intro zenon_H246. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_Hf | zenon_intro zenon_H247 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H248 | zenon_intro zenon_H23c ]. % 0.77/0.94 generalize (zenon_Hd3 (a675)). zenon_intro zenon_H253. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_Hf | zenon_intro zenon_H254 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23d | zenon_intro zenon_H255 ]. % 0.77/0.94 exact (zenon_H237 zenon_H23d). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H245 | zenon_intro zenon_H23e ]. % 0.77/0.94 exact (zenon_H245 zenon_H248). % 0.77/0.94 exact (zenon_H23e zenon_H239). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.77/0.94 exact (zenon_H23f zenon_H238). % 0.77/0.94 exact (zenon_H23e zenon_H239). % 0.77/0.94 (* end of lemma zenon_L277_ *) % 0.77/0.94 assert (zenon_L278_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H238 zenon_H239 zenon_H237 zenon_H184 zenon_H10 zenon_H152 zenon_H154 zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.77/0.94 apply (zenon_L277_); trivial. % 0.77/0.94 apply (zenon_L167_); trivial. % 0.77/0.94 (* end of lemma zenon_L278_ *) % 0.77/0.94 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H193 zenon_H19d zenon_H151 zenon_H154 zenon_H152 zenon_H237 zenon_H239 zenon_H238 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.77/0.94 apply (zenon_L278_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.77/0.94 apply (zenon_L231_); trivial. % 0.77/0.94 exact (zenon_H193 zenon_H194). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.94 apply (zenon_L278_); trivial. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 (* end of lemma zenon_L279_ *) % 0.77/0.94 assert (zenon_L280_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ac zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H193 zenon_H19d zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L279_); trivial. % 0.77/0.94 (* end of lemma zenon_L280_ *) % 0.77/0.94 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H213 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H43 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H21e zenon_H21f zenon_H220 zenon_H227 zenon_H4b zenon_H4e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.77/0.94 apply (zenon_L203_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 (* end of lemma zenon_L281_ *) % 0.77/0.94 assert (zenon_L282_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H216 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H43 zenon_Haf zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H21e zenon_H21f zenon_H220 zenon_H227 zenon_H4b zenon_H4e zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L281_); trivial. % 0.77/0.94 (* end of lemma zenon_L282_ *) % 0.77/0.94 assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H162 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L188_); trivial. % 0.77/0.94 (* end of lemma zenon_L283_ *) % 0.77/0.94 assert (zenon_L284_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H177 zenon_H104 zenon_H1 zenon_H211 zenon_H24f zenon_H127 zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H4e zenon_H4b zenon_H227 zenon_H220 zenon_H21f zenon_H21e zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H240 zenon_Haf zenon_Hc7 zenon_Hb7 zenon_H1a2 zenon_H216. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L282_); trivial. % 0.77/0.94 apply (zenon_L283_); trivial. % 0.77/0.94 (* end of lemma zenon_L284_ *) % 0.77/0.94 assert (zenon_L285_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H176 zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L235_); trivial. % 0.77/0.94 (* end of lemma zenon_L285_ *) % 0.77/0.94 assert (zenon_L286_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H17a zenon_H205 zenon_H216 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_Haf zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H21e zenon_H21f zenon_H220 zenon_H227 zenon_H4b zenon_H4e zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f zenon_H211 zenon_H1 zenon_H104 zenon_H177. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_L284_); trivial. % 0.77/0.94 apply (zenon_L285_); trivial. % 0.77/0.94 (* end of lemma zenon_L286_ *) % 0.77/0.94 assert (zenon_L287_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H177 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H24f zenon_H127 zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H4e zenon_H4b zenon_H227 zenon_H220 zenon_H21f zenon_H21e zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H240 zenon_Haf zenon_Hc7 zenon_Hb7 zenon_H1a2 zenon_H216. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L282_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L221_); trivial. % 0.77/0.94 (* end of lemma zenon_L287_ *) % 0.77/0.94 assert (zenon_L288_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (ndr1_0) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H216 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H43 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H33 zenon_H227 zenon_H4b zenon_H4e zenon_H10 zenon_H21e zenon_H21f zenon_H220 zenon_H152 zenon_H154 zenon_H151 zenon_H203. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L200_); trivial. % 0.77/0.94 apply (zenon_L281_); trivial. % 0.77/0.94 (* end of lemma zenon_L288_ *) % 0.77/0.94 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H205 zenon_H216 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H35 zenon_H227 zenon_H4b zenon_H4e zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H211 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_H177. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L288_); trivial. % 0.77/0.94 apply (zenon_L222_); trivial. % 0.77/0.94 apply (zenon_L285_); trivial. % 0.77/0.94 (* end of lemma zenon_L289_ *) % 0.77/0.94 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ed zenon_H1ab zenon_H205 zenon_H203 zenon_H177 zenon_H22f zenon_H211 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H4e zenon_H4b zenon_H227 zenon_H220 zenon_H21f zenon_H21e zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H240 zenon_Haf zenon_Hc7 zenon_Hb7 zenon_H1a2 zenon_H216 zenon_H129 zenon_H12b zenon_H17a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_L287_); trivial. % 0.77/0.94 apply (zenon_L127_); trivial. % 0.77/0.94 apply (zenon_L289_); trivial. % 0.77/0.94 (* end of lemma zenon_L290_ *) % 0.77/0.94 assert (zenon_L291_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H213 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H15 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_L159_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H207 | zenon_intro zenon_Ha ]. % 0.77/0.94 apply (zenon_L186_); trivial. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_L11_); trivial. % 0.77/0.94 (* end of lemma zenon_L291_ *) % 0.77/0.94 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ac zenon_H216 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H256 zenon_H21e zenon_H21f zenon_H220 zenon_H203. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L200_); trivial. % 0.77/0.94 apply (zenon_L291_); trivial. % 0.77/0.94 (* end of lemma zenon_L292_ *) % 0.77/0.94 assert (zenon_L293_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H217 zenon_H1ab zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H256 zenon_H171 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H216. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L291_); trivial. % 0.77/0.94 apply (zenon_L292_); trivial. % 0.77/0.94 (* end of lemma zenon_L293_ *) % 0.77/0.94 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(c1_1 (a680))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H1d9 zenon_H1d8 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1d7 zenon_H1e8 zenon_H220 zenon_H21f zenon_H21e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.94 apply (zenon_L166_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.94 apply (zenon_L192_); trivial. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 (* end of lemma zenon_L294_ *) % 0.77/0.94 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ed zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L294_); trivial. % 0.77/0.94 (* end of lemma zenon_L295_ *) % 0.77/0.94 assert (zenon_L296_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H218 zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H237 zenon_H238 zenon_H239 zenon_H240 zenon_H177 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H21e zenon_H21f zenon_H220 zenon_H193 zenon_H19d zenon_H65 zenon_H17a zenon_H170 zenon_H5 zenon_Haf zenon_Hb2 zenon_H229 zenon_H35 zenon_H146 zenon_H4e zenon_H1a5 zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H1ab zenon_H1aa. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_L227_); trivial. % 0.77/0.94 apply (zenon_L295_); trivial. % 0.77/0.94 (* end of lemma zenon_L296_ *) % 0.77/0.94 assert (zenon_L297_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c1_1 (a680))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (~(c3_1 (a680))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H203 zenon_H151 zenon_H154 zenon_H152 zenon_H237 zenon_H239 zenon_H238 zenon_H1d7 zenon_H1e8 zenon_H1d9 zenon_H11d zenon_H1d8 zenon_H10 zenon_H201. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H184 | zenon_intro zenon_H204 ]. % 0.77/0.94 apply (zenon_L278_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H202 ]. % 0.77/0.94 apply (zenon_L165_); trivial. % 0.77/0.94 exact (zenon_H201 zenon_H202). % 0.77/0.94 (* end of lemma zenon_L297_ *) % 0.77/0.94 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H201 zenon_H203 zenon_H151 zenon_H154 zenon_H152 zenon_H237 zenon_H239 zenon_H238 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.94 apply (zenon_L297_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.94 apply (zenon_L278_); trivial. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 (* end of lemma zenon_L298_ *) % 0.77/0.94 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H89 zenon_H1f2 zenon_H171 zenon_H79 zenon_H203 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H237 zenon_H239 zenon_H238 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L170_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L234_); trivial. % 0.77/0.94 apply (zenon_L298_); trivial. % 0.77/0.94 apply (zenon_L215_); trivial. % 0.77/0.94 (* end of lemma zenon_L299_ *) % 0.77/0.94 assert (zenon_L300_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H217 zenon_H218 zenon_H216 zenon_H22b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H129 zenon_H12b zenon_H237 zenon_H238 zenon_H239 zenon_H24f zenon_H66 zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H203 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177 zenon_H1ab. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L233_); trivial. % 0.77/0.94 apply (zenon_L299_); trivial. % 0.77/0.94 apply (zenon_L169_); trivial. % 0.77/0.94 (* end of lemma zenon_L300_ *) % 0.77/0.94 assert (zenon_L301_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp27))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H258 zenon_H227 zenon_H256 zenon_H21d zenon_H1d5 zenon_H1c1 zenon_H1a2 zenon_H19d zenon_H193 zenon_Hc7 zenon_H79 zenon_H24 zenon_H25 zenon_He6 zenon_H1ab zenon_H163 zenon_H13 zenon_H16 zenon_H171 zenon_H170 zenon_H177 zenon_Hd2 zenon_H104 zenon_H102 zenon_H89 zenon_H86 zenon_H108 zenon_H117 zenon_H11c zenon_H150 zenon_H14c zenon_Hb6 zenon_H145 zenon_H146 zenon_H35 zenon_H71 zenon_H5 zenon_H7 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H5b zenon_H12f zenon_H4e zenon_H65 zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_Had zenon_Hb7 zenon_Hef zenon_H129 zenon_H12b zenon_H17a zenon_Hbb zenon_H249 zenon_H1a5 zenon_Hb2 zenon_H1aa zenon_H1b8 zenon_H216 zenon_H22f zenon_H22b zenon_H24f zenon_H24d zenon_H229 zenon_H1e8 zenon_H218 zenon_H205 zenon_H203 zenon_H211 zenon_H66 zenon_H1f2 zenon_H1fc zenon_H219 zenon_H233. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_L244_); trivial. % 0.77/0.94 apply (zenon_L127_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_L244_); trivial. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L253_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_L257_); trivial. % 0.77/0.94 apply (zenon_L151_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L263_); trivial. % 0.77/0.94 apply (zenon_L267_); trivial. % 0.77/0.94 apply (zenon_L127_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L263_); trivial. % 0.77/0.94 apply (zenon_L96_); trivial. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_L220_); trivial. % 0.77/0.94 apply (zenon_L275_); trivial. % 0.77/0.94 apply (zenon_L276_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_L244_); trivial. % 0.77/0.94 apply (zenon_L163_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_L220_); trivial. % 0.77/0.94 apply (zenon_L280_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_L242_); trivial. % 0.77/0.94 apply (zenon_L189_); trivial. % 0.77/0.94 apply (zenon_L127_); trivial. % 0.77/0.94 apply (zenon_L280_); trivial. % 0.77/0.94 apply (zenon_L169_); trivial. % 0.77/0.94 apply (zenon_L190_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_L286_); trivial. % 0.77/0.94 apply (zenon_L207_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L253_); trivial. % 0.77/0.94 apply (zenon_L290_); trivial. % 0.77/0.94 apply (zenon_L293_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.94 apply (zenon_L296_); trivial. % 0.77/0.94 apply (zenon_L300_); trivial. % 0.77/0.94 (* end of lemma zenon_L301_ *) % 0.77/0.94 assert (zenon_L302_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25c zenon_H10 zenon_H25d zenon_H25e zenon_H25f. % 0.77/0.94 generalize (zenon_H25c (a673)). zenon_intro zenon_H260. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_Hf | zenon_intro zenon_H261 ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 0.77/0.94 exact (zenon_H25d zenon_H263). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H265 | zenon_intro zenon_H264 ]. % 0.77/0.94 exact (zenon_H25e zenon_H265). % 0.77/0.94 exact (zenon_H25f zenon_H264). % 0.77/0.94 (* end of lemma zenon_L302_ *) % 0.77/0.94 assert (zenon_L303_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp9)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H266 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H160 zenon_H11. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H25c | zenon_intro zenon_H267 ]. % 0.77/0.94 apply (zenon_L302_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H161 | zenon_intro zenon_H12 ]. % 0.77/0.94 exact (zenon_H160 zenon_H161). % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 (* end of lemma zenon_L303_ *) % 0.77/0.94 assert (zenon_L304_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H268 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H75 zenon_Hda. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H25c | zenon_intro zenon_H269 ]. % 0.77/0.94 apply (zenon_L302_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H76 | zenon_intro zenon_Hdb ]. % 0.77/0.94 exact (zenon_H75 zenon_H76). % 0.77/0.94 exact (zenon_Hda zenon_Hdb). % 0.77/0.94 (* end of lemma zenon_L304_ *) % 0.77/0.94 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp15)) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_Had zenon_H33 zenon_H25d zenon_H25e zenon_H25f zenon_Hda zenon_H268. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L304_); trivial. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 (* end of lemma zenon_L305_ *) % 0.77/0.94 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H170 zenon_H5 zenon_Haf zenon_Hb2 zenon_Hef zenon_Hb7 zenon_Had zenon_H25d zenon_H25e zenon_H25f zenon_Hda zenon_H268 zenon_H4b zenon_H46 zenon_H6f zenon_H73 zenon_H5b zenon_H35 zenon_H146 zenon_H4e zenon_H65 zenon_H11c zenon_H6d zenon_H117 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H102 zenon_H1 zenon_H104 zenon_Hd2 zenon_H177. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L82_); trivial. % 0.77/0.94 apply (zenon_L105_); trivial. % 0.77/0.94 apply (zenon_L305_); trivial. % 0.77/0.94 apply (zenon_L243_); trivial. % 0.77/0.94 apply (zenon_L108_); trivial. % 0.77/0.94 (* end of lemma zenon_L306_ *) % 0.77/0.94 assert (zenon_L307_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1be zenon_H1aa zenon_H17a zenon_H170 zenon_H5 zenon_Hef zenon_Hb2 zenon_Haf zenon_Hb7 zenon_H79 zenon_H1 zenon_H1a5 zenon_Hc7 zenon_H5b zenon_H89 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H65 zenon_H102 zenon_H104 zenon_Had zenon_H86 zenon_He6 zenon_H193 zenon_H19d zenon_H177 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_L303_); trivial. % 0.77/0.94 apply (zenon_L135_); trivial. % 0.77/0.94 (* end of lemma zenon_L307_ *) % 0.77/0.94 assert (zenon_L308_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1aa zenon_H17a zenon_H170 zenon_H5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_Haf zenon_Hb2 zenon_Hef zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_L303_); trivial. % 0.77/0.94 apply (zenon_L151_); trivial. % 0.77/0.94 (* end of lemma zenon_L308_ *) % 0.77/0.94 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp16)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_H205 zenon_H193 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H19d zenon_H43 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.77/0.94 apply (zenon_L112_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.77/0.94 apply (zenon_L231_); trivial. % 0.77/0.94 exact (zenon_H193 zenon_H194). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.94 apply (zenon_L112_); trivial. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 (* end of lemma zenon_L309_ *) % 0.77/0.94 assert (zenon_L310_ : (forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1e0 zenon_H10 zenon_H9e zenon_H10a zenon_H95 zenon_H96. % 0.77/0.94 generalize (zenon_H1e0 (a716)). zenon_intro zenon_H26a. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_Hf | zenon_intro zenon_H26b ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26c ]. % 0.77/0.94 exact (zenon_H9e zenon_Ha2). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H94 | zenon_intro zenon_H9b ]. % 0.77/0.94 generalize (zenon_H10a (a716)). zenon_intro zenon_H26d. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_Hf | zenon_intro zenon_H26e ]. % 0.77/0.94 exact (zenon_Hf zenon_H10). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H9a | zenon_intro zenon_H26f ]. % 0.77/0.94 exact (zenon_H94 zenon_H9a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H9c ]. % 0.77/0.94 exact (zenon_H9e zenon_Ha2). % 0.77/0.94 exact (zenon_H9c zenon_H95). % 0.77/0.94 exact (zenon_H9b zenon_H96). % 0.77/0.94 (* end of lemma zenon_L310_ *) % 0.77/0.94 assert (zenon_L311_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H9e zenon_H10a zenon_H95 zenon_H96. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 apply (zenon_L310_); trivial. % 0.77/0.94 (* end of lemma zenon_L311_ *) % 0.77/0.94 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp12)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb8 zenon_H1b8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_He8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H10a | zenon_intro zenon_H1b9 ]. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_He9 ]. % 0.77/0.94 apply (zenon_L137_); trivial. % 0.77/0.94 exact (zenon_He8 zenon_He9). % 0.77/0.94 (* end of lemma zenon_L312_ *) % 0.77/0.94 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hdc zenon_Hda zenon_H71 zenon_H6f zenon_H6d zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b8 zenon_Hb6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_L312_); trivial. % 0.77/0.94 apply (zenon_L153_); trivial. % 0.77/0.94 (* end of lemma zenon_L313_ *) % 0.77/0.94 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_L210_); trivial. % 0.77/0.94 apply (zenon_L223_); trivial. % 0.77/0.94 (* end of lemma zenon_L314_ *) % 0.77/0.94 assert (zenon_L315_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H218 zenon_H22f zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H17a zenon_H170 zenon_H5 zenon_Haf zenon_Hb2 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_L303_); trivial. % 0.77/0.94 apply (zenon_L213_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.94 apply (zenon_L303_); trivial. % 0.77/0.94 apply (zenon_L314_); trivial. % 0.77/0.94 (* end of lemma zenon_L315_ *) % 0.77/0.94 assert (zenon_L316_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb7 zenon_H205 zenon_H21e zenon_H21f zenon_H220 zenon_H1d8 zenon_H1d9 zenon_H201 zenon_H203 zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_Hda zenon_H268. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L304_); trivial. % 0.77/0.94 apply (zenon_L230_); trivial. % 0.77/0.94 (* end of lemma zenon_L316_ *) % 0.77/0.94 assert (zenon_L317_ : (~(hskp6)) -> (hskp6) -> False). % 0.77/0.94 do 0 intro. intros zenon_H270 zenon_H271. % 0.77/0.94 exact (zenon_H270 zenon_H271). % 0.77/0.94 (* end of lemma zenon_L317_ *) % 0.77/0.94 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H213 zenon_H272 zenon_H25f zenon_H25e zenon_H25d zenon_H270. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H25c | zenon_intro zenon_H273 ]. % 0.77/0.94 apply (zenon_L302_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H207 | zenon_intro zenon_H271 ]. % 0.77/0.94 apply (zenon_L186_); trivial. % 0.77/0.94 exact (zenon_H270 zenon_H271). % 0.77/0.94 (* end of lemma zenon_L318_ *) % 0.77/0.94 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H234 zenon_H216 zenon_H272 zenon_H270 zenon_H268 zenon_Hda zenon_H25f zenon_H25e zenon_H25d zenon_H203 zenon_H220 zenon_H21f zenon_H21e zenon_H205 zenon_Hb7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L316_); trivial. % 0.77/0.94 apply (zenon_L318_); trivial. % 0.77/0.94 (* end of lemma zenon_L319_ *) % 0.77/0.94 assert (zenon_L320_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H216 zenon_H272 zenon_H270 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.94 apply (zenon_L264_); trivial. % 0.77/0.94 apply (zenon_L318_); trivial. % 0.77/0.94 (* end of lemma zenon_L320_ *) % 0.77/0.94 assert (zenon_L321_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1ab zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H193 zenon_H19d zenon_Haf zenon_H240 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H270 zenon_H272 zenon_H216. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.94 apply (zenon_L320_); trivial. % 0.77/0.94 apply (zenon_L280_); trivial. % 0.77/0.94 (* end of lemma zenon_L321_ *) % 0.77/0.94 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H22b zenon_H129 zenon_H12b zenon_H66 zenon_H203 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177 zenon_H216 zenon_H272 zenon_H270 zenon_H25f zenon_H25e zenon_H25d zenon_H237 zenon_H238 zenon_H239 zenon_H24f zenon_H240 zenon_H19d zenon_H193 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H1ab. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.95 apply (zenon_L321_); trivial. % 0.77/0.95 apply (zenon_L300_); trivial. % 0.77/0.95 (* end of lemma zenon_L322_ *) % 0.77/0.95 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H1 zenon_H79 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.95 apply (zenon_L209_); trivial. % 0.77/0.95 apply (zenon_L236_); trivial. % 0.77/0.95 apply (zenon_L212_); trivial. % 0.77/0.95 (* end of lemma zenon_L323_ *) % 0.77/0.95 assert (zenon_L324_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H1 zenon_H79 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H17a zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_L323_); trivial. % 0.77/0.95 (* end of lemma zenon_L324_ *) % 0.77/0.95 assert (zenon_L325_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4a zenon_H219 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H171 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.95 apply (zenon_L159_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_L239_); trivial. % 0.77/0.95 (* end of lemma zenon_L325_ *) % 0.77/0.95 assert (zenon_L326_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4e zenon_H219 zenon_H239 zenon_H238 zenon_H237 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_L208_); trivial. % 0.77/0.95 apply (zenon_L325_); trivial. % 0.77/0.95 (* end of lemma zenon_L326_ *) % 0.77/0.95 assert (zenon_L327_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H217 zenon_H218 zenon_H22f zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H17a zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H1a5 zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.95 apply (zenon_L324_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_L326_); trivial. % 0.77/0.95 apply (zenon_L223_); trivial. % 0.77/0.95 (* end of lemma zenon_L327_ *) % 0.77/0.95 assert (zenon_L328_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H21d zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_Hb7 zenon_H205 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H1aa zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_H5 zenon_H170 zenon_H17a zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266 zenon_H22f zenon_H218. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.95 apply (zenon_L315_); trivial. % 0.77/0.95 apply (zenon_L327_); trivial. % 0.77/0.95 (* end of lemma zenon_L328_ *) % 0.77/0.95 assert (zenon_L329_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a674))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c3_1 (a674)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hbd zenon_H10 zenon_H274 zenon_Hfe zenon_H275. % 0.77/0.95 generalize (zenon_Hbd (a674)). zenon_intro zenon_H276. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_Hf | zenon_intro zenon_H277 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 0.77/0.95 exact (zenon_H274 zenon_H279). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27b | zenon_intro zenon_H27a ]. % 0.77/0.95 generalize (zenon_Hfe (a674)). zenon_intro zenon_H27c. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_Hf | zenon_intro zenon_H27d ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H279 | zenon_intro zenon_H27e ]. % 0.77/0.95 exact (zenon_H274 zenon_H279). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27f | zenon_intro zenon_H27a ]. % 0.77/0.95 exact (zenon_H27f zenon_H27b). % 0.77/0.95 exact (zenon_H27a zenon_H275). % 0.77/0.95 exact (zenon_H27a zenon_H275). % 0.77/0.95 (* end of lemma zenon_L329_ *) % 0.77/0.95 assert (zenon_L330_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (c0_1 (a753)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (~(hskp23)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H102 zenon_H7e zenon_H7d zenon_H7c zenon_H37 zenon_H275 zenon_H274 zenon_H10 zenon_Hbd zenon_H41. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H4f | zenon_intro zenon_H103 ]. % 0.77/0.95 apply (zenon_L141_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_H42 ]. % 0.77/0.95 apply (zenon_L329_); trivial. % 0.77/0.95 exact (zenon_H41 zenon_H42). % 0.77/0.95 (* end of lemma zenon_L330_ *) % 0.77/0.95 assert (zenon_L331_ : ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> (~(hskp23)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> False). % 0.77/0.95 do 0 intro. intros zenon_H86 zenon_Hbd zenon_H274 zenon_H275 zenon_H41 zenon_H102 zenon_H7e zenon_H7d zenon_H7c zenon_H10. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.77/0.95 apply (zenon_L37_); trivial. % 0.77/0.95 apply (zenon_L330_); trivial. % 0.77/0.95 (* end of lemma zenon_L331_ *) % 0.77/0.95 assert (zenon_L332_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7)))))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H27 zenon_H10 zenon_Hde zenon_H152 zenon_H151 zenon_H154. % 0.77/0.95 generalize (zenon_H27 (a696)). zenon_intro zenon_H280. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_Hf | zenon_intro zenon_H281 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H15e | zenon_intro zenon_H282 ]. % 0.77/0.95 apply (zenon_L269_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H15f | zenon_intro zenon_H158 ]. % 0.77/0.95 exact (zenon_H152 zenon_H15f). % 0.77/0.95 exact (zenon_H158 zenon_H154). % 0.77/0.95 (* end of lemma zenon_L332_ *) % 0.77/0.95 assert (zenon_L333_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> (~(c3_1 (a696))) -> (forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H35 zenon_H154 zenon_H151 zenon_H152 zenon_Hde zenon_H10 zenon_H31 zenon_H33. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H27 | zenon_intro zenon_H36 ]. % 0.77/0.95 apply (zenon_L332_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.77/0.95 exact (zenon_H31 zenon_H32). % 0.77/0.95 exact (zenon_H33 zenon_H34). % 0.77/0.95 (* end of lemma zenon_L333_ *) % 0.77/0.95 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp15)) -> (~(hskp29)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp10)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H85 zenon_He6 zenon_H102 zenon_H41 zenon_H275 zenon_H274 zenon_H86 zenon_H33 zenon_H31 zenon_H152 zenon_H151 zenon_H154 zenon_H35 zenon_Haf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.95 apply (zenon_L331_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.95 apply (zenon_L333_); trivial. % 0.77/0.95 exact (zenon_Haf zenon_Hb0). % 0.77/0.95 (* end of lemma zenon_L334_ *) % 0.77/0.95 assert (zenon_L335_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_H274 zenon_H283 zenon_H275. % 0.77/0.95 generalize (zenon_Hc9 (a674)). zenon_intro zenon_H284. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_Hf | zenon_intro zenon_H285 ]. % 0.77/0.95 exact (zenon_Hf zenon_H10). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H279 | zenon_intro zenon_H286 ]. % 0.77/0.95 exact (zenon_H274 zenon_H279). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H287 | zenon_intro zenon_H27a ]. % 0.77/0.95 exact (zenon_H287 zenon_H283). % 0.77/0.95 exact (zenon_H27a zenon_H275). % 0.77/0.95 (* end of lemma zenon_L335_ *) % 0.77/0.95 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(hskp8)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H119 zenon_H117 zenon_H275 zenon_H283 zenon_H274 zenon_H6d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/0.95 apply (zenon_L71_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 exact (zenon_H6d zenon_H6e). % 0.77/0.95 (* end of lemma zenon_L336_ *) % 0.77/0.95 assert (zenon_L337_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11c zenon_H117 zenon_H6d zenon_H283 zenon_H89 zenon_He6 zenon_Haf zenon_H152 zenon_H151 zenon_H154 zenon_H33 zenon_H35 zenon_H102 zenon_H41 zenon_H275 zenon_H274 zenon_H86 zenon_He8 zenon_H108 zenon_H4b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 apply (zenon_L334_); trivial. % 0.77/0.95 apply (zenon_L69_); trivial. % 0.77/0.95 apply (zenon_L336_); trivial. % 0.77/0.95 (* end of lemma zenon_L337_ *) % 0.77/0.95 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hea zenon_Hd2 zenon_H275 zenon_H283 zenon_H274. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L40_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 (* end of lemma zenon_L338_ *) % 0.77/0.95 assert (zenon_L339_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hef zenon_Hd2 zenon_H11c zenon_H117 zenon_H6d zenon_H283 zenon_H89 zenon_He6 zenon_Haf zenon_H152 zenon_H151 zenon_H154 zenon_H33 zenon_H35 zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_He8 zenon_H108 zenon_H4b zenon_H5b zenon_H17b zenon_H17c zenon_H17d zenon_H146 zenon_H4e zenon_H65. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L337_); trivial. % 0.77/0.95 apply (zenon_L105_); trivial. % 0.77/0.95 apply (zenon_L338_); trivial. % 0.77/0.95 (* end of lemma zenon_L339_ *) % 0.77/0.95 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H170 zenon_H5 zenon_Hb2 zenon_H65 zenon_H4e zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H5b zenon_H4b zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_H35 zenon_Haf zenon_He6 zenon_H89 zenon_H283 zenon_H6d zenon_H117 zenon_H11c zenon_Hd2 zenon_Hef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.95 apply (zenon_L339_); trivial. % 0.77/0.95 apply (zenon_L108_); trivial. % 0.77/0.95 (* end of lemma zenon_L340_ *) % 0.77/0.95 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H65 zenon_H5b zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_He6 zenon_H89 zenon_H283 zenon_H6d zenon_H117 zenon_H11c zenon_Hd2 zenon_Hef zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_L210_); trivial. % 0.77/0.95 apply (zenon_L340_); trivial. % 0.77/0.95 (* end of lemma zenon_L341_ *) % 0.77/0.95 assert (zenon_L342_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H65 zenon_H5b zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_He6 zenon_H89 zenon_H283 zenon_H6d zenon_H117 zenon_H11c zenon_Hd2 zenon_Hef zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_L341_); trivial. % 0.77/0.95 (* end of lemma zenon_L342_ *) % 0.77/0.95 assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb8 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H43 zenon_H1a5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L259_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 (* end of lemma zenon_L343_ *) % 0.77/0.95 assert (zenon_L344_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb6 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H43 zenon_H1a5 zenon_H6d zenon_H6f zenon_H71. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_L343_); trivial. % 0.77/0.95 (* end of lemma zenon_L344_ *) % 0.77/0.95 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_Hb6 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_H6d zenon_H6f zenon_H71 zenon_H65 zenon_H5b zenon_H102 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H22f zenon_Hef zenon_H177 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_Haf zenon_H5 zenon_H170 zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_L210_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L344_); trivial. % 0.77/0.95 apply (zenon_L274_); trivial. % 0.77/0.95 apply (zenon_L108_); trivial. % 0.77/0.95 (* end of lemma zenon_L345_ *) % 0.77/0.95 assert (zenon_L346_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H21d zenon_H1d5 zenon_H171 zenon_H1c1 zenon_Hb7 zenon_H79 zenon_H1a5 zenon_Hc7 zenon_H104 zenon_Had zenon_H193 zenon_H19d zenon_H177 zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H17a zenon_H170 zenon_H5 zenon_Hb2 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_Hef zenon_Hd2 zenon_H11c zenon_H117 zenon_H6d zenon_H283 zenon_H89 zenon_He6 zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_H108 zenon_H5b zenon_H65 zenon_H1ab zenon_H1aa zenon_H22f zenon_H1e8 zenon_H71 zenon_H6f zenon_Hb6 zenon_H218. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.95 apply (zenon_L342_); trivial. % 0.77/0.95 apply (zenon_L307_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.95 apply (zenon_L342_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_L345_); trivial. % 0.77/0.95 apply (zenon_L276_); trivial. % 0.77/0.95 (* end of lemma zenon_L346_ *) % 0.77/0.95 assert (zenon_L347_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H89 zenon_He6 zenon_Haf zenon_H96 zenon_H95 zenon_H9e zenon_H102 zenon_H41 zenon_H275 zenon_H274 zenon_H86 zenon_H106 zenon_He8 zenon_H108. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.95 apply (zenon_L331_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.95 apply (zenon_L254_); trivial. % 0.77/0.95 exact (zenon_Haf zenon_Hb0). % 0.77/0.95 (* end of lemma zenon_L347_ *) % 0.77/0.95 assert (zenon_L348_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> (~(hskp23)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(c3_1 (a716))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11c zenon_H117 zenon_H6d zenon_H283 zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H41 zenon_H102 zenon_H9e zenon_H95 zenon_H96 zenon_Haf zenon_He6 zenon_H89. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_L347_); trivial. % 0.77/0.95 apply (zenon_L336_); trivial. % 0.77/0.95 (* end of lemma zenon_L348_ *) % 0.77/0.95 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (c0_1 (a674)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H149 zenon_Hb6 zenon_H65 zenon_H4e zenon_H4b zenon_H145 zenon_H13e zenon_H13d zenon_H13c zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b zenon_H89 zenon_He6 zenon_Haf zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_He8 zenon_H108 zenon_H283 zenon_H117 zenon_H11c zenon_H6d zenon_H6f zenon_H71. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H10. zenon_intro zenon_H14a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H134. zenon_intro zenon_H14b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L348_); trivial. % 0.77/0.95 apply (zenon_L88_); trivial. % 0.77/0.95 (* end of lemma zenon_L349_ *) % 0.77/0.95 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a700))) -> (c2_1 (a700)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4a zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H11e zenon_H120 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H25d zenon_H25e zenon_H25f zenon_Hda zenon_H268. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L304_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L97_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_L178_); trivial. % 0.77/0.95 (* end of lemma zenon_L350_ *) % 0.77/0.95 assert (zenon_L351_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H176 zenon_Hef zenon_H71 zenon_H6f zenon_H6d zenon_H11c zenon_H117 zenon_H283 zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_Haf zenon_He6 zenon_H89 zenon_H5b zenon_H268 zenon_Hda zenon_H25f zenon_H25e zenon_H25d zenon_Hd2 zenon_H1fc zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H219 zenon_Hb7 zenon_H4e zenon_H65 zenon_Hb6. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L348_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_L25_); trivial. % 0.77/0.95 apply (zenon_L350_); trivial. % 0.77/0.95 apply (zenon_L338_); trivial. % 0.77/0.95 (* end of lemma zenon_L351_ *) % 0.77/0.95 assert (zenon_L352_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49)))))) -> (~(hskp3)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H19d zenon_H186 zenon_Hd4 zenon_H185 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H10 zenon_H11d zenon_H193. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.77/0.95 apply (zenon_L231_); trivial. % 0.77/0.95 exact (zenon_H193 zenon_H194). % 0.77/0.95 (* end of lemma zenon_L352_ *) % 0.77/0.95 assert (zenon_L353_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (c2_1 (a753)) -> (c3_1 (a753)) -> (c0_1 (a753)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H205 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H19d zenon_H186 zenon_Hd4 zenon_H185 zenon_H7d zenon_H7e zenon_H7c zenon_H10 zenon_H193. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.95 apply (zenon_L352_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 apply (zenon_L182_); trivial. % 0.77/0.95 (* end of lemma zenon_L353_ *) % 0.77/0.95 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(hskp3)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H85 zenon_H288 zenon_H193 zenon_H185 zenon_H186 zenon_H19d zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H205 zenon_H13e zenon_H13d zenon_H13c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.77/0.95 apply (zenon_L353_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.77/0.95 apply (zenon_L87_); trivial. % 0.77/0.95 apply (zenon_L37_); trivial. % 0.77/0.95 (* end of lemma zenon_L354_ *) % 0.77/0.95 assert (zenon_L355_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H89 zenon_H288 zenon_H13e zenon_H13d zenon_H13c zenon_H19d zenon_H193 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H186 zenon_H185 zenon_H205 zenon_H75 zenon_H1 zenon_H79. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 apply (zenon_L354_); trivial. % 0.77/0.95 (* end of lemma zenon_L355_ *) % 0.77/0.95 assert (zenon_L356_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a684))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14d zenon_Hb7 zenon_Hc7 zenon_H43 zenon_H187 zenon_H79 zenon_H1 zenon_H205 zenon_H185 zenon_H186 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H193 zenon_H19d zenon_H288 zenon_H89. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L355_); trivial. % 0.77/0.95 apply (zenon_L309_); trivial. % 0.77/0.95 (* end of lemma zenon_L356_ *) % 0.77/0.95 assert (zenon_L357_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H43 zenon_H187 zenon_H186 zenon_H185 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5 zenon_H1 zenon_H79 zenon_H19d zenon_H193 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H205 zenon_Hb7 zenon_H288 zenon_H150. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 apply (zenon_L309_); trivial. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_L356_); trivial. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 (* end of lemma zenon_L357_ *) % 0.77/0.95 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H177 zenon_H216 zenon_H211 zenon_H104 zenon_H203 zenon_H150 zenon_H288 zenon_Hb7 zenon_H205 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H193 zenon_H19d zenon_H79 zenon_H1 zenon_H1a5 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L357_); trivial. % 0.77/0.95 apply (zenon_L189_); trivial. % 0.77/0.95 (* end of lemma zenon_L358_ *) % 0.77/0.95 assert (zenon_L359_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1be zenon_H1aa zenon_H216 zenon_H211 zenon_H104 zenon_H203 zenon_H150 zenon_H288 zenon_Hb7 zenon_H205 zenon_H193 zenon_H19d zenon_H79 zenon_H1 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Hb2 zenon_Hef zenon_Hb6 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_He6 zenon_Haf zenon_H1a5 zenon_H6d zenon_H6f zenon_H71 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H177. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L344_); trivial. % 0.77/0.95 apply (zenon_L162_); trivial. % 0.77/0.95 apply (zenon_L358_); trivial. % 0.77/0.95 (* end of lemma zenon_L359_ *) % 0.77/0.95 assert (zenon_L360_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a681))) -> (ndr1_0) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H167 zenon_H1c2 zenon_H10. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L156_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 (* end of lemma zenon_L360_ *) % 0.77/0.95 assert (zenon_L361_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_Hfe. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L171_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 (* end of lemma zenon_L361_ *) % 0.77/0.95 assert (zenon_L362_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> (forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H104 zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H7b zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.95 apply (zenon_L361_); trivial. % 0.77/0.95 exact (zenon_H1 zenon_H2). % 0.77/0.95 (* end of lemma zenon_L362_ *) % 0.77/0.95 assert (zenon_L363_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp28)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f2 zenon_H1 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H104 zenon_H75. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f3 ]. % 0.77/0.95 apply (zenon_L360_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H7b | zenon_intro zenon_H76 ]. % 0.77/0.95 apply (zenon_L362_); trivial. % 0.77/0.95 exact (zenon_H75 zenon_H76). % 0.77/0.95 (* end of lemma zenon_L363_ *) % 0.77/0.95 assert (zenon_L364_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H211 zenon_H20a zenon_H209 zenon_H208 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H10 zenon_Hd4 zenon_Hf1 zenon_Hf2 zenon_Hf9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H207 | zenon_intro zenon_H212 ]. % 0.77/0.95 apply (zenon_L186_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hfe | zenon_intro zenon_H7b ]. % 0.77/0.95 apply (zenon_L361_); trivial. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 (* end of lemma zenon_L364_ *) % 0.77/0.95 assert (zenon_L365_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H213 zenon_H104 zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H211 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.95 apply (zenon_L364_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.95 apply (zenon_L361_); trivial. % 0.77/0.95 exact (zenon_H1 zenon_H2). % 0.77/0.95 (* end of lemma zenon_L365_ *) % 0.77/0.95 assert (zenon_L366_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1be zenon_H177 zenon_H216 zenon_H211 zenon_H1f2 zenon_H104 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H205 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_Hb7 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L170_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L363_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.95 apply (zenon_L184_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.95 apply (zenon_L361_); trivial. % 0.77/0.95 exact (zenon_H1 zenon_H2). % 0.77/0.95 apply (zenon_L365_); trivial. % 0.77/0.95 (* end of lemma zenon_L366_ *) % 0.77/0.95 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_Hef zenon_H104 zenon_H102 zenon_Hd2 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H274 zenon_H283 zenon_H275 zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H203 zenon_H205 zenon_H211 zenon_H216 zenon_H1c1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L170_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L173_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.95 apply (zenon_L25_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L175_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.95 apply (zenon_L360_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_L178_); trivial. % 0.77/0.95 apply (zenon_L74_); trivial. % 0.77/0.95 apply (zenon_L76_); trivial. % 0.77/0.95 apply (zenon_L366_); trivial. % 0.77/0.95 apply (zenon_L169_); trivial. % 0.77/0.95 (* end of lemma zenon_L367_ *) % 0.77/0.95 assert (zenon_L368_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a681)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H120 zenon_H11f zenon_H11e zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H104 zenon_H1 zenon_H1ce zenon_H1f2. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L363_); trivial. % 0.77/0.95 apply (zenon_L235_); trivial. % 0.77/0.95 (* end of lemma zenon_L368_ *) % 0.77/0.95 assert (zenon_L369_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a681)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hb7 zenon_H205 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H104 zenon_H1 zenon_H1ce zenon_H1f2 zenon_H21e zenon_H21f zenon_H220 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L211_); trivial. % 0.77/0.95 apply (zenon_L368_); trivial. % 0.77/0.95 (* end of lemma zenon_L369_ *) % 0.77/0.95 assert (zenon_L370_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_H216 zenon_H104 zenon_H1 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H211 zenon_H21e zenon_H21f zenon_H220 zenon_H152 zenon_H154 zenon_H151 zenon_H203. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.95 apply (zenon_L200_); trivial. % 0.77/0.95 apply (zenon_L365_); trivial. % 0.77/0.95 (* end of lemma zenon_L370_ *) % 0.77/0.95 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H104 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H211 zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L170_); trivial. % 0.77/0.95 apply (zenon_L370_); trivial. % 0.77/0.95 (* end of lemma zenon_L371_ *) % 0.77/0.95 assert (zenon_L372_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H216 zenon_H211 zenon_H203 zenon_H66 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H1f2 zenon_H1ce zenon_H1 zenon_H104 zenon_H1c2 zenon_H1c4 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H205 zenon_Hb7 zenon_H177 zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.95 apply (zenon_L209_); trivial. % 0.77/0.95 apply (zenon_L369_); trivial. % 0.77/0.95 apply (zenon_L371_); trivial. % 0.77/0.95 (* end of lemma zenon_L372_ *) % 0.77/0.95 assert (zenon_L373_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> (forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H22f zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H7b zenon_H220 zenon_H21f zenon_H21e zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.95 apply (zenon_L192_); trivial. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 (* end of lemma zenon_L373_ *) % 0.77/0.95 assert (zenon_L374_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp28)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H21e zenon_H21f zenon_H220 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H22f zenon_H75. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f3 ]. % 0.77/0.95 apply (zenon_L360_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H7b | zenon_intro zenon_H76 ]. % 0.77/0.95 apply (zenon_L373_); trivial. % 0.77/0.95 exact (zenon_H75 zenon_H76). % 0.77/0.95 (* end of lemma zenon_L374_ *) % 0.77/0.95 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_Hb7 zenon_H205 zenon_H120 zenon_H11f zenon_H11e zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H220 zenon_H21f zenon_H21e zenon_H1f2. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L374_); trivial. % 0.77/0.95 apply (zenon_L235_); trivial. % 0.77/0.95 (* end of lemma zenon_L375_ *) % 0.77/0.95 assert (zenon_L376_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hb7 zenon_H205 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1f2 zenon_H21e zenon_H21f zenon_H220 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L211_); trivial. % 0.77/0.95 apply (zenon_L375_); trivial. % 0.77/0.95 (* end of lemma zenon_L376_ *) % 0.77/0.95 assert (zenon_L377_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H213 zenon_H22f zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H211 zenon_H220 zenon_H21f zenon_H21e zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.95 apply (zenon_L364_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.95 apply (zenon_L192_); trivial. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 (* end of lemma zenon_L377_ *) % 0.77/0.95 assert (zenon_L378_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H162 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H211 zenon_H21e zenon_H21f zenon_H220 zenon_H152 zenon_H154 zenon_H151 zenon_H203. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.95 apply (zenon_L200_); trivial. % 0.77/0.95 apply (zenon_L377_); trivial. % 0.77/0.95 (* end of lemma zenon_L378_ *) % 0.77/0.95 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1ac zenon_H177 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L211_); trivial. % 0.77/0.95 apply (zenon_L378_); trivial. % 0.77/0.95 (* end of lemma zenon_L379_ *) % 0.77/0.95 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> (c3_1 (a681)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H216 zenon_H1ce zenon_H211 zenon_H203 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H1f2 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_H1c2 zenon_H1c4 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H205 zenon_Hb7 zenon_H177 zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.95 apply (zenon_L209_); trivial. % 0.77/0.95 apply (zenon_L376_); trivial. % 0.77/0.95 apply (zenon_L379_); trivial. % 0.77/0.95 (* end of lemma zenon_L380_ *) % 0.77/0.95 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H217 zenon_H218 zenon_H22f zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H17a zenon_H177 zenon_Hb7 zenon_H205 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H104 zenon_H1f2 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H66 zenon_H203 zenon_H211 zenon_H216 zenon_H1ab zenon_H1aa. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_L372_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L303_); trivial. % 0.77/0.95 apply (zenon_L380_); trivial. % 0.77/0.95 (* end of lemma zenon_L381_ *) % 0.77/0.95 assert (zenon_L382_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H8a zenon_H10 zenon_H160. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H153 | zenon_intro zenon_H166 ]. % 0.77/0.95 apply (zenon_L161_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hfe | zenon_intro zenon_H161 ]. % 0.77/0.95 apply (zenon_L171_); trivial. % 0.77/0.95 exact (zenon_H160 zenon_H161). % 0.77/0.95 (* end of lemma zenon_L382_ *) % 0.77/0.95 assert (zenon_L383_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H160 zenon_H163. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L382_); trivial. % 0.77/0.95 apply (zenon_L335_); trivial. % 0.77/0.95 (* end of lemma zenon_L383_ *) % 0.77/0.95 assert (zenon_L384_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1e8 zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_Hb7 zenon_H205 zenon_H203 zenon_H104 zenon_H1f2 zenon_H211 zenon_H216 zenon_H177 zenon_H1aa. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L383_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L211_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L363_); trivial. % 0.77/0.95 apply (zenon_L230_); trivial. % 0.77/0.95 apply (zenon_L365_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 apply (zenon_L383_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.95 apply (zenon_L211_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L374_); trivial. % 0.77/0.95 apply (zenon_L294_); trivial. % 0.77/0.95 (* end of lemma zenon_L384_ *) % 0.77/0.95 assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H234 zenon_H21d zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_Hb7 zenon_H205 zenon_H1f2 zenon_H1aa zenon_H1ab zenon_H216 zenon_H104 zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_H5 zenon_H170 zenon_H17a zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H163 zenon_H177 zenon_H12b zenon_H129 zenon_H1e8 zenon_H218. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L228_); trivial. % 0.77/0.96 apply (zenon_L384_); trivial. % 0.77/0.96 (* end of lemma zenon_L385_ *) % 0.77/0.96 assert (zenon_L386_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a674)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a674))) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.96 do 0 intro. intros zenon_He6 zenon_H275 zenon_Hfe zenon_H274 zenon_H96 zenon_H95 zenon_H9e zenon_H10 zenon_Haf. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.96 apply (zenon_L329_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.96 apply (zenon_L254_); trivial. % 0.77/0.96 exact (zenon_Haf zenon_Hb0). % 0.77/0.96 (* end of lemma zenon_L386_ *) % 0.77/0.96 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a703))) -> (~(c2_1 (a703))) -> (c1_1 (a703)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb8 zenon_H11c zenon_H117 zenon_H6d zenon_H283 zenon_H108 zenon_He8 zenon_H208 zenon_H209 zenon_H20a zenon_He6 zenon_Haf zenon_H275 zenon_H274 zenon_H211 zenon_H89. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H207 | zenon_intro zenon_H212 ]. % 0.77/0.96 apply (zenon_L186_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hfe | zenon_intro zenon_H7b ]. % 0.77/0.96 apply (zenon_L386_); trivial. % 0.77/0.96 apply (zenon_L37_); trivial. % 0.77/0.96 apply (zenon_L336_); trivial. % 0.77/0.96 (* end of lemma zenon_L387_ *) % 0.77/0.96 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H213 zenon_Hb6 zenon_H11c zenon_H117 zenon_H283 zenon_H108 zenon_He8 zenon_He6 zenon_Haf zenon_H275 zenon_H274 zenon_H211 zenon_H89 zenon_H6d zenon_H6f zenon_H71. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_L387_); trivial. % 0.77/0.96 (* end of lemma zenon_L388_ *) % 0.77/0.96 assert (zenon_L389_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H216 zenon_Hb6 zenon_H11c zenon_H117 zenon_H283 zenon_H108 zenon_He8 zenon_He6 zenon_Haf zenon_H275 zenon_H274 zenon_H211 zenon_H89 zenon_H6d zenon_H6f zenon_H71 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_H127 zenon_H24f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.96 apply (zenon_L264_); trivial. % 0.77/0.96 apply (zenon_L388_); trivial. % 0.77/0.96 (* end of lemma zenon_L389_ *) % 0.77/0.96 assert (zenon_L390_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (c0_1 (a674)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1ab zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H193 zenon_H19d zenon_H240 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_H71 zenon_H6f zenon_H6d zenon_H89 zenon_H211 zenon_H274 zenon_H275 zenon_Haf zenon_He6 zenon_He8 zenon_H108 zenon_H283 zenon_H117 zenon_H11c zenon_Hb6 zenon_H216. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_L389_); trivial. % 0.77/0.96 apply (zenon_L280_); trivial. % 0.77/0.96 (* end of lemma zenon_L390_ *) % 0.77/0.96 assert (zenon_L391_ : (forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1e0 zenon_H10 zenon_H9e zenon_H8a zenon_H95 zenon_H96. % 0.77/0.96 generalize (zenon_H1e0 (a716)). zenon_intro zenon_H26a. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_Hf | zenon_intro zenon_H26b ]. % 0.77/0.96 exact (zenon_Hf zenon_H10). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H26c ]. % 0.77/0.96 exact (zenon_H9e zenon_Ha2). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H94 | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L41_); trivial. % 0.77/0.96 exact (zenon_H9b zenon_H96). % 0.77/0.96 (* end of lemma zenon_L391_ *) % 0.77/0.96 assert (zenon_L392_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a716))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a716)) -> (c2_1 (a716)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H238 zenon_H239 zenon_H237 zenon_H184 zenon_H10 zenon_H9e zenon_H8a zenon_H95 zenon_H96. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H153 | zenon_intro zenon_H1e9 ]. % 0.77/0.96 apply (zenon_L161_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1e0 ]. % 0.77/0.96 apply (zenon_L277_); trivial. % 0.77/0.96 apply (zenon_L391_); trivial. % 0.77/0.96 (* end of lemma zenon_L392_ *) % 0.77/0.96 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb8 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1e8 zenon_H238 zenon_H239 zenon_H237 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H43 zenon_H1a5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.77/0.96 apply (zenon_L392_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L42_); trivial. % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 apply (zenon_L335_); trivial. % 0.77/0.96 (* end of lemma zenon_L393_ *) % 0.77/0.96 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H89 zenon_H1f2 zenon_H79 zenon_H203 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H1 zenon_H66 zenon_H229 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_L326_); trivial. % 0.77/0.96 apply (zenon_L299_); trivial. % 0.77/0.96 (* end of lemma zenon_L394_ *) % 0.77/0.96 assert (zenon_L395_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (ndr1_0) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H89 zenon_H1f2 zenon_H79 zenon_H203 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H1 zenon_H66 zenon_H229 zenon_H171 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e zenon_H163 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H10 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L383_); trivial. % 0.77/0.96 apply (zenon_L394_); trivial. % 0.77/0.96 (* end of lemma zenon_L395_ *) % 0.77/0.96 assert (zenon_L396_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H217 zenon_H218 zenon_H129 zenon_H12b zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H4e zenon_H219 zenon_H239 zenon_H238 zenon_H237 zenon_H171 zenon_H229 zenon_H66 zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H203 zenon_H79 zenon_H1f2 zenon_H89 zenon_H22b zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L395_); trivial. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 (* end of lemma zenon_L396_ *) % 0.77/0.96 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c0_1 (a674)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H234 zenon_H21d zenon_H219 zenon_H171 zenon_H229 zenon_H66 zenon_H1f2 zenon_H22b zenon_H1c1 zenon_H1aa zenon_H104 zenon_H203 zenon_H150 zenon_H288 zenon_H79 zenon_Hc7 zenon_H5b zenon_H12f zenon_H4e zenon_Hb2 zenon_Hef zenon_Hd2 zenon_H1a5 zenon_H163 zenon_H177 zenon_H216 zenon_Hb6 zenon_H11c zenon_H117 zenon_H283 zenon_H108 zenon_He6 zenon_H275 zenon_H274 zenon_H211 zenon_H89 zenon_H6d zenon_H6f zenon_H71 zenon_H237 zenon_H238 zenon_H239 zenon_H24f zenon_H240 zenon_H19d zenon_H193 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H1ab zenon_H12b zenon_H129 zenon_H218. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_L390_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_L393_); trivial. % 0.77/0.96 apply (zenon_L162_); trivial. % 0.77/0.96 apply (zenon_L358_); trivial. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 apply (zenon_L396_); trivial. % 0.77/0.96 (* end of lemma zenon_L397_ *) % 0.77/0.96 assert (zenon_L398_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H234 zenon_H21d zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1f2 zenon_H1aa zenon_H1ab zenon_H216 zenon_H104 zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H146 zenon_H35 zenon_H229 zenon_Hb2 zenon_H5 zenon_H170 zenon_H17a zenon_H65 zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H163 zenon_H177 zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_H1e8 zenon_H205 zenon_Hb7 zenon_H218. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L296_); trivial. % 0.77/0.96 apply (zenon_L384_); trivial. % 0.77/0.96 (* end of lemma zenon_L398_ *) % 0.77/0.96 assert (zenon_L399_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a674))/\((c3_1 (a674))/\(~(c1_1 (a674))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp28)\/(hskp7))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((hskp11)\/((hskp21)\/(hskp2))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a675))/\((c3_1 (a675))/\(~(c2_1 (a675))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H28a zenon_H288 zenon_H258 zenon_H272 zenon_H22f zenon_H229 zenon_H22b zenon_H21d zenon_H1d5 zenon_H171 zenon_H1c1 zenon_H79 zenon_H1a5 zenon_Hc7 zenon_He6 zenon_H193 zenon_H19d zenon_H266 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H177 zenon_Hd2 zenon_H104 zenon_H102 zenon_H89 zenon_H86 zenon_H108 zenon_H117 zenon_H11c zenon_H65 zenon_H4e zenon_H146 zenon_H35 zenon_H5b zenon_H73 zenon_H6f zenon_H46 zenon_H4b zenon_H268 zenon_Had zenon_Hb7 zenon_Hef zenon_Hb2 zenon_H5 zenon_H170 zenon_H17a zenon_H1aa zenon_H1b8 zenon_Hdc zenon_H218 zenon_H1e8 zenon_H150 zenon_H14c zenon_Hb6 zenon_H145 zenon_H71 zenon_H7 zenon_H12f zenon_H163 zenon_H205 zenon_H216 zenon_H211 zenon_H203 zenon_H66 zenon_H1f2 zenon_H1fc zenon_H219 zenon_H12b zenon_H129 zenon_H1ab zenon_H233 zenon_H240 zenon_H24f zenon_H249 zenon_Hbb zenon_H28b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H270 | zenon_intro zenon_H28c ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L306_); trivial. % 0.77/0.96 apply (zenon_L307_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_L308_); trivial. % 0.77/0.96 apply (zenon_L153_); trivial. % 0.77/0.96 apply (zenon_L276_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_L92_); trivial. % 0.77/0.96 apply (zenon_L305_); trivial. % 0.77/0.96 apply (zenon_L243_); trivial. % 0.77/0.96 apply (zenon_L163_); trivial. % 0.77/0.96 apply (zenon_L306_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L304_); trivial. % 0.77/0.96 apply (zenon_L309_); trivial. % 0.77/0.96 apply (zenon_L162_); trivial. % 0.77/0.96 apply (zenon_L135_); trivial. % 0.77/0.96 apply (zenon_L313_); trivial. % 0.77/0.96 apply (zenon_L190_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L315_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L217_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L224_); trivial. % 0.77/0.96 apply (zenon_L319_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L252_); trivial. % 0.77/0.96 apply (zenon_L307_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_L308_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_L320_); trivial. % 0.77/0.96 apply (zenon_L275_); trivial. % 0.77/0.96 apply (zenon_L276_); trivial. % 0.77/0.96 apply (zenon_L322_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L328_); trivial. % 0.77/0.96 apply (zenon_L322_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H10. zenon_intro zenon_H290. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H283. zenon_intro zenon_H291. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H275. zenon_intro zenon_H274. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L346_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L348_); trivial. % 0.77/0.96 apply (zenon_L85_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.77/0.96 apply (zenon_L4_); trivial. % 0.77/0.96 apply (zenon_L349_); trivial. % 0.77/0.96 apply (zenon_L305_); trivial. % 0.77/0.96 apply (zenon_L351_); trivial. % 0.77/0.96 apply (zenon_L359_); trivial. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 apply (zenon_L367_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L315_); trivial. % 0.77/0.96 apply (zenon_L381_); trivial. % 0.77/0.96 apply (zenon_L385_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L346_); trivial. % 0.77/0.96 apply (zenon_L397_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L328_); trivial. % 0.77/0.96 apply (zenon_L398_); trivial. % 0.77/0.96 (* end of lemma zenon_L399_ *) % 0.77/0.96 assert (zenon_L400_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H167 zenon_H10 zenon_H292 zenon_H293 zenon_H294. % 0.77/0.96 generalize (zenon_H167 (a671)). zenon_intro zenon_H295. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_Hf | zenon_intro zenon_H296 ]. % 0.77/0.96 exact (zenon_Hf zenon_H10). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.77/0.96 exact (zenon_H292 zenon_H298). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 0.77/0.96 exact (zenon_H293 zenon_H29a). % 0.77/0.96 exact (zenon_H299 zenon_H294). % 0.77/0.96 (* end of lemma zenon_L400_ *) % 0.77/0.96 assert (zenon_L401_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d5 zenon_H294 zenon_H293 zenon_H292 zenon_H10 zenon_H6d zenon_H11. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1d6 ]. % 0.77/0.96 apply (zenon_L400_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H6e | zenon_intro zenon_H12 ]. % 0.77/0.96 exact (zenon_H6d zenon_H6e). % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 (* end of lemma zenon_L401_ *) % 0.77/0.96 assert (zenon_L402_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp2)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H170 zenon_H294 zenon_H293 zenon_H292 zenon_H10 zenon_Haf zenon_H5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H167 | zenon_intro zenon_H172 ]. % 0.77/0.96 apply (zenon_L400_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H6 ]. % 0.77/0.96 exact (zenon_Haf zenon_Hb0). % 0.77/0.96 exact (zenon_H5 zenon_H6). % 0.77/0.96 (* end of lemma zenon_L402_ *) % 0.77/0.96 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp28)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H85 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H75. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f3 ]. % 0.77/0.96 apply (zenon_L400_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H7b | zenon_intro zenon_H76 ]. % 0.77/0.96 apply (zenon_L37_); trivial. % 0.77/0.96 exact (zenon_H75 zenon_H76). % 0.77/0.96 (* end of lemma zenon_L403_ *) % 0.77/0.96 assert (zenon_L404_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H89 zenon_H1f2 zenon_H75 zenon_H294 zenon_H293 zenon_H292 zenon_H106 zenon_He8 zenon_H108. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_L403_); trivial. % 0.77/0.96 (* end of lemma zenon_L404_ *) % 0.77/0.96 assert (zenon_L405_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H108 zenon_He8 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_L170_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L66_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.96 apply (zenon_L25_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L404_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.96 apply (zenon_L400_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_L178_); trivial. % 0.77/0.96 apply (zenon_L74_); trivial. % 0.77/0.96 apply (zenon_L76_); trivial. % 0.77/0.96 (* end of lemma zenon_L405_ *) % 0.77/0.96 assert (zenon_L406_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H75 zenon_H1 zenon_H79. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 apply (zenon_L403_); trivial. % 0.77/0.96 (* end of lemma zenon_L406_ *) % 0.77/0.96 assert (zenon_L407_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1be zenon_H177 zenon_H216 zenon_H22b zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H79 zenon_H205 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H104 zenon_Hb7 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_L170_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L406_); trivial. % 0.77/0.96 apply (zenon_L185_); trivial. % 0.77/0.96 apply (zenon_L215_); trivial. % 0.77/0.96 (* end of lemma zenon_L407_ *) % 0.77/0.96 assert (zenon_L408_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1c1 zenon_H216 zenon_H22b zenon_H79 zenon_H205 zenon_H203 zenon_H66 zenon_H1 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H65 zenon_H4e zenon_H11c zenon_H6d zenon_H117 zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H108 zenon_H1fc zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H219 zenon_Hb7 zenon_H5b zenon_H102 zenon_H104 zenon_Hd2 zenon_Hef zenon_H177. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_L405_); trivial. % 0.77/0.96 apply (zenon_L407_); trivial. % 0.77/0.96 (* end of lemma zenon_L408_ *) % 0.77/0.96 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H108 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H203 zenon_H205 zenon_H79 zenon_H22b zenon_H216 zenon_H1c1. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L408_); trivial. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 (* end of lemma zenon_L409_ *) % 0.77/0.96 assert (zenon_L410_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H233 zenon_H21d zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1fc zenon_H108 zenon_H1f2 zenon_H89 zenon_H117 zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H203 zenon_H205 zenon_H79 zenon_H22b zenon_H216 zenon_H1c1 zenon_H5 zenon_H170 zenon_H10 zenon_H292 zenon_H293 zenon_H294 zenon_H6d zenon_H1d5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L401_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L402_); trivial. % 0.77/0.96 apply (zenon_L409_); trivial. % 0.77/0.96 (* end of lemma zenon_L410_ *) % 0.77/0.96 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H176 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L404_); trivial. % 0.77/0.96 apply (zenon_L235_); trivial. % 0.77/0.96 apply (zenon_L138_); trivial. % 0.77/0.96 (* end of lemma zenon_L411_ *) % 0.77/0.96 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H22f zenon_H211 zenon_H203 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H108 zenon_He8 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H17a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.96 apply (zenon_L209_); trivial. % 0.77/0.96 apply (zenon_L411_); trivial. % 0.77/0.96 apply (zenon_L223_); trivial. % 0.77/0.96 (* end of lemma zenon_L412_ *) % 0.77/0.96 assert (zenon_L413_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp5))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hdc zenon_Hda zenon_H1ab zenon_H177 zenon_H163 zenon_H6f zenon_H73 zenon_H1a2 zenon_H22d zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H1b8 zenon_H11c zenon_H4e zenon_H129 zenon_H12b zenon_H17a zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H229 zenon_H146 zenon_H1a5 zenon_H203 zenon_H211 zenon_H22f zenon_H216 zenon_H1aa. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L219_); trivial. % 0.77/0.96 apply (zenon_L412_); trivial. % 0.77/0.96 apply (zenon_L153_); trivial. % 0.77/0.96 (* end of lemma zenon_L413_ *) % 0.77/0.96 assert (zenon_L414_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H162 zenon_H216 zenon_H104 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H22b zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H1 zenon_H79 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H220 zenon_H21f zenon_H21e zenon_H205 zenon_Hb7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L406_); trivial. % 0.77/0.96 apply (zenon_L230_); trivial. % 0.77/0.96 apply (zenon_L215_); trivial. % 0.77/0.96 (* end of lemma zenon_L414_ *) % 0.77/0.96 assert (zenon_L415_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H79 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H220 zenon_H21f zenon_H21e zenon_H205 zenon_Hb7 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_L170_); trivial. % 0.77/0.96 apply (zenon_L414_); trivial. % 0.77/0.96 (* end of lemma zenon_L415_ *) % 0.77/0.96 assert (zenon_L416_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H66 zenon_Hb7 zenon_H205 zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H79 zenon_H1f2 zenon_H89 zenon_H22b zenon_H104 zenon_H216 zenon_H177 zenon_H292 zenon_H293 zenon_H294 zenon_H5 zenon_H170. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L402_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L415_); trivial. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 (* end of lemma zenon_L416_ *) % 0.77/0.96 assert (zenon_L417_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> (ndr1_0) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H21d zenon_H1ab zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H256 zenon_H171 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H216 zenon_H10 zenon_H292 zenon_H293 zenon_H294 zenon_H5 zenon_H170. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L402_); trivial. % 0.77/0.96 apply (zenon_L293_); trivial. % 0.77/0.96 (* end of lemma zenon_L417_ *) % 0.77/0.96 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a675))/\((c3_1 (a675))/\(~(c2_1 (a675)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H28d zenon_H258 zenon_H24 zenon_H16 zenon_H13 zenon_H171 zenon_H256 zenon_H24f zenon_H1d5 zenon_H294 zenon_H293 zenon_H292 zenon_H170 zenon_H5 zenon_H1c1 zenon_H216 zenon_H22b zenon_H79 zenon_H205 zenon_H203 zenon_H66 zenon_H65 zenon_H4e zenon_H11c zenon_H117 zenon_H89 zenon_H1f2 zenon_H108 zenon_H1fc zenon_H219 zenon_Hb7 zenon_H5b zenon_H102 zenon_H104 zenon_Hd2 zenon_Hef zenon_H177 zenon_H12b zenon_H129 zenon_H1e8 zenon_H1ab zenon_H218 zenon_H21d zenon_H233. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_L410_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L417_); trivial. % 0.77/0.96 apply (zenon_L416_); trivial. % 0.77/0.96 (* end of lemma zenon_L418_ *) % 0.77/0.96 assert (zenon_L419_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> (ndr1_0) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H21d zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H11c zenon_H1b8 zenon_H108 zenon_H22f zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H17a zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H1a5 zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa zenon_H10 zenon_H292 zenon_H293 zenon_H294 zenon_H5 zenon_H170. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L402_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L324_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L412_); trivial. % 0.77/0.96 apply (zenon_L153_); trivial. % 0.77/0.96 (* end of lemma zenon_L419_ *) % 0.77/0.96 assert (zenon_L420_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H4a zenon_H219 zenon_H294 zenon_H293 zenon_H292 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.96 apply (zenon_L400_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_L239_); trivial. % 0.77/0.96 (* end of lemma zenon_L420_ *) % 0.77/0.96 assert (zenon_L421_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H4e zenon_H219 zenon_H239 zenon_H238 zenon_H237 zenon_H294 zenon_H293 zenon_H292 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.96 apply (zenon_L208_); trivial. % 0.77/0.96 apply (zenon_L420_); trivial. % 0.77/0.96 (* end of lemma zenon_L421_ *) % 0.77/0.96 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66 zenon_H229 zenon_H292 zenon_H293 zenon_H294 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_L421_); trivial. % 0.77/0.96 apply (zenon_L216_); trivial. % 0.77/0.96 (* end of lemma zenon_L422_ *) % 0.77/0.96 assert (zenon_L423_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H22b zenon_H21e zenon_H21f zenon_H220 zenon_H203 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66 zenon_H229 zenon_H292 zenon_H293 zenon_H294 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L422_); trivial. % 0.77/0.96 (* end of lemma zenon_L423_ *) % 0.77/0.96 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H229 zenon_H292 zenon_H293 zenon_H294 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.96 apply (zenon_L421_); trivial. % 0.77/0.96 apply (zenon_L223_); trivial. % 0.77/0.96 (* end of lemma zenon_L424_ *) % 0.77/0.96 assert (zenon_L425_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> (ndr1_0) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H21d zenon_H218 zenon_H22f zenon_H211 zenon_H1a5 zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H4e zenon_H219 zenon_H239 zenon_H238 zenon_H237 zenon_H229 zenon_H66 zenon_H203 zenon_H220 zenon_H21f zenon_H21e zenon_H22b zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa zenon_H10 zenon_H292 zenon_H293 zenon_H294 zenon_H5 zenon_H170. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.96 apply (zenon_L402_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.96 apply (zenon_L423_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.96 apply (zenon_L303_); trivial. % 0.77/0.96 apply (zenon_L424_); trivial. % 0.77/0.96 (* end of lemma zenon_L425_ *) % 0.77/0.96 assert (zenon_L426_ : ((ndr1_0)/\((~(c0_1 (a673)))/\((~(c2_1 (a673)))/\(~(c3_1 (a673)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a675))/\((c3_1 (a675))/\(~(c2_1 (a675))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H29b zenon_H28b zenon_H233 zenon_H21d zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1fc zenon_H108 zenon_H1f2 zenon_H89 zenon_H117 zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H203 zenon_H205 zenon_H79 zenon_H22b zenon_H216 zenon_H1c1 zenon_H5 zenon_H170 zenon_H292 zenon_H293 zenon_H294 zenon_H1d5 zenon_Hdc zenon_H1b8 zenon_H22f zenon_H266 zenon_H17a zenon_H171 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H1a5 zenon_H211 zenon_H1aa zenon_H258. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H25d. zenon_intro zenon_H29d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_L410_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L419_); trivial. % 0.77/0.96 apply (zenon_L416_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.96 apply (zenon_L410_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.96 apply (zenon_L425_); trivial. % 0.77/0.96 apply (zenon_L416_); trivial. % 0.77/0.96 (* end of lemma zenon_L426_ *) % 0.77/0.96 assert (zenon_L427_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a670))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hbd zenon_H10 zenon_H29e zenon_H5d zenon_H29f zenon_H2a0. % 0.77/0.96 generalize (zenon_Hbd (a670)). zenon_intro zenon_H2a1. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a2 ]. % 0.77/0.96 exact (zenon_Hf zenon_H10). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 0.77/0.96 exact (zenon_H29e zenon_H2a4). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2a5 ]. % 0.77/0.96 generalize (zenon_H5d (a670)). zenon_intro zenon_H2a7. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a8 ]. % 0.77/0.96 exact (zenon_Hf zenon_H10). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 0.77/0.96 exact (zenon_H29f zenon_H2aa). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2a5 ]. % 0.77/0.96 exact (zenon_H2ab zenon_H2a6). % 0.77/0.96 exact (zenon_H2a5 zenon_H2a0). % 0.77/0.96 exact (zenon_H2a5 zenon_H2a0). % 0.77/0.96 (* end of lemma zenon_L427_ *) % 0.77/0.96 assert (zenon_L428_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c0_1 (a753)) -> (c3_1 (a753)) -> (c2_1 (a753)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H66 zenon_H4f zenon_H10 zenon_H7c zenon_H7e zenon_H7d zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H1 zenon_H43. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L427_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L116_); trivial. % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 (* end of lemma zenon_L428_ *) % 0.77/0.96 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H1 zenon_H43. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L427_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L43_); trivial. % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 (* end of lemma zenon_L429_ *) % 0.77/0.96 assert (zenon_L430_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb7 zenon_H79 zenon_H1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_H43 zenon_Hc7 zenon_Hb zenon_H59 zenon_H5b zenon_H89. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ]. % 0.77/0.96 apply (zenon_L428_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 0.77/0.96 exact (zenon_Hb zenon_Hc). % 0.77/0.96 exact (zenon_H59 zenon_H5a). % 0.77/0.96 apply (zenon_L429_); trivial. % 0.77/0.96 (* end of lemma zenon_L430_ *) % 0.77/0.96 assert (zenon_L431_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H4e zenon_H12f zenon_H12d zenon_H89 zenon_H5b zenon_H59 zenon_Hc7 zenon_H43 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H1 zenon_H79 zenon_Hb7. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.96 apply (zenon_L430_); trivial. % 0.77/0.96 apply (zenon_L84_); trivial. % 0.77/0.96 (* end of lemma zenon_L431_ *) % 0.77/0.96 assert (zenon_L432_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hd4 zenon_H10 zenon_H29f zenon_H29e zenon_H2a0. % 0.77/0.96 generalize (zenon_Hd4 (a670)). zenon_intro zenon_H2ac. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H2ac); [ zenon_intro zenon_Hf | zenon_intro zenon_H2ad ]. % 0.77/0.96 exact (zenon_Hf zenon_H10). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2ae ]. % 0.77/0.96 exact (zenon_H29f zenon_H2aa). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a5 ]. % 0.77/0.96 exact (zenon_H29e zenon_H2a4). % 0.77/0.96 exact (zenon_H2a5 zenon_H2a0). % 0.77/0.96 (* end of lemma zenon_L432_ *) % 0.77/0.96 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H85 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H13e zenon_H13d zenon_H13c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.77/0.96 apply (zenon_L432_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.77/0.96 apply (zenon_L87_); trivial. % 0.77/0.96 apply (zenon_L37_); trivial. % 0.77/0.96 (* end of lemma zenon_L433_ *) % 0.77/0.96 assert (zenon_L434_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H89 zenon_H288 zenon_H13e zenon_H13d zenon_H13c zenon_H2a0 zenon_H29e zenon_H29f zenon_H75 zenon_H1 zenon_H79. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 apply (zenon_L433_); trivial. % 0.77/0.96 (* end of lemma zenon_L434_ *) % 0.77/0.96 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H14d zenon_Hb7 zenon_H66 zenon_H43 zenon_Hc7 zenon_H79 zenon_H1 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L434_); trivial. % 0.77/0.96 apply (zenon_L429_); trivial. % 0.77/0.96 (* end of lemma zenon_L435_ *) % 0.77/0.96 assert (zenon_L436_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H150 zenon_H288 zenon_Hb7 zenon_H79 zenon_H1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_H43 zenon_Hc7 zenon_H59 zenon_H5b zenon_H89 zenon_H12f zenon_H4e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.96 apply (zenon_L431_); trivial. % 0.77/0.96 apply (zenon_L435_); trivial. % 0.77/0.96 (* end of lemma zenon_L436_ *) % 0.77/0.96 assert (zenon_L437_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (~(c1_1 (a670))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.96 do 0 intro. intros zenon_He6 zenon_H2a0 zenon_H29f zenon_H5d zenon_H29e zenon_H8d zenon_H8c zenon_H37 zenon_H10 zenon_Haf. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.96 apply (zenon_L427_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.96 apply (zenon_L57_); trivial. % 0.77/0.96 exact (zenon_Haf zenon_Hb0). % 0.77/0.96 (* end of lemma zenon_L437_ *) % 0.77/0.96 assert (zenon_L438_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp10)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a710)) -> (c2_1 (a710)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H66 zenon_Haf zenon_H10 zenon_H37 zenon_H8c zenon_H8d zenon_H29e zenon_H29f zenon_H2a0 zenon_He6 zenon_H1 zenon_H43. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.77/0.96 apply (zenon_L437_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 (* end of lemma zenon_L438_ *) % 0.77/0.96 assert (zenon_L439_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp11)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H162 zenon_H104 zenon_H2a0 zenon_H29e zenon_H29f zenon_H1. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.96 apply (zenon_L432_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.96 apply (zenon_L64_); trivial. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 (* end of lemma zenon_L439_ *) % 0.77/0.96 assert (zenon_L440_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H177 zenon_H104 zenon_H150 zenon_H288 zenon_Hb7 zenon_H79 zenon_H1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Haf zenon_He6 zenon_He8 zenon_Heb zenon_Hef. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_L436_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.77/0.96 apply (zenon_L432_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H37 | zenon_intro zenon_He9 ]. % 0.77/0.96 apply (zenon_L438_); trivial. % 0.77/0.96 exact (zenon_He8 zenon_He9). % 0.77/0.96 apply (zenon_L439_); trivial. % 0.77/0.96 (* end of lemma zenon_L440_ *) % 0.77/0.96 assert (zenon_L441_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H177 zenon_H104 zenon_H150 zenon_H288 zenon_Hb7 zenon_H79 zenon_H1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Had zenon_H33 zenon_H86 zenon_H185 zenon_H186 zenon_H187 zenon_Haf zenon_He6 zenon_H193 zenon_H19d zenon_Hef. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_L436_); trivial. % 0.77/0.96 apply (zenon_L119_); trivial. % 0.77/0.96 apply (zenon_L439_); trivial. % 0.77/0.96 (* end of lemma zenon_L441_ *) % 0.77/0.96 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp10)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb8 zenon_H66 zenon_Haf zenon_H29e zenon_H29f zenon_H2a0 zenon_He6 zenon_H1 zenon_H43. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H6a ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.96 apply (zenon_L427_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.96 apply (zenon_L254_); trivial. % 0.77/0.96 exact (zenon_Haf zenon_Hb0). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2 | zenon_intro zenon_H44 ]. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 exact (zenon_H43 zenon_H44). % 0.77/0.96 (* end of lemma zenon_L442_ *) % 0.77/0.96 assert (zenon_L443_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp16)) -> (~(hskp11)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb6 zenon_H66 zenon_H43 zenon_H1 zenon_H29e zenon_H29f zenon_H2a0 zenon_Haf zenon_He6 zenon_H6d zenon_H6f zenon_H71. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_L442_); trivial. % 0.77/0.96 (* end of lemma zenon_L443_ *) % 0.77/0.96 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_H177 zenon_H104 zenon_H150 zenon_H288 zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_H79 zenon_H1 zenon_H1a5 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L132_); trivial. % 0.77/0.96 apply (zenon_L429_); trivial. % 0.77/0.96 apply (zenon_L84_); trivial. % 0.77/0.96 apply (zenon_L435_); trivial. % 0.77/0.96 apply (zenon_L102_); trivial. % 0.77/0.96 apply (zenon_L439_); trivial. % 0.77/0.96 (* end of lemma zenon_L444_ *) % 0.77/0.96 assert (zenon_L445_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H4e zenon_H12f zenon_H12d zenon_H89 zenon_H5b zenon_H59 zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.96 apply (zenon_L145_); trivial. % 0.77/0.96 apply (zenon_L84_); trivial. % 0.77/0.96 (* end of lemma zenon_L445_ *) % 0.77/0.96 assert (zenon_L446_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H89 zenon_H288 zenon_H13e zenon_H13d zenon_H13c zenon_H2a0 zenon_H29e zenon_H29f zenon_H106 zenon_He8 zenon_H108. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_L433_); trivial. % 0.77/0.96 (* end of lemma zenon_L446_ *) % 0.77/0.96 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H14d zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L446_); trivial. % 0.77/0.96 apply (zenon_L138_); trivial. % 0.77/0.96 (* end of lemma zenon_L447_ *) % 0.77/0.96 assert (zenon_L448_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H150 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H86 zenon_H59 zenon_H5b zenon_H89 zenon_H12f zenon_H4e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.96 apply (zenon_L445_); trivial. % 0.77/0.96 apply (zenon_L447_); trivial. % 0.77/0.96 (* end of lemma zenon_L448_ *) % 0.77/0.96 assert (zenon_L449_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1a7 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H150. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.96 apply (zenon_L448_); trivial. % 0.77/0.96 apply (zenon_L102_); trivial. % 0.77/0.96 (* end of lemma zenon_L449_ *) % 0.77/0.96 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H234 zenon_H21d zenon_H102 zenon_Hd2 zenon_H219 zenon_H1fc zenon_H108 zenon_H171 zenon_H1f2 zenon_H117 zenon_H11c zenon_H65 zenon_H1c1 zenon_H216 zenon_H211 zenon_H203 zenon_H19d zenon_H193 zenon_H205 zenon_H71 zenon_H6f zenon_H6d zenon_Hb6 zenon_Hef zenon_Heb zenon_He6 zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177 zenon_H12b zenon_H129 zenon_H1e8 zenon_H1ab zenon_H218. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.97 apply (zenon_L440_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_L443_); trivial. % 0.77/0.97 apply (zenon_L189_); trivial. % 0.77/0.97 apply (zenon_L169_); trivial. % 0.77/0.97 apply (zenon_L190_); trivial. % 0.77/0.97 (* end of lemma zenon_L450_ *) % 0.77/0.97 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1ed zenon_H22f zenon_H2a0 zenon_H29e zenon_H29f zenon_H220 zenon_H21f zenon_H21e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.97 apply (zenon_L432_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.97 apply (zenon_L192_); trivial. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 (* end of lemma zenon_L451_ *) % 0.77/0.97 assert (zenon_L452_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H104 zenon_H240 zenon_Haf zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H1 zenon_H66 zenon_Hb7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L240_); trivial. % 0.77/0.97 apply (zenon_L429_); trivial. % 0.77/0.97 apply (zenon_L439_); trivial. % 0.77/0.97 (* end of lemma zenon_L452_ *) % 0.77/0.97 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H85 zenon_H211 zenon_H20a zenon_H209 zenon_H208 zenon_Hf2 zenon_Hf9 zenon_Hf1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H207 | zenon_intro zenon_H212 ]. % 0.77/0.97 apply (zenon_L186_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hfe | zenon_intro zenon_H7b ]. % 0.77/0.97 apply (zenon_L64_); trivial. % 0.77/0.97 apply (zenon_L37_); trivial. % 0.77/0.97 (* end of lemma zenon_L453_ *) % 0.77/0.97 assert (zenon_L454_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H89 zenon_H211 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H20a zenon_H209 zenon_H208 zenon_H106 zenon_He8 zenon_H108. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.97 apply (zenon_L68_); trivial. % 0.77/0.97 apply (zenon_L453_); trivial. % 0.77/0.97 (* end of lemma zenon_L454_ *) % 0.77/0.97 assert (zenon_L455_ : ((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a702))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H213 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_Hf1 zenon_Hf9 zenon_Hf2 zenon_H211 zenon_H89. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L454_); trivial. % 0.77/0.97 apply (zenon_L138_); trivial. % 0.77/0.97 (* end of lemma zenon_L455_ *) % 0.77/0.97 assert (zenon_L456_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp10)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H19f zenon_He6 zenon_H151 zenon_H154 zenon_H152 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_Haf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.97 apply (zenon_L49_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.97 apply (zenon_L271_); trivial. % 0.77/0.97 exact (zenon_Haf zenon_Hb0). % 0.77/0.97 (* end of lemma zenon_L456_ *) % 0.77/0.97 assert (zenon_L457_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1a2 zenon_He6 zenon_Haf zenon_H152 zenon_H151 zenon_H154 zenon_H1e8 zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_H25 zenon_H4b zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H33 zenon_H35 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H4e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.77/0.97 apply (zenon_L140_); trivial. % 0.77/0.97 apply (zenon_L456_); trivial. % 0.77/0.97 (* end of lemma zenon_L457_ *) % 0.77/0.97 assert (zenon_L458_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a702)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c1_1 (a702))) -> (c2_1 (a700)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a700))) -> (ndr1_0) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hd2 zenon_Hf2 zenon_Hd4 zenon_Hf1 zenon_H120 zenon_H167 zenon_H11e zenon_H10. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.97 apply (zenon_L97_); trivial. % 0.77/0.97 apply (zenon_L72_); trivial. % 0.77/0.97 (* end of lemma zenon_L458_ *) % 0.77/0.97 assert (zenon_L459_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H205 zenon_H120 zenon_H11f zenon_H11e zenon_H238 zenon_H239 zenon_H237 zenon_Hd3 zenon_H10 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.97 apply (zenon_L78_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.97 apply (zenon_L277_); trivial. % 0.77/0.97 apply (zenon_L43_); trivial. % 0.77/0.97 (* end of lemma zenon_L459_ *) % 0.77/0.97 assert (zenon_L460_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (~(hskp5)) -> (~(hskp9)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (ndr1_0) -> (c1_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a678)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1fc zenon_H2a zenon_H29 zenon_H28 zenon_H13 zenon_H11 zenon_H154 zenon_H152 zenon_H151 zenon_H16 zenon_H10 zenon_Ha5 zenon_H1f4 zenon_Ha6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H27 | zenon_intro zenon_H1fd ]. % 0.77/0.97 apply (zenon_L13_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H153 | zenon_intro zenon_H37 ]. % 0.77/0.97 apply (zenon_L94_); trivial. % 0.77/0.97 apply (zenon_L177_); trivial. % 0.77/0.97 (* end of lemma zenon_L460_ *) % 0.77/0.97 assert (zenon_L461_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a762)) -> (~(c3_1 (a762))) -> (~(c0_1 (a762))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H249 zenon_H10d zenon_H10c zenon_H10b zenon_H184 zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.97 apply (zenon_L71_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.97 apply (zenon_L245_); trivial. % 0.77/0.97 apply (zenon_L239_); trivial. % 0.77/0.97 (* end of lemma zenon_L461_ *) % 0.77/0.97 assert (zenon_L462_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp8)) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H119 zenon_H22f zenon_H6d zenon_Hf1 zenon_Hf2 zenon_H117 zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.97 apply (zenon_L73_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.97 apply (zenon_L461_); trivial. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 (* end of lemma zenon_L462_ *) % 0.77/0.97 assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp10)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hb8 zenon_H22f zenon_H2a0 zenon_H29e zenon_H29f zenon_Haf zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.97 apply (zenon_L432_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.97 apply (zenon_L258_); trivial. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 (* end of lemma zenon_L463_ *) % 0.77/0.97 assert (zenon_L464_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1be zenon_Hb6 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Haf zenon_He6 zenon_H2a0 zenon_H29e zenon_H29f zenon_H6d zenon_H6f zenon_H71. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.97 apply (zenon_L32_); trivial. % 0.77/0.97 apply (zenon_L463_); trivial. % 0.77/0.97 (* end of lemma zenon_L464_ *) % 0.77/0.97 assert (zenon_L465_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H218 zenon_H22f zenon_H220 zenon_H21f zenon_H21e zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L452_); trivial. % 0.77/0.97 apply (zenon_L451_); trivial. % 0.77/0.97 (* end of lemma zenon_L465_ *) % 0.77/0.97 assert (zenon_L466_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H104 zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H1 zenon_H79 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_Hb7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L234_); trivial. % 0.77/0.97 apply (zenon_L429_); trivial. % 0.77/0.97 apply (zenon_L439_); trivial. % 0.77/0.97 (* end of lemma zenon_L466_ *) % 0.77/0.97 assert (zenon_L467_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H217 zenon_H218 zenon_H22f zenon_H220 zenon_H21f zenon_H21e zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L466_); trivial. % 0.77/0.97 apply (zenon_L451_); trivial. % 0.77/0.97 (* end of lemma zenon_L467_ *) % 0.77/0.97 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H259 zenon_H21d zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H177 zenon_H104 zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_Hb7 zenon_H22f zenon_H218. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.97 apply (zenon_L465_); trivial. % 0.77/0.97 apply (zenon_L467_); trivial. % 0.77/0.97 (* end of lemma zenon_L468_ *) % 0.77/0.97 assert (zenon_L469_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1c1 zenon_H1aa zenon_H1a5 zenon_Hb2 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266 zenon_Hef zenon_Heb zenon_He6 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H1 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.97 apply (zenon_L440_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.97 apply (zenon_L303_); trivial. % 0.77/0.97 apply (zenon_L444_); trivial. % 0.77/0.97 (* end of lemma zenon_L469_ *) % 0.77/0.97 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H85 zenon_H22f zenon_H237 zenon_H238 zenon_H239 zenon_H102 zenon_Hf2 zenon_Hf9 zenon_Hf1 zenon_H41 zenon_H288 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.97 apply (zenon_L65_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.77/0.97 apply (zenon_L65_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.77/0.97 apply (zenon_L245_); trivial. % 0.77/0.97 apply (zenon_L37_); trivial. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 (* end of lemma zenon_L470_ *) % 0.77/0.97 assert (zenon_L471_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> (~(hskp23)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H89 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H237 zenon_H238 zenon_H239 zenon_H288 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H41 zenon_H102 zenon_H106 zenon_He8 zenon_H108. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.97 apply (zenon_L68_); trivial. % 0.77/0.97 apply (zenon_L470_); trivial. % 0.77/0.97 (* end of lemma zenon_L471_ *) % 0.77/0.97 assert (zenon_L472_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (c2_1 (a702)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H65 zenon_H4e zenon_H12f zenon_H12d zenon_H59 zenon_H5b zenon_H89 zenon_H22f zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H237 zenon_H238 zenon_H239 zenon_H288 zenon_Hf1 zenon_Hf2 zenon_Hf9 zenon_H102 zenon_He8 zenon_H108 zenon_H117 zenon_H6d zenon_H249 zenon_H11c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L471_); trivial. % 0.77/0.97 apply (zenon_L462_); trivial. % 0.77/0.97 apply (zenon_L85_); trivial. % 0.77/0.97 (* end of lemma zenon_L472_ *) % 0.77/0.97 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1a7 zenon_H177 zenon_H65 zenon_H22f zenon_H102 zenon_H117 zenon_H6d zenon_H150 zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H11c zenon_H249 zenon_H237 zenon_H238 zenon_H239 zenon_H1a5 zenon_H108 zenon_He8 zenon_H86 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L248_); trivial. % 0.77/0.97 apply (zenon_L447_); trivial. % 0.77/0.97 apply (zenon_L102_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L472_); trivial. % 0.77/0.97 apply (zenon_L447_); trivial. % 0.77/0.97 apply (zenon_L102_); trivial. % 0.77/0.97 (* end of lemma zenon_L473_ *) % 0.77/0.97 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1ed zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H25d zenon_H25e zenon_H25f zenon_H270 zenon_H272 zenon_H216. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.97 apply (zenon_L320_); trivial. % 0.77/0.97 apply (zenon_L168_); trivial. % 0.77/0.97 (* end of lemma zenon_L474_ *) % 0.77/0.97 assert (zenon_L475_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H218 zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24f zenon_H25d zenon_H25e zenon_H25f zenon_H270 zenon_H272 zenon_H216 zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L452_); trivial. % 0.77/0.97 apply (zenon_L474_); trivial. % 0.77/0.97 (* end of lemma zenon_L475_ *) % 0.77/0.97 assert (zenon_L476_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H104 zenon_H150 zenon_H288 zenon_Hb7 zenon_H79 zenon_H1 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H5b zenon_H89 zenon_H12f zenon_H4e zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_Hef. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_L436_); trivial. % 0.77/0.97 apply (zenon_L338_); trivial. % 0.77/0.97 apply (zenon_L439_); trivial. % 0.77/0.97 (* end of lemma zenon_L476_ *) % 0.77/0.97 assert (zenon_L477_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp19)) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H4e zenon_H12f zenon_H59 zenon_H12d zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.97 apply (zenon_L208_); trivial. % 0.77/0.97 apply (zenon_L84_); trivial. % 0.77/0.97 (* end of lemma zenon_L477_ *) % 0.77/0.97 assert (zenon_L478_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H150 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H59 zenon_H12f zenon_H4e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L477_); trivial. % 0.77/0.97 apply (zenon_L447_); trivial. % 0.77/0.97 (* end of lemma zenon_L478_ *) % 0.77/0.97 assert (zenon_L479_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229 zenon_H89 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H150. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_L478_); trivial. % 0.77/0.97 apply (zenon_L102_); trivial. % 0.77/0.97 (* end of lemma zenon_L479_ *) % 0.77/0.97 assert (zenon_L480_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (c0_1 (a696)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H89 zenon_He6 zenon_Haf zenon_H152 zenon_H151 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H154 zenon_H1e8 zenon_H102 zenon_H41 zenon_H275 zenon_H274 zenon_H86 zenon_H106 zenon_He8 zenon_H108. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.97 apply (zenon_L68_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hbd | zenon_intro zenon_He7 ]. % 0.77/0.97 apply (zenon_L331_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hde | zenon_intro zenon_Hb0 ]. % 0.77/0.97 apply (zenon_L271_); trivial. % 0.77/0.97 exact (zenon_Haf zenon_Hb0). % 0.77/0.97 (* end of lemma zenon_L480_ *) % 0.77/0.97 assert (zenon_L481_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a696))) -> (c2_1 (a696)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (c0_1 (a696)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H65 zenon_H4e zenon_H12f zenon_H12d zenon_H59 zenon_H5b zenon_H89 zenon_He6 zenon_Haf zenon_H152 zenon_H151 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H154 zenon_H1e8 zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_He8 zenon_H108 zenon_H1b8 zenon_H11c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L480_); trivial. % 0.77/0.97 apply (zenon_L138_); trivial. % 0.77/0.97 apply (zenon_L85_); trivial. % 0.77/0.97 (* end of lemma zenon_L481_ *) % 0.77/0.97 assert (zenon_L482_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H14d zenon_H11c zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L446_); trivial. % 0.77/0.97 apply (zenon_L336_); trivial. % 0.77/0.97 (* end of lemma zenon_L482_ *) % 0.77/0.97 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1ac zenon_Hef zenon_Hd2 zenon_H65 zenon_H4e zenon_H12f zenon_H5b zenon_H89 zenon_He6 zenon_Haf zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_He8 zenon_H108 zenon_H1b8 zenon_H11c zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H283 zenon_H6d zenon_H117 zenon_H150. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L481_); trivial. % 0.77/0.97 apply (zenon_L482_); trivial. % 0.77/0.97 apply (zenon_L338_); trivial. % 0.77/0.97 (* end of lemma zenon_L483_ *) % 0.77/0.97 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c3_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_Hd2 zenon_H65 zenon_H5b zenon_He6 zenon_H1e8 zenon_H102 zenon_H275 zenon_H274 zenon_H86 zenon_H283 zenon_H6d zenon_H117 zenon_H150 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H229 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.97 apply (zenon_L479_); trivial. % 0.77/0.97 apply (zenon_L483_); trivial. % 0.77/0.97 (* end of lemma zenon_L484_ *) % 0.77/0.97 assert (zenon_L485_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hb6 zenon_H22f zenon_H6f zenon_H71 zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H229 zenon_H89 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H108 zenon_H1b8 zenon_H11c zenon_H150 zenon_H117 zenon_H6d zenon_H283 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_H1e8 zenon_He6 zenon_H5b zenon_H65 zenon_Hd2 zenon_H1ab zenon_H1aa. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.97 apply (zenon_L303_); trivial. % 0.77/0.97 apply (zenon_L484_); trivial. % 0.77/0.97 apply (zenon_L464_); trivial. % 0.77/0.97 (* end of lemma zenon_L485_ *) % 0.77/0.97 assert (zenon_L486_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H234 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H129 zenon_H12b zenon_Hef zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L476_); trivial. % 0.77/0.97 apply (zenon_L169_); trivial. % 0.77/0.97 (* end of lemma zenon_L486_ *) % 0.77/0.97 assert (zenon_L487_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H259 zenon_H218 zenon_H22f zenon_Hef zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L476_); trivial. % 0.77/0.97 apply (zenon_L451_); trivial. % 0.77/0.97 (* end of lemma zenon_L487_ *) % 0.77/0.97 assert (zenon_L488_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H104 zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H1 zenon_H79 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_Hb7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L406_); trivial. % 0.77/0.97 apply (zenon_L429_); trivial. % 0.77/0.97 apply (zenon_L439_); trivial. % 0.77/0.97 (* end of lemma zenon_L488_ *) % 0.77/0.97 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H259 zenon_H218 zenon_H22f zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H79 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L488_); trivial. % 0.77/0.97 apply (zenon_L451_); trivial. % 0.77/0.97 (* end of lemma zenon_L489_ *) % 0.77/0.97 assert (zenon_L490_ : (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79)))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2af zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2. % 0.77/0.97 generalize (zenon_H2af (a669)). zenon_intro zenon_H2b3. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2b3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b4 ]. % 0.77/0.97 exact (zenon_Hf zenon_H10). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2b5 ]. % 0.77/0.97 exact (zenon_H2b0 zenon_H2b6). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 0.77/0.97 exact (zenon_H2b1 zenon_H2b8). % 0.77/0.97 exact (zenon_H2b7 zenon_H2b2). % 0.77/0.97 (* end of lemma zenon_L490_ *) % 0.77/0.97 assert (zenon_L491_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp2)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H11 zenon_H5. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ba ]. % 0.77/0.97 apply (zenon_L490_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H12 | zenon_intro zenon_H6 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 exact (zenon_H5 zenon_H6). % 0.77/0.97 (* end of lemma zenon_L491_ *) % 0.77/0.97 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp19)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H45 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H59. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2af | zenon_intro zenon_H2bc ]. % 0.77/0.97 apply (zenon_L490_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H37 | zenon_intro zenon_H5a ]. % 0.77/0.97 apply (zenon_L17_); trivial. % 0.77/0.97 exact (zenon_H59 zenon_H5a). % 0.77/0.97 (* end of lemma zenon_L492_ *) % 0.77/0.97 assert (zenon_L493_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp0)) -> (~(hskp16)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H4b zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H6f zenon_H43 zenon_H73. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/0.97 apply (zenon_L33_); trivial. % 0.77/0.97 apply (zenon_L492_); trivial. % 0.77/0.97 (* end of lemma zenon_L493_ *) % 0.77/0.97 assert (zenon_L494_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp13)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H12d zenon_H160. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2af | zenon_intro zenon_H2be ]. % 0.77/0.97 apply (zenon_L490_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 0.77/0.97 exact (zenon_H12d zenon_H12e). % 0.77/0.97 exact (zenon_H160 zenon_H161). % 0.77/0.97 (* end of lemma zenon_L494_ *) % 0.77/0.97 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (~(c2_1 (a711))) -> (c0_1 (a711)) -> (c1_1 (a711)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H149 zenon_H145 zenon_H8d zenon_H8c zenon_H8b zenon_H13c zenon_H13d zenon_H13e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H10. zenon_intro zenon_H14a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H134. zenon_intro zenon_H14b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H8a | zenon_intro zenon_H147 ]. % 0.77/0.97 apply (zenon_L40_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H131 | zenon_intro zenon_H13b ]. % 0.77/0.97 apply (zenon_L86_); trivial. % 0.77/0.97 apply (zenon_L87_); trivial. % 0.77/0.97 (* end of lemma zenon_L495_ *) % 0.77/0.97 assert (zenon_L496_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H14d zenon_H14c zenon_H145 zenon_H8d zenon_H8c zenon_H8b zenon_H1 zenon_H5 zenon_H7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_L495_); trivial. % 0.77/0.97 (* end of lemma zenon_L496_ *) % 0.77/0.97 assert (zenon_L497_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (~(hskp11)) -> (~(hskp2)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((hskp29)\/((hskp0)\/(hskp16))) -> (~(hskp16)) -> (~(hskp0)) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hef zenon_H150 zenon_H14c zenon_H145 zenon_H1 zenon_H5 zenon_H7 zenon_H160 zenon_H2bd zenon_H73 zenon_H43 zenon_H6f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_L493_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L494_); trivial. % 0.77/0.97 apply (zenon_L496_); trivial. % 0.77/0.97 (* end of lemma zenon_L497_ *) % 0.77/0.97 assert (zenon_L498_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp0)) -> ((hskp29)\/((hskp0)\/(hskp16))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp11)\/((hskp21)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H6f zenon_H73 zenon_H2bd zenon_H160 zenon_H7 zenon_H5 zenon_H1 zenon_H145 zenon_H14c zenon_H150 zenon_Hef. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_L497_); trivial. % 0.77/0.97 apply (zenon_L162_); trivial. % 0.77/0.97 (* end of lemma zenon_L498_ *) % 0.77/0.97 assert (zenon_L499_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_H216 zenon_H211 zenon_H104 zenon_H203 zenon_H2bd zenon_H160 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H89 zenon_H288 zenon_H19d zenon_H193 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H186 zenon_H185 zenon_H205 zenon_H1 zenon_H79 zenon_H187 zenon_Hc7 zenon_Hb7 zenon_H150. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.97 apply (zenon_L494_); trivial. % 0.77/0.97 apply (zenon_L356_); trivial. % 0.77/0.97 apply (zenon_L189_); trivial. % 0.77/0.97 (* end of lemma zenon_L499_ *) % 0.77/0.97 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1be zenon_H1aa zenon_H1a5 zenon_H5b zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef zenon_H150 zenon_Hb7 zenon_Hc7 zenon_H79 zenon_H1 zenon_H205 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H193 zenon_H19d zenon_H288 zenon_H89 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H203 zenon_H104 zenon_H211 zenon_H216 zenon_H177. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.97 apply (zenon_L499_); trivial. % 0.77/0.97 apply (zenon_L358_); trivial. % 0.77/0.97 (* end of lemma zenon_L500_ *) % 0.77/0.97 assert (zenon_L501_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (c3_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c1_1 (a678)) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_Ha6 zenon_H1f4 zenon_Ha5 zenon_H10 zenon_H59. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2af | zenon_intro zenon_H2bc ]. % 0.77/0.97 apply (zenon_L490_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H37 | zenon_intro zenon_H5a ]. % 0.77/0.97 apply (zenon_L177_); trivial. % 0.77/0.97 exact (zenon_H59 zenon_H5a). % 0.77/0.97 (* end of lemma zenon_L501_ *) % 0.77/0.97 assert (zenon_L502_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp19)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(hskp26)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H59 zenon_H2bb zenon_H2a zenon_H29 zenon_H28 zenon_H108 zenon_He8 zenon_H106 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H1f2 zenon_H89. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L175_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.97 apply (zenon_L159_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.97 apply (zenon_L13_); trivial. % 0.77/0.97 apply (zenon_L501_); trivial. % 0.77/0.97 (* end of lemma zenon_L502_ *) % 0.77/0.97 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H4a zenon_H4b zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H33 zenon_H35. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/0.97 apply (zenon_L16_); trivial. % 0.77/0.97 apply (zenon_L492_); trivial. % 0.77/0.97 (* end of lemma zenon_L503_ *) % 0.77/0.97 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.97 apply (zenon_L25_); trivial. % 0.77/0.97 apply (zenon_L503_); trivial. % 0.77/0.97 (* end of lemma zenon_L504_ *) % 0.77/0.97 assert (zenon_L505_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H162 zenon_Hef zenon_Hd2 zenon_H104 zenon_H1 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e zenon_H65. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_L504_); trivial. % 0.77/0.97 apply (zenon_L76_); trivial. % 0.77/0.97 (* end of lemma zenon_L505_ *) % 0.77/0.97 assert (zenon_L506_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_H35 zenon_H33 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e zenon_H65 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_L170_); trivial. % 0.77/0.97 apply (zenon_L505_); trivial. % 0.77/0.97 (* end of lemma zenon_L506_ *) % 0.77/0.97 assert (zenon_L507_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c2_1 (a700)) -> (~(c3_1 (a700))) -> (~(c0_1 (a700))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (ndr1_0) -> (c0_1 (a678)) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H205 zenon_H120 zenon_H11f zenon_H11e zenon_H186 zenon_Hd4 zenon_H185 zenon_H10 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.77/0.97 apply (zenon_L78_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.77/0.97 apply (zenon_L179_); trivial. % 0.77/0.97 apply (zenon_L43_); trivial. % 0.77/0.97 (* end of lemma zenon_L507_ *) % 0.77/0.97 assert (zenon_L508_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hb7 zenon_H104 zenon_H185 zenon_H186 zenon_H205 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_L170_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L234_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.97 apply (zenon_L507_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L64_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L508_ *) % 0.77/0.97 assert (zenon_L509_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1c1 zenon_H17a zenon_H205 zenon_H79 zenon_H4b zenon_H35 zenon_H66 zenon_H1 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H65 zenon_H4e zenon_H11c zenon_H6d zenon_H117 zenon_H89 zenon_H1f2 zenon_H171 zenon_H108 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H5b zenon_H102 zenon_H104 zenon_Hd2 zenon_Hef zenon_H177. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.97 apply (zenon_L170_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.97 apply (zenon_L25_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L502_); trivial. % 0.77/0.97 apply (zenon_L74_); trivial. % 0.77/0.97 apply (zenon_L76_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.97 apply (zenon_L506_); trivial. % 0.77/0.97 apply (zenon_L508_); trivial. % 0.77/0.97 (* end of lemma zenon_L509_ *) % 0.77/0.97 assert (zenon_L510_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H217 zenon_H218 zenon_Hdc zenon_Hda zenon_H71 zenon_H6f zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1b8 zenon_Hb6 zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H35 zenon_H4b zenon_H79 zenon_H205 zenon_H17a zenon_H1c1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.97 apply (zenon_L509_); trivial. % 0.77/0.97 apply (zenon_L313_); trivial. % 0.77/0.97 (* end of lemma zenon_L510_ *) % 0.77/0.97 assert (zenon_L511_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H4e zenon_H4b zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H33 zenon_H35 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.97 apply (zenon_L208_); trivial. % 0.77/0.97 apply (zenon_L503_); trivial. % 0.77/0.97 (* end of lemma zenon_L511_ *) % 0.77/0.97 assert (zenon_L512_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hef zenon_Hb2 zenon_Haf zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H35 zenon_H33 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.97 apply (zenon_L511_); trivial. % 0.77/0.97 apply (zenon_L102_); trivial. % 0.77/0.97 (* end of lemma zenon_L512_ *) % 0.77/0.97 assert (zenon_L513_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H17a zenon_H170 zenon_H5 zenon_H4e zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H35 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229 zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.97 apply (zenon_L512_); trivial. % 0.77/0.97 apply (zenon_L108_); trivial. % 0.77/0.97 (* end of lemma zenon_L513_ *) % 0.77/0.97 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_Hef zenon_Hb2 zenon_Haf zenon_H229 zenon_H35 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e zenon_H5 zenon_H170 zenon_H17a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.97 apply (zenon_L513_); trivial. % 0.77/0.97 apply (zenon_L212_); trivial. % 0.77/0.97 (* end of lemma zenon_L514_ *) % 0.77/0.97 assert (zenon_L515_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp22)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2bf zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H3 zenon_H6b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2af | zenon_intro zenon_H2c0 ]. % 0.77/0.97 apply (zenon_L490_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H4 | zenon_intro zenon_H6c ]. % 0.77/0.97 exact (zenon_H3 zenon_H4). % 0.77/0.97 exact (zenon_H6b zenon_H6c). % 0.77/0.97 (* end of lemma zenon_L515_ *) % 0.77/0.97 assert (zenon_L516_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp21)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hb6 zenon_H1b8 zenon_He8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H3 zenon_H2bf. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.97 apply (zenon_L515_); trivial. % 0.77/0.97 apply (zenon_L312_); trivial. % 0.77/0.97 (* end of lemma zenon_L516_ *) % 0.77/0.97 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H14d zenon_H14c zenon_H145 zenon_H8d zenon_H8c zenon_H8b zenon_H2bf zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_He8 zenon_H1b8 zenon_Hb6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.77/0.97 apply (zenon_L516_); trivial. % 0.77/0.97 apply (zenon_L495_); trivial. % 0.77/0.97 (* end of lemma zenon_L517_ *) % 0.77/0.97 assert (zenon_L518_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hea zenon_H150 zenon_H14c zenon_H145 zenon_H2bf zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_He8 zenon_H1b8 zenon_Hb6 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L494_); trivial. % 0.77/0.98 apply (zenon_L517_); trivial. % 0.77/0.98 (* end of lemma zenon_L518_ *) % 0.77/0.98 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hef zenon_Hb2 zenon_Haf zenon_H229 zenon_H35 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e zenon_H5 zenon_H170 zenon_H17a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_L513_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 (* end of lemma zenon_L519_ *) % 0.77/0.98 assert (zenon_L520_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H17a zenon_Hb7 zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H66 zenon_H1 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_H65 zenon_H4e zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H35 zenon_H5b zenon_H102 zenon_H104 zenon_Hd2 zenon_Hef zenon_H177. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.98 apply (zenon_L506_); trivial. % 0.77/0.98 apply (zenon_L236_); trivial. % 0.77/0.98 (* end of lemma zenon_L520_ *) % 0.77/0.98 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (~(hskp13)) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(c2_1 (a711))) -> (c0_1 (a711)) -> (c1_1 (a711)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H149 zenon_H145 zenon_H160 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H13c zenon_H13d zenon_H13e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H10. zenon_intro zenon_H14a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H134. zenon_intro zenon_H14b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H8a | zenon_intro zenon_H147 ]. % 0.77/0.98 apply (zenon_L382_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H131 | zenon_intro zenon_H13b ]. % 0.77/0.98 apply (zenon_L86_); trivial. % 0.77/0.98 apply (zenon_L87_); trivial. % 0.77/0.98 (* end of lemma zenon_L521_ *) % 0.77/0.98 assert (zenon_L522_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hef zenon_H2bd zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_Hb6 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bf zenon_H163 zenon_H160 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H145 zenon_H14c zenon_H150. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L445_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.77/0.98 apply (zenon_L516_); trivial. % 0.77/0.98 apply (zenon_L521_); trivial. % 0.77/0.98 apply (zenon_L518_); trivial. % 0.77/0.98 (* end of lemma zenon_L522_ *) % 0.77/0.98 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4a zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_L502_); trivial. % 0.77/0.98 apply (zenon_L138_); trivial. % 0.77/0.98 (* end of lemma zenon_L523_ *) % 0.77/0.98 assert (zenon_L524_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L208_); trivial. % 0.77/0.98 apply (zenon_L523_); trivial. % 0.77/0.98 (* end of lemma zenon_L524_ *) % 0.77/0.98 assert (zenon_L525_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (ndr1_0) -> (c1_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a678)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H171 zenon_H8d zenon_H8c zenon_H8b zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H10 zenon_Ha5 zenon_H1f4 zenon_Ha6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H8a | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L40_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H5d | zenon_intro zenon_H37 ]. % 0.77/0.98 apply (zenon_L157_); trivial. % 0.77/0.98 apply (zenon_L177_); trivial. % 0.77/0.98 (* end of lemma zenon_L525_ *) % 0.77/0.98 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hb1 zenon_H219 zenon_H2a zenon_H29 zenon_H28 zenon_H171 zenon_H8d zenon_H8c zenon_H8b zenon_H1ce zenon_H1c4 zenon_H1c2. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.98 apply (zenon_L159_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.98 apply (zenon_L13_); trivial. % 0.77/0.98 apply (zenon_L525_); trivial. % 0.77/0.98 (* end of lemma zenon_L526_ *) % 0.77/0.98 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4a zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H8d zenon_H8c zenon_H8b zenon_H219 zenon_Hb7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L175_); trivial. % 0.77/0.98 apply (zenon_L526_); trivial. % 0.77/0.98 apply (zenon_L138_); trivial. % 0.77/0.98 (* end of lemma zenon_L527_ *) % 0.77/0.98 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hea zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H219 zenon_Hb7 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L208_); trivial. % 0.77/0.98 apply (zenon_L527_); trivial. % 0.77/0.98 (* end of lemma zenon_L528_ *) % 0.77/0.98 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H229 zenon_Hef. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.98 apply (zenon_L524_); trivial. % 0.77/0.98 apply (zenon_L528_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 (* end of lemma zenon_L529_ *) % 0.77/0.98 assert (zenon_L530_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hb8 zenon_H249 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H13e zenon_H13d zenon_H13c zenon_H237 zenon_H238 zenon_H239. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.98 apply (zenon_L311_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.98 apply (zenon_L87_); trivial. % 0.77/0.98 apply (zenon_L239_); trivial. % 0.77/0.98 (* end of lemma zenon_L530_ *) % 0.77/0.98 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H14d zenon_Hb6 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H6d zenon_H6f zenon_H71. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.98 apply (zenon_L32_); trivial. % 0.77/0.98 apply (zenon_L530_); trivial. % 0.77/0.98 (* end of lemma zenon_L531_ *) % 0.77/0.98 assert (zenon_L532_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(hskp8)) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H150 zenon_Hb6 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H6d zenon_H6f zenon_H71 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L494_); trivial. % 0.77/0.98 apply (zenon_L531_); trivial. % 0.77/0.98 (* end of lemma zenon_L532_ *) % 0.77/0.98 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H229 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_L326_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 (* end of lemma zenon_L533_ *) % 0.77/0.98 assert (zenon_L534_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1aa zenon_H1ab zenon_H229 zenon_H2bd zenon_H71 zenon_H6f zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_Hb6 zenon_H150 zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H35 zenon_H4b zenon_H79 zenon_H205 zenon_H17a zenon_H1c1. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.98 apply (zenon_L509_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_L532_); trivial. % 0.77/0.98 apply (zenon_L533_); trivial. % 0.77/0.98 (* end of lemma zenon_L534_ *) % 0.77/0.98 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H119 zenon_H249 zenon_H13e zenon_H13d zenon_H13c zenon_H237 zenon_H238 zenon_H239. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.98 apply (zenon_L71_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.98 apply (zenon_L87_); trivial. % 0.77/0.98 apply (zenon_L239_); trivial. % 0.77/0.98 (* end of lemma zenon_L535_ *) % 0.77/0.98 assert (zenon_L536_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H11c zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H13e zenon_H13d zenon_H13c zenon_H108 zenon_He8 zenon_H86 zenon_Hb zenon_H59 zenon_H5b zenon_H89. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_L144_); trivial. % 0.77/0.98 apply (zenon_L535_); trivial. % 0.77/0.98 (* end of lemma zenon_L536_ *) % 0.77/0.98 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a762)) -> (~(c3_1 (a762))) -> (~(c0_1 (a762))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hb1 zenon_H249 zenon_H10d zenon_H10c zenon_H10b zenon_H13e zenon_H13d zenon_H13c zenon_H1fc zenon_H2a zenon_H29 zenon_H28 zenon_H1d9 zenon_H1d8 zenon_H1d7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.98 apply (zenon_L71_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.98 apply (zenon_L87_); trivial. % 0.77/0.98 apply (zenon_L178_); trivial. % 0.77/0.98 (* end of lemma zenon_L537_ *) % 0.77/0.98 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4a zenon_H11c zenon_Hb7 zenon_H249 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H13e zenon_H13d zenon_H13c zenon_H79 zenon_H1 zenon_H35 zenon_H33 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_L70_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L110_); trivial. % 0.77/0.98 apply (zenon_L537_); trivial. % 0.77/0.98 (* end of lemma zenon_L538_ *) % 0.77/0.98 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H67 zenon_H4e zenon_H11c zenon_Hb7 zenon_H249 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H13e zenon_H13d zenon_H13c zenon_H79 zenon_H1 zenon_H35 zenon_H33 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b zenon_H59 zenon_H5b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L25_); trivial. % 0.77/0.98 apply (zenon_L538_); trivial. % 0.77/0.98 (* end of lemma zenon_L539_ *) % 0.77/0.98 assert (zenon_L540_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H1a5 zenon_Hef zenon_Hb2 zenon_Haf zenon_H229 zenon_H35 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H17a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.98 apply (zenon_L512_); trivial. % 0.77/0.98 apply (zenon_L285_); trivial. % 0.77/0.98 apply (zenon_L212_); trivial. % 0.77/0.98 (* end of lemma zenon_L540_ *) % 0.77/0.98 assert (zenon_L541_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H218 zenon_H1aa zenon_H203 zenon_H1a5 zenon_Hb2 zenon_H229 zenon_H2bb zenon_H17a zenon_H205 zenon_H220 zenon_H21f zenon_H21e zenon_Hef zenon_Had zenon_Haf zenon_H240 zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H4e zenon_H4b zenon_H46 zenon_H35 zenon_H89 zenon_H5b zenon_H86 zenon_H108 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H11c zenon_H79 zenon_H1fc zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hb7 zenon_H65 zenon_H150 zenon_H24f zenon_H211 zenon_H104 zenon_H216 zenon_H177 zenon_H19d zenon_H193 zenon_H1e8 zenon_H1ab zenon_H288 zenon_Hc7 zenon_H1c1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L494_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L536_); trivial. % 0.77/0.98 apply (zenon_L21_); trivial. % 0.77/0.98 apply (zenon_L539_); trivial. % 0.77/0.98 apply (zenon_L241_); trivial. % 0.77/0.98 apply (zenon_L283_); trivial. % 0.77/0.98 apply (zenon_L285_); trivial. % 0.77/0.98 apply (zenon_L280_); trivial. % 0.77/0.98 apply (zenon_L540_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_L499_); trivial. % 0.77/0.98 apply (zenon_L540_); trivial. % 0.77/0.98 apply (zenon_L295_); trivial. % 0.77/0.98 (* end of lemma zenon_L541_ *) % 0.77/0.98 assert (zenon_L542_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp21)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hb6 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H13e zenon_H13d zenon_H13c zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1e8 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H3 zenon_H2bf. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.77/0.98 apply (zenon_L515_); trivial. % 0.77/0.98 apply (zenon_L530_); trivial. % 0.77/0.98 (* end of lemma zenon_L542_ *) % 0.77/0.98 assert (zenon_L543_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H150 zenon_H14c zenon_H145 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H163 zenon_H2bf zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_Hb6 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L494_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.77/0.98 apply (zenon_L542_); trivial. % 0.77/0.98 apply (zenon_L521_); trivial. % 0.77/0.98 (* end of lemma zenon_L543_ *) % 0.77/0.98 assert (zenon_L544_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp2)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H233 zenon_H21d zenon_H218 zenon_Hdc zenon_Hda zenon_H71 zenon_H6f zenon_H1e8 zenon_H1b8 zenon_Hb6 zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H2bb zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H35 zenon_H4b zenon_H79 zenon_H205 zenon_H17a zenon_H1c1 zenon_H292 zenon_H293 zenon_H294 zenon_H170 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H5 zenon_H2b9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.98 apply (zenon_L491_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.98 apply (zenon_L402_); trivial. % 0.77/0.98 apply (zenon_L510_); trivial. % 0.77/0.98 (* end of lemma zenon_L544_ *) % 0.77/0.98 assert (zenon_L545_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_H203 zenon_H201 zenon_H1d9 zenon_H1d8 zenon_H220 zenon_H21f zenon_H21e zenon_H205 zenon_Hb7. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L404_); trivial. % 0.77/0.98 apply (zenon_L230_); trivial. % 0.77/0.98 apply (zenon_L138_); trivial. % 0.77/0.98 (* end of lemma zenon_L545_ *) % 0.77/0.98 assert (zenon_L546_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H162 zenon_H216 zenon_H211 zenon_Hb7 zenon_H205 zenon_H21e zenon_H21f zenon_H220 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H108 zenon_He8 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.77/0.98 apply (zenon_L545_); trivial. % 0.77/0.98 apply (zenon_L455_); trivial. % 0.77/0.98 (* end of lemma zenon_L546_ *) % 0.77/0.98 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1a7 zenon_H177 zenon_H216 zenon_H211 zenon_Hb7 zenon_H205 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H108 zenon_He8 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H21e zenon_H21f zenon_H220 zenon_H1a5. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.98 apply (zenon_L211_); trivial. % 0.77/0.98 apply (zenon_L546_); trivial. % 0.77/0.98 (* end of lemma zenon_L547_ *) % 0.77/0.98 assert (zenon_L548_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H24f zenon_H239 zenon_H238 zenon_H237 zenon_H25d zenon_H25e zenon_H25f zenon_H270 zenon_H272 zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1fc zenon_H108 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H203 zenon_H205 zenon_H79 zenon_H22b zenon_H216 zenon_H1c1. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.98 apply (zenon_L408_); trivial. % 0.77/0.98 apply (zenon_L474_); trivial. % 0.77/0.98 (* end of lemma zenon_L548_ *) % 0.77/0.98 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp19)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hb1 zenon_H219 zenon_H1c2 zenon_H1c4 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H2a zenon_H29 zenon_H28 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H59. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.77/0.98 apply (zenon_L360_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.77/0.98 apply (zenon_L13_); trivial. % 0.77/0.98 apply (zenon_L501_); trivial. % 0.77/0.98 (* end of lemma zenon_L549_ *) % 0.77/0.98 assert (zenon_L550_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp19)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a681)) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4a zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H59 zenon_H2bb zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H104 zenon_H1 zenon_H1ce zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H1f2. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L363_); trivial. % 0.77/0.98 apply (zenon_L549_); trivial. % 0.77/0.98 (* end of lemma zenon_L550_ *) % 0.77/0.98 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a681)) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H67 zenon_H4e zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H104 zenon_H1 zenon_H1ce zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H1f2 zenon_H59 zenon_H5b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L25_); trivial. % 0.77/0.98 apply (zenon_L550_); trivial. % 0.77/0.98 (* end of lemma zenon_L551_ *) % 0.77/0.98 assert (zenon_L552_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> (ndr1_0) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H177 zenon_Hef zenon_H104 zenon_H102 zenon_H274 zenon_H283 zenon_H275 zenon_Hd2 zenon_H5b zenon_H1f2 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H4e zenon_H65 zenon_H10 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H1 zenon_H66. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.98 apply (zenon_L170_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H8a | zenon_intro zenon_Hc9 ]. % 0.77/0.98 apply (zenon_L172_); trivial. % 0.77/0.98 apply (zenon_L335_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.98 apply (zenon_L64_); trivial. % 0.77/0.98 exact (zenon_H1 zenon_H2). % 0.77/0.98 apply (zenon_L551_); trivial. % 0.77/0.98 apply (zenon_L338_); trivial. % 0.77/0.98 (* end of lemma zenon_L552_ *) % 0.77/0.98 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4a zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L404_); trivial. % 0.77/0.98 apply (zenon_L549_); trivial. % 0.77/0.98 apply (zenon_L138_); trivial. % 0.77/0.98 (* end of lemma zenon_L553_ *) % 0.77/0.98 assert (zenon_L554_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H1c4 zenon_H1c2 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.98 apply (zenon_L208_); trivial. % 0.77/0.98 apply (zenon_L553_); trivial. % 0.77/0.98 (* end of lemma zenon_L554_ *) % 0.77/0.98 assert (zenon_L555_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H163 zenon_H229 zenon_H108 zenon_H292 zenon_H293 zenon_H294 zenon_H89 zenon_H1b8 zenon_H11c zenon_H1e8 zenon_H1ab zenon_H1aa zenon_H66 zenon_H65 zenon_H4e zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H1f2 zenon_H5b zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H102 zenon_H104 zenon_Hef zenon_H177. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.98 apply (zenon_L552_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_L383_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.98 apply (zenon_L554_); trivial. % 0.77/0.98 apply (zenon_L338_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 apply (zenon_L153_); trivial. % 0.77/0.98 (* end of lemma zenon_L555_ *) % 0.77/0.98 assert (zenon_L556_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp2)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H233 zenon_H21d zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H163 zenon_H229 zenon_H108 zenon_H89 zenon_H1b8 zenon_H11c zenon_H1e8 zenon_H1ab zenon_H1aa zenon_H66 zenon_H65 zenon_H4e zenon_Hb7 zenon_H219 zenon_H2bb zenon_H1f2 zenon_H5b zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H102 zenon_H104 zenon_Hef zenon_H177 zenon_H292 zenon_H293 zenon_H294 zenon_H170 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H5 zenon_H2b9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.98 apply (zenon_L491_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.98 apply (zenon_L402_); trivial. % 0.77/0.98 apply (zenon_L555_); trivial. % 0.77/0.98 (* end of lemma zenon_L556_ *) % 0.77/0.98 assert (zenon_L557_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1aa zenon_H1ab zenon_H1e8 zenon_H229 zenon_H237 zenon_H238 zenon_H239 zenon_H163 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H274 zenon_H283 zenon_H275 zenon_H177 zenon_Hef zenon_Hd2 zenon_H104 zenon_H102 zenon_H5b zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H108 zenon_H171 zenon_H1f2 zenon_H89 zenon_H117 zenon_H6d zenon_H11c zenon_H4e zenon_H65 zenon_H66 zenon_H35 zenon_H4b zenon_H79 zenon_H205 zenon_H17a zenon_H1c1. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.98 apply (zenon_L509_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_L383_); trivial. % 0.77/0.98 apply (zenon_L533_); trivial. % 0.77/0.98 (* end of lemma zenon_L557_ *) % 0.77/0.98 assert (zenon_L558_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H1e8 zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H163 zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_Hb7 zenon_H205 zenon_H203 zenon_H104 zenon_H1f2 zenon_H211 zenon_H216 zenon_H177 zenon_H1aa zenon_H292 zenon_H293 zenon_H294 zenon_H5 zenon_H170. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.98 apply (zenon_L402_); trivial. % 0.77/0.98 apply (zenon_L384_); trivial. % 0.77/0.98 (* end of lemma zenon_L558_ *) % 0.77/0.98 assert (zenon_L559_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp2)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H259 zenon_H233 zenon_H21d zenon_H218 zenon_H1e8 zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H163 zenon_H1a5 zenon_Hb7 zenon_H205 zenon_H203 zenon_H104 zenon_H1f2 zenon_H211 zenon_H216 zenon_H177 zenon_H1aa zenon_H292 zenon_H293 zenon_H294 zenon_H170 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H5 zenon_H2b9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.98 apply (zenon_L491_); trivial. % 0.77/0.98 apply (zenon_L558_); trivial. % 0.77/0.98 (* end of lemma zenon_L559_ *) % 0.77/0.98 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a674))/\((c3_1 (a674))/\(~(c1_1 (a674)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a675))/\((c3_1 (a675))/\(~(c2_1 (a675))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp10)\/(hskp2))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H28c zenon_H28b zenon_H258 zenon_H22f zenon_H1a5 zenon_H203 zenon_H211 zenon_H216 zenon_H1d5 zenon_H17a zenon_H205 zenon_H79 zenon_H4b zenon_H35 zenon_H117 zenon_H171 zenon_H2b9 zenon_H5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H170 zenon_H294 zenon_H293 zenon_H292 zenon_H177 zenon_Hef zenon_H104 zenon_H102 zenon_Hd2 zenon_H5b zenon_H1f2 zenon_H2bb zenon_H219 zenon_Hb7 zenon_H4e zenon_H65 zenon_H66 zenon_H1aa zenon_H1ab zenon_H1e8 zenon_H11c zenon_H1b8 zenon_H89 zenon_H108 zenon_H229 zenon_H163 zenon_Hdc zenon_H1c1 zenon_H218 zenon_H21d zenon_H233. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H10. zenon_intro zenon_H290. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H283. zenon_intro zenon_H291. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H275. zenon_intro zenon_H274. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.77/0.98 apply (zenon_L556_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.98 apply (zenon_L401_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.98 apply (zenon_L402_); trivial. % 0.77/0.98 apply (zenon_L557_); trivial. % 0.77/0.98 apply (zenon_L559_); trivial. % 0.77/0.98 (* end of lemma zenon_L560_ *) % 0.77/0.98 assert (zenon_L561_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H177 zenon_H104 zenon_H2bd zenon_H160 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H89 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H1 zenon_H79 zenon_Hc7 zenon_H66 zenon_Hb7 zenon_H150. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.98 apply (zenon_L494_); trivial. % 0.77/0.98 apply (zenon_L435_); trivial. % 0.77/0.98 apply (zenon_L439_); trivial. % 0.77/0.98 (* end of lemma zenon_L561_ *) % 0.77/0.98 assert (zenon_L562_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1be zenon_H1aa zenon_H1a5 zenon_H5b zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef zenon_H150 zenon_Hb7 zenon_H66 zenon_Hc7 zenon_H79 zenon_H1 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H104 zenon_H177. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.98 apply (zenon_L561_); trivial. % 0.77/0.98 apply (zenon_L444_); trivial. % 0.77/0.98 (* end of lemma zenon_L562_ *) % 0.77/0.98 assert (zenon_L563_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1c1 zenon_H1aa zenon_H1a5 zenon_Hb2 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_Hef zenon_Heb zenon_He6 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H1 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_L440_); trivial. % 0.77/0.99 apply (zenon_L562_); trivial. % 0.77/0.99 (* end of lemma zenon_L563_ *) % 0.77/0.99 assert (zenon_L564_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H150 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.99 apply (zenon_L494_); trivial. % 0.77/0.99 apply (zenon_L447_); trivial. % 0.77/0.99 (* end of lemma zenon_L564_ *) % 0.77/0.99 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H150 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H229 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_L479_); trivial. % 0.77/0.99 apply (zenon_L168_); trivial. % 0.77/0.99 (* end of lemma zenon_L565_ *) % 0.77/0.99 assert (zenon_L566_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H229 zenon_H12f zenon_H4e zenon_Hb7 zenon_H219 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H1f2 zenon_Hef zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H10 zenon_H89 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_H150. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.99 apply (zenon_L564_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.99 apply (zenon_L478_); trivial. % 0.77/0.99 apply (zenon_L528_); trivial. % 0.77/0.99 apply (zenon_L168_); trivial. % 0.77/0.99 (* end of lemma zenon_L566_ *) % 0.77/0.99 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hdc zenon_Hda zenon_H150 zenon_H11c zenon_H1b8 zenon_H108 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_Hef zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H219 zenon_Hb7 zenon_H4e zenon_H12f zenon_H229 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H1ab zenon_H1aa. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_L566_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 (* end of lemma zenon_L567_ *) % 0.77/0.99 assert (zenon_L568_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a7 zenon_H177 zenon_H104 zenon_H1 zenon_H2a0 zenon_H29e zenon_H29f zenon_H21e zenon_H21f zenon_H220 zenon_H1a5. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.99 apply (zenon_L211_); trivial. % 0.77/0.99 apply (zenon_L439_); trivial. % 0.77/0.99 (* end of lemma zenon_L568_ *) % 0.77/0.99 assert (zenon_L569_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1aa zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H150 zenon_Hb7 zenon_H66 zenon_Hc7 zenon_H79 zenon_H1 zenon_H29f zenon_H29e zenon_H2a0 zenon_H288 zenon_H89 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H104 zenon_H177. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.99 apply (zenon_L561_); trivial. % 0.77/0.99 apply (zenon_L568_); trivial. % 0.77/0.99 (* end of lemma zenon_L569_ *) % 0.77/0.99 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H259 zenon_H218 zenon_H22f zenon_H177 zenon_H104 zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H89 zenon_H288 zenon_H2a0 zenon_H29e zenon_H29f zenon_H79 zenon_Hc7 zenon_H66 zenon_Hb7 zenon_H150 zenon_H1a5 zenon_H1aa. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_L569_); trivial. % 0.77/0.99 apply (zenon_L451_); trivial. % 0.77/0.99 (* end of lemma zenon_L570_ *) % 0.77/0.99 assert (zenon_L571_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H258 zenon_H22f zenon_H21d zenon_H1d5 zenon_H171 zenon_H1c1 zenon_H1aa zenon_H1a5 zenon_Hb2 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_Hef zenon_Heb zenon_He6 zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150 zenon_H104 zenon_H177 zenon_H86 zenon_H108 zenon_H1b8 zenon_H11c zenon_Hda zenon_Hdc zenon_H218 zenon_H229 zenon_H1e8 zenon_H1ab zenon_H17a zenon_H205 zenon_H4b zenon_H35 zenon_H65 zenon_H117 zenon_H1f2 zenon_H2bb zenon_H219 zenon_H102 zenon_Hd2 zenon_H233. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_L563_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.99 apply (zenon_L564_); trivial. % 0.77/0.99 apply (zenon_L449_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 apply (zenon_L276_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_L563_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.99 apply (zenon_L564_); trivial. % 0.77/0.99 apply (zenon_L565_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_L509_); trivial. % 0.77/0.99 apply (zenon_L567_); trivial. % 0.77/0.99 apply (zenon_L570_); trivial. % 0.77/0.99 (* end of lemma zenon_L571_ *) % 0.77/0.99 assert (zenon_L572_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp0)) -> ((hskp22)\/((hskp8)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H218 zenon_H1c1 zenon_Hb6 zenon_He6 zenon_H6f zenon_H71 zenon_H150 zenon_H11c zenon_H1b8 zenon_H108 zenon_H288 zenon_H89 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_Hef zenon_Hb2 zenon_H4e zenon_H12f zenon_H5b zenon_H86 zenon_H1a5 zenon_H249 zenon_H6d zenon_H117 zenon_H102 zenon_H22f zenon_H65 zenon_H1aa zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H104 zenon_H177. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_L452_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/0.99 apply (zenon_L564_); trivial. % 0.77/0.99 apply (zenon_L473_); trivial. % 0.77/0.99 apply (zenon_L464_); trivial. % 0.77/0.99 (* end of lemma zenon_L572_ *) % 0.77/0.99 assert (zenon_L573_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((hskp22)\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H21d zenon_H1d5 zenon_H11 zenon_H171 zenon_H177 zenon_H104 zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_H10 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_Hb7 zenon_H1aa zenon_H65 zenon_H22f zenon_H102 zenon_H117 zenon_H6d zenon_H249 zenon_H1a5 zenon_H86 zenon_H5b zenon_H12f zenon_H4e zenon_Hb2 zenon_Hef zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H89 zenon_H288 zenon_H108 zenon_H1b8 zenon_H11c zenon_H150 zenon_H71 zenon_H6f zenon_He6 zenon_Hb6 zenon_H1c1 zenon_H218. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_L572_); trivial. % 0.77/0.99 apply (zenon_L276_); trivial. % 0.77/0.99 (* end of lemma zenon_L573_ *) % 0.77/0.99 assert (zenon_L574_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2c1 zenon_H10 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.77/0.99 generalize (zenon_H2c1 (a668)). zenon_intro zenon_H2c5. % 0.77/0.99 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c6 ]. % 0.77/0.99 exact (zenon_Hf zenon_H10). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c7 ]. % 0.77/0.99 exact (zenon_H2c2 zenon_H2c8). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.77/0.99 exact (zenon_H2c3 zenon_H2ca). % 0.77/0.99 exact (zenon_H2c9 zenon_H2c4). % 0.77/0.99 (* end of lemma zenon_L574_ *) % 0.77/0.99 assert (zenon_L575_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(hskp5)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H85 zenon_H2cb zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H13. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2cc ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H7b | zenon_intro zenon_H14 ]. % 0.77/0.99 apply (zenon_L37_); trivial. % 0.77/0.99 exact (zenon_H13 zenon_H14). % 0.77/0.99 (* end of lemma zenon_L575_ *) % 0.77/0.99 assert (zenon_L576_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (~(hskp15)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_Had zenon_H33 zenon_H79 zenon_H1 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H13 zenon_H2cb zenon_H89. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.99 apply (zenon_L36_); trivial. % 0.77/0.99 apply (zenon_L575_); trivial. % 0.77/0.99 apply (zenon_L118_); trivial. % 0.77/0.99 (* end of lemma zenon_L576_ *) % 0.77/0.99 assert (zenon_L577_ : ((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H19f zenon_Hef zenon_Heb zenon_He8 zenon_Haf zenon_He6 zenon_Hd2 zenon_Hda zenon_Hdc zenon_Hbb zenon_H11 zenon_H43 zenon_Hc7 zenon_Hb7. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.77/0.99 apply (zenon_L61_); trivial. % 0.77/0.99 (* end of lemma zenon_L577_ *) % 0.77/0.99 assert (zenon_L578_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(hskp10)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H176 zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Haf. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ce ]. % 0.77/0.99 apply (zenon_L78_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c1 | zenon_intro zenon_Hb0 ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 exact (zenon_Haf zenon_Hb0). % 0.77/0.99 (* end of lemma zenon_L578_ *) % 0.77/0.99 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp5)) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp11)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H162 zenon_H104 zenon_H13 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cb zenon_H1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2cc ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H7b | zenon_intro zenon_H14 ]. % 0.77/0.99 apply (zenon_L122_); trivial. % 0.77/0.99 exact (zenon_H13 zenon_H14). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/0.99 apply (zenon_L64_); trivial. % 0.77/0.99 exact (zenon_H1 zenon_H2). % 0.77/0.99 (* end of lemma zenon_L579_ *) % 0.77/0.99 assert (zenon_L580_ : (forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (c1_1 (a668)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H9d zenon_H10 zenon_H2c3 zenon_H10a zenon_H2c4. % 0.77/0.99 generalize (zenon_H9d (a668)). zenon_intro zenon_H2cf. % 0.77/0.99 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d0 ]. % 0.77/0.99 exact (zenon_Hf zenon_H10). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d1 ]. % 0.77/0.99 exact (zenon_H2c3 zenon_H2ca). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2c9 ]. % 0.77/0.99 generalize (zenon_H10a (a668)). zenon_intro zenon_H2d3. % 0.77/0.99 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d4 ]. % 0.77/0.99 exact (zenon_Hf zenon_H10). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2c7 ]. % 0.77/0.99 exact (zenon_H2d2 zenon_H2d5). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.77/0.99 exact (zenon_H2c3 zenon_H2ca). % 0.77/0.99 exact (zenon_H2c9 zenon_H2c4). % 0.77/0.99 exact (zenon_H2c9 zenon_H2c4). % 0.77/0.99 (* end of lemma zenon_L580_ *) % 0.77/0.99 assert (zenon_L581_ : ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp24)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H229 zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H127 zenon_Hb. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H9d | zenon_intro zenon_H22a ]. % 0.77/0.99 apply (zenon_L580_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H128 | zenon_intro zenon_Hc ]. % 0.77/0.99 exact (zenon_H127 zenon_H128). % 0.77/0.99 exact (zenon_Hb zenon_Hc). % 0.77/0.99 (* end of lemma zenon_L581_ *) % 0.77/0.99 assert (zenon_L582_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1b8 zenon_Hb zenon_H127 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_He8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H10a | zenon_intro zenon_H1b9 ]. % 0.77/0.99 apply (zenon_L581_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_He9 ]. % 0.77/0.99 apply (zenon_L137_); trivial. % 0.77/0.99 exact (zenon_He8 zenon_He9). % 0.77/0.99 (* end of lemma zenon_L582_ *) % 0.77/0.99 assert (zenon_L583_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H4e zenon_H11c zenon_H35 zenon_H33 zenon_H108 zenon_H86 zenon_H89 zenon_H4b zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_He8 zenon_H1b8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L582_); trivial. % 0.77/0.99 apply (zenon_L139_); trivial. % 0.77/0.99 (* end of lemma zenon_L583_ *) % 0.77/0.99 assert (zenon_L584_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H17a zenon_H2cd zenon_Haf zenon_H2c2 zenon_H1b8 zenon_He8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H11c zenon_H4e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L583_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 (* end of lemma zenon_L584_ *) % 0.77/0.99 assert (zenon_L585_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2cd zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H4f zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H10 zenon_Haf. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ce ]. % 0.77/0.99 apply (zenon_L231_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c1 | zenon_intro zenon_Hb0 ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 exact (zenon_Haf zenon_Hb0). % 0.77/0.99 (* end of lemma zenon_L585_ *) % 0.77/0.99 assert (zenon_L586_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp24)) -> (~(hskp19)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H5b zenon_Haf zenon_H10 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2cd zenon_Hb zenon_H59. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4f | zenon_intro zenon_H5c ]. % 0.77/0.99 apply (zenon_L585_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_Hc | zenon_intro zenon_H5a ]. % 0.77/0.99 exact (zenon_Hb zenon_Hc). % 0.77/0.99 exact (zenon_H59 zenon_H5a). % 0.77/0.99 (* end of lemma zenon_L586_ *) % 0.77/0.99 assert (zenon_L587_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H4e zenon_H12f zenon_H12d zenon_H2cd zenon_Haf zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H10 zenon_H59 zenon_H5b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L586_); trivial. % 0.77/0.99 apply (zenon_L84_); trivial. % 0.77/0.99 (* end of lemma zenon_L587_ *) % 0.77/0.99 assert (zenon_L588_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H150 zenon_H11c zenon_Hb7 zenon_H249 zenon_H1fc zenon_H79 zenon_H1 zenon_H35 zenon_H33 zenon_H108 zenon_He8 zenon_H86 zenon_H89 zenon_H4b zenon_H5b zenon_H59 zenon_H10 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Haf zenon_H2cd zenon_H12f zenon_H4e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.99 apply (zenon_L587_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L586_); trivial. % 0.77/0.99 apply (zenon_L538_); trivial. % 0.77/0.99 (* end of lemma zenon_L588_ *) % 0.77/0.99 assert (zenon_L589_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp3)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2cd zenon_H193 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_He6 zenon_H187 zenon_H186 zenon_H185 zenon_H8d zenon_H8c zenon_H37 zenon_H19d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H10 zenon_Haf. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ce ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.77/0.99 apply (zenon_L114_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.77/0.99 apply (zenon_L231_); trivial. % 0.77/0.99 exact (zenon_H193 zenon_H194). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c1 | zenon_intro zenon_Hb0 ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 exact (zenon_Haf zenon_Hb0). % 0.77/0.99 (* end of lemma zenon_L589_ *) % 0.77/0.99 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hea zenon_Hb7 zenon_H205 zenon_Hc7 zenon_H43 zenon_H79 zenon_H1 zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H193 zenon_H19d zenon_H86 zenon_H89. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/0.99 apply (zenon_L36_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H7b | zenon_intro zenon_H37 ]. % 0.77/0.99 apply (zenon_L37_); trivial. % 0.77/0.99 apply (zenon_L589_); trivial. % 0.77/0.99 apply (zenon_L309_); trivial. % 0.77/0.99 (* end of lemma zenon_L590_ *) % 0.77/0.99 assert (zenon_L591_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1be zenon_H177 zenon_H216 zenon_H211 zenon_H104 zenon_H203 zenon_H150 zenon_Hb7 zenon_Hc7 zenon_H79 zenon_H1 zenon_H205 zenon_H193 zenon_H19d zenon_H288 zenon_H89 zenon_H5b zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Haf zenon_H2cd zenon_H12f zenon_H4e zenon_H86 zenon_He6 zenon_Hef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.99 apply (zenon_L587_); trivial. % 0.77/0.99 apply (zenon_L356_); trivial. % 0.77/0.99 apply (zenon_L590_); trivial. % 0.77/0.99 apply (zenon_L189_); trivial. % 0.77/0.99 (* end of lemma zenon_L591_ *) % 0.77/0.99 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(hskp10)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1ed zenon_H2cd zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1e8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Haf. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ce ]. % 0.77/0.99 apply (zenon_L166_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c1 | zenon_intro zenon_Hb0 ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 exact (zenon_Haf zenon_Hb0). % 0.77/0.99 (* end of lemma zenon_L592_ *) % 0.77/0.99 assert (zenon_L593_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H176 zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_He8 zenon_H108 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_L175_); trivial. % 0.77/0.99 apply (zenon_L235_); trivial. % 0.77/0.99 apply (zenon_L138_); trivial. % 0.77/0.99 (* end of lemma zenon_L593_ *) % 0.77/0.99 assert (zenon_L594_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H17a zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H1b8 zenon_He8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H11c zenon_H4e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L583_); trivial. % 0.77/0.99 apply (zenon_L593_); trivial. % 0.77/0.99 (* end of lemma zenon_L594_ *) % 0.77/0.99 assert (zenon_L595_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> (~(hskp9)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H17a zenon_H1f2 zenon_H171 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H1b8 zenon_H229 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H11c zenon_H4e zenon_H203 zenon_H256 zenon_H11 zenon_H16 zenon_H24 zenon_H216 zenon_H1ab zenon_H66 zenon_H2cb zenon_H13 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H104 zenon_H177. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.99 apply (zenon_L170_); trivial. % 0.77/0.99 apply (zenon_L579_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_L594_); trivial. % 0.77/0.99 apply (zenon_L292_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 (* end of lemma zenon_L595_ *) % 0.77/0.99 assert (zenon_L596_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp3)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2cd zenon_H193 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H21e zenon_H21f zenon_H220 zenon_H19d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H10 zenon_Haf. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ce ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H184 | zenon_intro zenon_H19e ]. % 0.77/0.99 apply (zenon_L192_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H4f | zenon_intro zenon_H194 ]. % 0.77/0.99 apply (zenon_L231_); trivial. % 0.77/0.99 exact (zenon_H193 zenon_H194). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c1 | zenon_intro zenon_Hb0 ]. % 0.77/0.99 apply (zenon_L574_); trivial. % 0.77/0.99 exact (zenon_Haf zenon_Hb0). % 0.77/0.99 (* end of lemma zenon_L596_ *) % 0.77/0.99 assert (zenon_L597_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H1e8 zenon_H17a zenon_H171 zenon_H1f2 zenon_H66 zenon_Hef zenon_Had zenon_H104 zenon_H102 zenon_H5b zenon_H4b zenon_H89 zenon_H86 zenon_H79 zenon_H35 zenon_H203 zenon_H205 zenon_Hb7 zenon_H4e zenon_H65 zenon_H12b zenon_H129 zenon_H22b zenon_H216 zenon_H177 zenon_H1ab zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cd. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_L596_); trivial. % 0.77/0.99 apply (zenon_L237_); trivial. % 0.77/0.99 (* end of lemma zenon_L597_ *) % 0.77/0.99 assert (zenon_L598_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> (~(hskp9)) -> (~(hskp18)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H65 zenon_H12f zenon_H12d zenon_H59 zenon_H5b zenon_H24 zenon_H16 zenon_H13 zenon_H11 zenon_Hd zenon_H25 zenon_H35 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/0.99 apply (zenon_L22_); trivial. % 0.77/0.99 apply (zenon_L85_); trivial. % 0.77/0.99 (* end of lemma zenon_L598_ *) % 0.77/0.99 assert (zenon_L599_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (c1_1 (a725)) -> (c2_1 (a725)) -> (c3_1 (a725)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H146 zenon_H2a zenon_H29 zenon_H28 zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H38 zenon_H39 zenon_H3a. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H27 | zenon_intro zenon_H148 ]. % 0.77/0.99 apply (zenon_L13_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H9d | zenon_intro zenon_H37 ]. % 0.77/0.99 apply (zenon_L580_); trivial. % 0.77/0.99 apply (zenon_L17_); trivial. % 0.77/0.99 (* end of lemma zenon_L599_ *) % 0.77/0.99 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H4a zenon_H4b zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H13e zenon_H13d zenon_H13c zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H33 zenon_H35. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/0.99 apply (zenon_L16_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L599_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 apply (zenon_L87_); trivial. % 0.77/0.99 apply (zenon_L239_); trivial. % 0.77/0.99 (* end of lemma zenon_L600_ *) % 0.77/0.99 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H14d zenon_H4e zenon_H4b zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H33 zenon_H35 zenon_H89 zenon_H5b zenon_H59 zenon_H86 zenon_He8 zenon_H108 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H11c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L536_); trivial. % 0.77/0.99 apply (zenon_L600_); trivial. % 0.77/0.99 (* end of lemma zenon_L601_ *) % 0.77/0.99 assert (zenon_L602_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((hskp27)\/((hskp24)\/(hskp18))) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a2 zenon_Hc7 zenon_H150 zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H89 zenon_H86 zenon_He8 zenon_H108 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H11c zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H35 zenon_H25 zenon_H11 zenon_H13 zenon_H16 zenon_H24 zenon_H5b zenon_H12f zenon_H65 zenon_H240 zenon_Haf zenon_Had zenon_Hb7 zenon_Hef. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.99 apply (zenon_L598_); trivial. % 0.77/0.99 apply (zenon_L601_); trivial. % 0.77/0.99 apply (zenon_L241_); trivial. % 0.77/0.99 apply (zenon_L262_); trivial. % 0.77/0.99 (* end of lemma zenon_L602_ *) % 0.77/0.99 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H13e zenon_H13d zenon_H13c zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L25_); trivial. % 0.77/0.99 apply (zenon_L600_); trivial. % 0.77/0.99 (* end of lemma zenon_L603_ *) % 0.77/0.99 assert (zenon_L604_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H249 zenon_Hb zenon_H127 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H13e zenon_H13d zenon_H13c zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L581_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 apply (zenon_L87_); trivial. % 0.77/0.99 apply (zenon_L239_); trivial. % 0.77/0.99 (* end of lemma zenon_L604_ *) % 0.77/0.99 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H14d zenon_H4e zenon_H4b zenon_H146 zenon_H33 zenon_H35 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/0.99 apply (zenon_L604_); trivial. % 0.77/0.99 apply (zenon_L600_); trivial. % 0.77/0.99 (* end of lemma zenon_L605_ *) % 0.77/0.99 assert (zenon_L606_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H249 zenon_Hb zenon_H127 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H184 zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L581_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 apply (zenon_L245_); trivial. % 0.77/0.99 apply (zenon_L239_); trivial. % 0.77/0.99 (* end of lemma zenon_L606_ *) % 0.77/0.99 assert (zenon_L607_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a5 zenon_H186 zenon_Hd4 zenon_H185 zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H43. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.77/0.99 apply (zenon_L179_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.77/0.99 apply (zenon_L580_); trivial. % 0.77/0.99 exact (zenon_H43 zenon_H44). % 0.77/0.99 (* end of lemma zenon_L607_ *) % 0.77/0.99 assert (zenon_L608_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a5 zenon_H238 zenon_H239 zenon_H237 zenon_Hd3 zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H43. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.77/0.99 apply (zenon_L277_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.77/0.99 apply (zenon_L580_); trivial. % 0.77/0.99 exact (zenon_H43 zenon_H44). % 0.77/0.99 (* end of lemma zenon_L608_ *) % 0.77/0.99 assert (zenon_L609_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H249 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_Hd3 zenon_H1a5 zenon_H13e zenon_H13d zenon_H13c zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L608_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 apply (zenon_L87_); trivial. % 0.77/0.99 apply (zenon_L239_); trivial. % 0.77/0.99 (* end of lemma zenon_L609_ *) % 0.77/0.99 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H14d zenon_H22f zenon_Haf zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H152 zenon_H154 zenon_H151 zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H249 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_H1a5 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L607_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 apply (zenon_L87_); trivial. % 0.77/0.99 apply (zenon_L239_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/0.99 apply (zenon_L272_); trivial. % 0.77/0.99 apply (zenon_L609_); trivial. % 0.77/0.99 (* end of lemma zenon_L610_ *) % 0.77/0.99 assert (zenon_L611_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H216 zenon_H22b zenon_H129 zenon_H12b zenon_H24f zenon_H66 zenon_H203 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177 zenon_H17a zenon_H150 zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H5b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cd zenon_H12f zenon_H4e zenon_H240 zenon_Had zenon_Hb7 zenon_Hef zenon_H19d zenon_H193 zenon_H1e8 zenon_H205 zenon_H1ab. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/0.99 apply (zenon_L587_); trivial. % 0.77/0.99 apply (zenon_L605_); trivial. % 0.77/0.99 apply (zenon_L241_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 apply (zenon_L280_); trivial. % 0.77/0.99 apply (zenon_L300_); trivial. % 0.77/0.99 (* end of lemma zenon_L611_ *) % 0.77/0.99 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a708))/\((~(c1_1 (a708)))/\(~(c2_1 (a708))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(c2_1 (a676)))))) -> ((forall X118 : zenon_U, ((ndr1_0)->((~(c0_1 X118))\/((~(c1_1 X118))\/(~(c2_1 X118))))))\/((hskp9)\/(hskp5))) -> (~(hskp5)) -> ((hskp27)\/((hskp24)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/(hskp27))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H259 zenon_H233 zenon_H1e8 zenon_H1f2 zenon_H66 zenon_Hef zenon_Had zenon_H102 zenon_H5b zenon_H89 zenon_H86 zenon_H79 zenon_H65 zenon_H12b zenon_H129 zenon_H22b zenon_H19d zenon_H193 zenon_H218 zenon_H22f zenon_H17a zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H216 zenon_H1a2 zenon_Hb7 zenon_Hc7 zenon_H240 zenon_H24 zenon_H16 zenon_H13 zenon_H25 zenon_H35 zenon_H227 zenon_H4b zenon_H4e zenon_H237 zenon_H238 zenon_H239 zenon_H24f zenon_H211 zenon_H104 zenon_H177 zenon_H2cb zenon_H203 zenon_H205 zenon_H1ab zenon_H171 zenon_H256 zenon_H21d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L284_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/0.99 apply (zenon_L288_); trivial. % 0.77/0.99 apply (zenon_L579_); trivial. % 0.77/0.99 apply (zenon_L285_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L287_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 apply (zenon_L289_); trivial. % 0.77/0.99 apply (zenon_L293_); trivial. % 0.77/0.99 apply (zenon_L597_); trivial. % 0.77/0.99 (* end of lemma zenon_L612_ *) % 0.77/0.99 assert (zenon_L613_ : (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (ndr1_0) -> (~(c2_1 (a668))) -> (c0_1 (a668)) -> (c1_1 (a668)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H13b zenon_H10 zenon_H2c2 zenon_H2d5 zenon_H2c4. % 0.77/0.99 generalize (zenon_H13b (a668)). zenon_intro zenon_H2d6. % 0.77/0.99 apply (zenon_imply_s _ _ zenon_H2d6); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d7 ]. % 0.77/0.99 exact (zenon_Hf zenon_H10). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2d1 ]. % 0.77/0.99 exact (zenon_H2c2 zenon_H2c8). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2c9 ]. % 0.77/0.99 exact (zenon_H2d2 zenon_H2d5). % 0.77/0.99 exact (zenon_H2c9 zenon_H2c4). % 0.77/0.99 (* end of lemma zenon_L613_ *) % 0.77/0.99 assert (zenon_L614_ : ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (c3_1 (a678)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))) -> (c1_1 (a678)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H46 zenon_Ha6 zenon_H1f4 zenon_Ha5 zenon_H10 zenon_H41 zenon_H43. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H37 | zenon_intro zenon_H49 ]. % 0.77/0.99 apply (zenon_L177_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H42 | zenon_intro zenon_H44 ]. % 0.77/0.99 exact (zenon_H41 zenon_H42). % 0.77/0.99 exact (zenon_H43 zenon_H44). % 0.77/0.99 (* end of lemma zenon_L614_ *) % 0.77/0.99 assert (zenon_L615_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a762)) -> (~(c3_1 (a762))) -> (~(c0_1 (a762))) -> (c1_1 (a668)) -> (~(c2_1 (a668))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp23)\/(hskp16))) -> (c3_1 (a678)) -> (c1_1 (a678)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H249 zenon_H10d zenon_H10c zenon_H10b zenon_H2c4 zenon_H2c2 zenon_H207 zenon_H46 zenon_Ha6 zenon_Ha5 zenon_H10 zenon_H41 zenon_H43. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/0.99 apply (zenon_L71_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/0.99 generalize (zenon_H207 (a668)). zenon_intro zenon_H2d8. % 0.77/0.99 apply (zenon_imply_s _ _ zenon_H2d8); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d9 ]. % 0.77/0.99 exact (zenon_Hf zenon_H10). % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2da ]. % 0.77/0.99 apply (zenon_L613_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c9 ]. % 0.77/0.99 exact (zenon_H2c2 zenon_H2c8). % 0.77/0.99 exact (zenon_H2c9 zenon_H2c4). % 0.77/0.99 apply (zenon_L614_); trivial. % 0.77/0.99 (* end of lemma zenon_L615_ *) % 0.77/0.99 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hef zenon_Hb2 zenon_Haf zenon_Hb7 zenon_H79 zenon_H1 zenon_H1a5 zenon_H185 zenon_H186 zenon_H187 zenon_Hc7 zenon_H5b zenon_H89 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_H65 zenon_H102 zenon_H104 zenon_Had zenon_H86 zenon_He6 zenon_H193 zenon_H19d zenon_H177. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L134_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 (* end of lemma zenon_L616_ *) % 0.77/0.99 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H11c zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L150_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 (* end of lemma zenon_L617_ *) % 0.77/0.99 assert (zenon_L618_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H17a zenon_H2cd zenon_Haf zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H35 zenon_H146 zenon_H4b zenon_H4e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/0.99 apply (zenon_L209_); trivial. % 0.77/0.99 apply (zenon_L578_); trivial. % 0.77/0.99 (* end of lemma zenon_L618_ *) % 0.77/0.99 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Haf zenon_H2cd zenon_H17a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L618_); trivial. % 0.77/1.00 apply (zenon_L212_); trivial. % 0.77/1.00 (* end of lemma zenon_L619_ *) % 0.77/1.00 assert (zenon_L620_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> (ndr1_0) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1aa zenon_H1ab zenon_H177 zenon_H216 zenon_H104 zenon_H1 zenon_H211 zenon_H203 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Haf zenon_H2cd zenon_H17a zenon_H10 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/1.00 apply (zenon_L303_); trivial. % 0.77/1.00 apply (zenon_L619_); trivial. % 0.77/1.00 (* end of lemma zenon_L620_ *) % 0.77/1.00 assert (zenon_L621_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1a5 zenon_H43 zenon_H17d zenon_H17c zenon_H17b zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H11c zenon_H35 zenon_H33 zenon_H146 zenon_H2c4 zenon_H2c3 zenon_H4b zenon_H150. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/1.00 apply (zenon_L248_); trivial. % 0.77/1.00 apply (zenon_L601_); trivial. % 0.77/1.00 apply (zenon_L102_); trivial. % 0.77/1.00 (* end of lemma zenon_L621_ *) % 0.77/1.00 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H2cd zenon_H2c2 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1a5 zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H11c zenon_H35 zenon_H146 zenon_H2c4 zenon_H2c3 zenon_H4b zenon_H150 zenon_H65 zenon_H102 zenon_H1 zenon_H104 zenon_Hd2 zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_L621_); trivial. % 0.77/1.00 apply (zenon_L107_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L622_ *) % 0.77/1.00 assert (zenon_L623_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c0_1 (a684))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a684)) -> (~(hskp16)) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H249 zenon_H2c3 zenon_H2c4 zenon_H185 zenon_Hd4 zenon_H186 zenon_H43 zenon_H17b zenon_H17c zenon_H17d zenon_H1a5 zenon_H10 zenon_H237 zenon_H238 zenon_H239. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/1.00 apply (zenon_L607_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/1.00 apply (zenon_L246_); trivial. % 0.77/1.00 apply (zenon_L239_); trivial. % 0.77/1.00 (* end of lemma zenon_L623_ *) % 0.77/1.00 assert (zenon_L624_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H2cd zenon_H2c2 zenon_Hef zenon_H19d zenon_H193 zenon_He6 zenon_Haf zenon_H86 zenon_Had zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H187 zenon_H186 zenon_H185 zenon_H1a5 zenon_H1 zenon_H79 zenon_H249 zenon_H237 zenon_H238 zenon_H239 zenon_H2c3 zenon_H2c4 zenon_H22f zenon_Hb7 zenon_H35 zenon_H146 zenon_H4b zenon_H150 zenon_H65 zenon_H102 zenon_H104 zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L132_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/1.00 apply (zenon_L623_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/1.00 apply (zenon_L112_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.77/1.00 apply (zenon_L608_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.77/1.00 apply (zenon_L246_); trivial. % 0.77/1.00 apply (zenon_L239_); trivial. % 0.77/1.00 apply (zenon_L84_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L132_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/1.00 apply (zenon_L623_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/1.00 apply (zenon_L112_); trivial. % 0.77/1.00 apply (zenon_L609_); trivial. % 0.77/1.00 apply (zenon_L600_); trivial. % 0.77/1.00 apply (zenon_L119_); trivial. % 0.77/1.00 apply (zenon_L133_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L624_ *) % 0.77/1.00 assert (zenon_L625_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> (c2_1 (a702)) -> (c3_1 (a702)) -> (~(c1_1 (a702))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> (~(hskp19)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H150 zenon_H4b zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H33 zenon_H35 zenon_H11c zenon_H249 zenon_H6d zenon_H117 zenon_H108 zenon_He8 zenon_H102 zenon_Hf9 zenon_Hf2 zenon_Hf1 zenon_H288 zenon_H239 zenon_H238 zenon_H237 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_H89 zenon_H5b zenon_H59 zenon_H12f zenon_H4e zenon_H65. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/1.00 apply (zenon_L472_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/1.00 apply (zenon_L471_); trivial. % 0.77/1.00 apply (zenon_L535_); trivial. % 0.77/1.00 apply (zenon_L105_); trivial. % 0.77/1.00 (* end of lemma zenon_L625_ *) % 0.77/1.00 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H17a zenon_H2cd zenon_H2c2 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_H86 zenon_He8 zenon_H108 zenon_H1a5 zenon_H239 zenon_H238 zenon_H237 zenon_H249 zenon_H11c zenon_H35 zenon_H146 zenon_H2c4 zenon_H2c3 zenon_H4b zenon_H150 zenon_H6d zenon_H117 zenon_H102 zenon_H288 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_H65 zenon_H240 zenon_Had zenon_Hb7 zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_L621_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_L625_); trivial. % 0.77/1.00 apply (zenon_L241_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L626_ *) % 0.77/1.00 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H14d zenon_H4e zenon_H4b zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H33 zenon_H35 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_L604_); trivial. % 0.77/1.00 apply (zenon_L104_); trivial. % 0.77/1.00 (* end of lemma zenon_L627_ *) % 0.77/1.00 assert (zenon_L628_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H17a zenon_H2cd zenon_H2c2 zenon_H150 zenon_H4b zenon_H146 zenon_H35 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H229 zenon_H127 zenon_H17d zenon_H17c zenon_H17b zenon_H10 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.77/1.00 apply (zenon_L477_); trivial. % 0.77/1.00 apply (zenon_L627_); trivial. % 0.77/1.00 apply (zenon_L102_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L628_ *) % 0.77/1.00 assert (zenon_L629_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(c2_1 (a684))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> (~(c2_1 (a668))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_Hbb zenon_H11 zenon_H185 zenon_H186 zenon_H1a5 zenon_Hc7 zenon_H187 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_Hb7 zenon_H65 zenon_H5b zenon_H102 zenon_He6 zenon_H1e8 zenon_H177 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H229 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H2c3 zenon_H2c4 zenon_H35 zenon_H146 zenon_H4b zenon_H150 zenon_H2c2 zenon_H2cd zenon_H17a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L628_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L48_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/1.00 apply (zenon_L623_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/1.00 apply (zenon_L112_); trivial. % 0.77/1.00 apply (zenon_L137_); trivial. % 0.77/1.00 apply (zenon_L102_); trivial. % 0.77/1.00 apply (zenon_L274_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L629_ *) % 0.77/1.00 assert (zenon_L630_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a673))) -> (~(c2_1 (a673))) -> (~(c0_1 (a673))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H218 zenon_H22f zenon_H266 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H10 zenon_H17a zenon_H2cd zenon_H2c2 zenon_H150 zenon_H4b zenon_H146 zenon_H35 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H229 zenon_H12f zenon_H4e zenon_Haf zenon_Hb2 zenon_Hef zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H203 zenon_H211 zenon_H104 zenon_H216 zenon_H177 zenon_H1ab zenon_H1aa. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/1.00 apply (zenon_L303_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L628_); trivial. % 0.77/1.00 apply (zenon_L212_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/1.00 apply (zenon_L303_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L628_); trivial. % 0.77/1.00 apply (zenon_L223_); trivial. % 0.77/1.00 (* end of lemma zenon_L630_ *) % 0.77/1.00 assert (zenon_L631_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp24)) -> (~(hskp14)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H117 zenon_Hb zenon_H127 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H6d. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/1.00 apply (zenon_L581_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/1.00 apply (zenon_L335_); trivial. % 0.77/1.00 exact (zenon_H6d zenon_H6e). % 0.77/1.00 (* end of lemma zenon_L631_ *) % 0.77/1.00 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c1_1 (a731))) -> (~(c3_1 (a731))) -> (c0_1 (a731)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(hskp8)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H45 zenon_H117 zenon_H2c3 zenon_H2c4 zenon_H28 zenon_H29 zenon_H2a zenon_H146 zenon_H275 zenon_H283 zenon_H274 zenon_H6d. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H10. zenon_intro zenon_H47. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H38. zenon_intro zenon_H48. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H39. zenon_intro zenon_H3a. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/1.00 apply (zenon_L599_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/1.00 apply (zenon_L335_); trivial. % 0.77/1.00 exact (zenon_H6d zenon_H6e). % 0.77/1.00 (* end of lemma zenon_L632_ *) % 0.77/1.00 assert (zenon_L633_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H4a zenon_H4b zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H33 zenon_H35. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H31 | zenon_intro zenon_H45 ]. % 0.77/1.00 apply (zenon_L16_); trivial. % 0.77/1.00 apply (zenon_L632_); trivial. % 0.77/1.00 (* end of lemma zenon_L633_ *) % 0.77/1.00 assert (zenon_L634_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H17a zenon_H2cd zenon_Haf zenon_H2c2 zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_L631_); trivial. % 0.77/1.00 apply (zenon_L633_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L634_ *) % 0.77/1.00 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H67 zenon_H4e zenon_H4b zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H2c3 zenon_H2c4 zenon_H146 zenon_H33 zenon_H35 zenon_H59 zenon_H5b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_L25_); trivial. % 0.77/1.00 apply (zenon_L633_); trivial. % 0.77/1.00 (* end of lemma zenon_L635_ *) % 0.77/1.00 assert (zenon_L636_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(c2_1 (a668))) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ab zenon_H65 zenon_H5b zenon_H108 zenon_He8 zenon_H86 zenon_H102 zenon_He6 zenon_H89 zenon_H11c zenon_Hd2 zenon_Hef zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H229 zenon_H2c4 zenon_H2c3 zenon_H10 zenon_H274 zenon_H283 zenon_H275 zenon_H6d zenon_H117 zenon_H2c2 zenon_Haf zenon_H2cd zenon_H17a. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L634_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_L337_); trivial. % 0.77/1.00 apply (zenon_L635_); trivial. % 0.77/1.00 apply (zenon_L338_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L636_ *) % 0.77/1.00 assert (zenon_L637_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c0_1 (a684))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a684)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H117 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_H185 zenon_Hd4 zenon_H186 zenon_H1a5 zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H6d. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/1.00 apply (zenon_L607_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/1.00 apply (zenon_L335_); trivial. % 0.77/1.00 exact (zenon_H6d zenon_H6e). % 0.77/1.00 (* end of lemma zenon_L637_ *) % 0.77/1.00 assert (zenon_L638_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (~(c2_1 (a668))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H10a zenon_H10 zenon_H13b zenon_H2c2 zenon_H2c4 zenon_H2c3. % 0.77/1.00 generalize (zenon_H10a (a668)). zenon_intro zenon_H2d3. % 0.77/1.00 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d4 ]. % 0.77/1.00 exact (zenon_Hf zenon_H10). % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2c7 ]. % 0.77/1.00 apply (zenon_L613_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.77/1.00 exact (zenon_H2c3 zenon_H2ca). % 0.77/1.00 exact (zenon_H2c9 zenon_H2c4). % 0.77/1.00 (* end of lemma zenon_L638_ *) % 0.77/1.00 assert (zenon_L639_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c2_1 (a668))) -> (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H117 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_H13b zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H6d. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/1.00 apply (zenon_L638_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/1.00 apply (zenon_L335_); trivial. % 0.77/1.00 exact (zenon_H6d zenon_H6e). % 0.77/1.00 (* end of lemma zenon_L639_ *) % 0.77/1.00 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(hskp16)) -> (~(hskp8)) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> (~(c2_1 (a668))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H85 zenon_H288 zenon_H1a5 zenon_H186 zenon_H185 zenon_H43 zenon_H6d zenon_H274 zenon_H283 zenon_H275 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H117. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.77/1.00 apply (zenon_L637_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.77/1.00 apply (zenon_L639_); trivial. % 0.77/1.00 apply (zenon_L37_); trivial. % 0.77/1.00 (* end of lemma zenon_L640_ *) % 0.77/1.00 assert (zenon_L641_ : ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a674)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a674))) -> (c3_1 (a678)) -> (c1_1 (a678)) -> (c0_1 (a678)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hc7 zenon_H275 zenon_Hfe zenon_H274 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H10 zenon_H43. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc8 ]. % 0.77/1.00 apply (zenon_L329_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H44 ]. % 0.77/1.00 apply (zenon_L43_); trivial. % 0.77/1.00 exact (zenon_H43 zenon_H44). % 0.77/1.00 (* end of lemma zenon_L641_ *) % 0.77/1.00 assert (zenon_L642_ : ((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp8)) -> (c0_1 (a674)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp16)) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp11)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hb1 zenon_H104 zenon_H6d zenon_H283 zenon_H1a5 zenon_H186 zenon_H185 zenon_H2c4 zenon_H2c3 zenon_H117 zenon_H43 zenon_H274 zenon_H275 zenon_Hc7 zenon_H1. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H105 ]. % 0.77/1.00 apply (zenon_L637_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hfe | zenon_intro zenon_H2 ]. % 0.77/1.00 apply (zenon_L641_); trivial. % 0.77/1.00 exact (zenon_H1 zenon_H2). % 0.77/1.00 (* end of lemma zenon_L642_ *) % 0.77/1.00 assert (zenon_L643_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c2_1 (a668))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hb7 zenon_H104 zenon_Hc7 zenon_H79 zenon_H1 zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H185 zenon_H186 zenon_H2c3 zenon_H2c4 zenon_H43 zenon_H1a5 zenon_H2c2 zenon_H288 zenon_H89. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/1.00 apply (zenon_L36_); trivial. % 0.77/1.00 apply (zenon_L640_); trivial. % 0.77/1.00 apply (zenon_L642_); trivial. % 0.77/1.00 (* end of lemma zenon_L643_ *) % 0.77/1.00 assert (zenon_L644_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c2_1 (a668))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> (~(c0_1 (a673))) -> (~(c2_1 (a673))) -> (~(c3_1 (a673))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp9))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1be zenon_H1aa zenon_H17a zenon_H2cd zenon_Hb7 zenon_H104 zenon_Hc7 zenon_H79 zenon_H1 zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H2c3 zenon_H2c4 zenon_H1a5 zenon_H2c2 zenon_H288 zenon_H89 zenon_H65 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H5b zenon_H102 zenon_Had zenon_H86 zenon_Haf zenon_He6 zenon_H193 zenon_H19d zenon_Hef zenon_H177 zenon_H25d zenon_H25e zenon_H25f zenon_H11 zenon_H266. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.77/1.00 apply (zenon_L303_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_L643_); trivial. % 0.77/1.00 apply (zenon_L133_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L644_ *) % 0.77/1.00 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hdc zenon_Hda zenon_H17a zenon_H2cd zenon_Haf zenon_H2c2 zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_Hef zenon_Hd2 zenon_H11c zenon_H89 zenon_He6 zenon_H102 zenon_H86 zenon_H108 zenon_H5b zenon_H65 zenon_H1ab. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/1.00 apply (zenon_L636_); trivial. % 0.77/1.00 apply (zenon_L153_); trivial. % 0.77/1.00 (* end of lemma zenon_L645_ *) % 0.77/1.00 assert (zenon_L646_ : ((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a668))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1be zenon_H177 zenon_H216 zenon_H211 zenon_H203 zenon_H1d9 zenon_H1d8 zenon_H19d zenon_H193 zenon_H205 zenon_H89 zenon_H288 zenon_H2c2 zenon_H1a5 zenon_H2c4 zenon_H2c3 zenon_H274 zenon_H283 zenon_H275 zenon_H6d zenon_H117 zenon_H1 zenon_H79 zenon_Hc7 zenon_H104 zenon_Hb7. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_L643_); trivial. % 0.77/1.00 apply (zenon_L189_); trivial. % 0.77/1.00 (* end of lemma zenon_L646_ *) % 0.77/1.00 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H234 zenon_H21d zenon_H129 zenon_H12b zenon_H219 zenon_H1fc zenon_H171 zenon_H1f2 zenon_H66 zenon_H1c1 zenon_H177 zenon_H216 zenon_H211 zenon_H203 zenon_H19d zenon_H193 zenon_H205 zenon_H288 zenon_H1a5 zenon_H79 zenon_Hc7 zenon_H104 zenon_Hb7 zenon_H17a zenon_H2cd zenon_H2c2 zenon_H117 zenon_H6d zenon_H275 zenon_H283 zenon_H274 zenon_H2c3 zenon_H2c4 zenon_H229 zenon_H35 zenon_H146 zenon_H4b zenon_H4e zenon_Hef zenon_Hd2 zenon_H11c zenon_H89 zenon_He6 zenon_H102 zenon_H86 zenon_H108 zenon_H5b zenon_H65 zenon_H1ab zenon_H1e8 zenon_H218. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/1.00 apply (zenon_L636_); trivial. % 0.77/1.00 apply (zenon_L646_); trivial. % 0.77/1.00 apply (zenon_L592_); trivial. % 0.77/1.00 apply (zenon_L367_); trivial. % 0.77/1.00 (* end of lemma zenon_L647_ *) % 0.77/1.00 assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H176 zenon_Hef zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_Hbb zenon_H11 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L48_); trivial. % 0.77/1.00 apply (zenon_L235_); trivial. % 0.77/1.00 apply (zenon_L338_); trivial. % 0.77/1.00 (* end of lemma zenon_L648_ *) % 0.77/1.00 assert (zenon_L649_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((hskp28)\/((hskp19)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H17a zenon_Hef zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_Hbb zenon_H11 zenon_H21e zenon_H21f zenon_H220 zenon_H205 zenon_Hb7 zenon_H1b8 zenon_He8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H4b zenon_H89 zenon_H86 zenon_H108 zenon_H35 zenon_H11c zenon_H4e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_L583_); trivial. % 0.77/1.00 apply (zenon_L648_); trivial. % 0.77/1.00 (* end of lemma zenon_L649_ *) % 0.77/1.00 assert (zenon_L650_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H234 zenon_H21d zenon_H218 zenon_H1e8 zenon_H22f zenon_Hd2 zenon_H275 zenon_H283 zenon_H274 zenon_H163 zenon_H1a5 zenon_Hb7 zenon_H205 zenon_H203 zenon_H104 zenon_H1f2 zenon_H211 zenon_H216 zenon_H177 zenon_H1aa zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cd. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/1.00 apply (zenon_L596_); trivial. % 0.77/1.00 apply (zenon_L384_); trivial. % 0.77/1.00 (* end of lemma zenon_L650_ *) % 0.77/1.00 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a688)) -> (c0_1 (a688)) -> (~(c3_1 (a688))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))) -> (~(c1_1 (a674))) -> (c3_1 (a674)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> (c0_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H65 zenon_H4e zenon_H146 zenon_H17d zenon_H17c zenon_H17b zenon_H5b zenon_H4b zenon_H108 zenon_He8 zenon_H86 zenon_H274 zenon_H275 zenon_H102 zenon_H35 zenon_Haf zenon_He6 zenon_H89 zenon_H283 zenon_H6d zenon_H117 zenon_H11c zenon_Hd2 zenon_Hef. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_L339_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L651_ *) % 0.77/1.00 assert (zenon_L652_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a674)) -> (c0_1 (a674)) -> (~(c1_1 (a674))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H117 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_Hd3 zenon_H237 zenon_H239 zenon_H238 zenon_H1a5 zenon_H275 zenon_H283 zenon_H274 zenon_H10 zenon_H6d. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10a | zenon_intro zenon_H118 ]. % 0.77/1.00 apply (zenon_L608_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6e ]. % 0.77/1.00 apply (zenon_L335_); trivial. % 0.77/1.00 exact (zenon_H6d zenon_H6e). % 0.77/1.00 (* end of lemma zenon_L652_ *) % 0.77/1.00 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(c2_1 (a668))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (~(c2_1 (a684))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ac zenon_H17a zenon_H2cd zenon_H2c2 zenon_H22f zenon_H238 zenon_H239 zenon_H237 zenon_H187 zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Haf zenon_He6 zenon_H1a5 zenon_H2c4 zenon_H2c3 zenon_H186 zenon_H185 zenon_H274 zenon_H283 zenon_H275 zenon_H6d zenon_H117 zenon_H65 zenon_H4e zenon_H4b zenon_H146 zenon_H35 zenon_H5b zenon_H102 zenon_Hd2 zenon_Hef zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/1.00 apply (zenon_L637_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/1.00 apply (zenon_L272_); trivial. % 0.77/1.00 apply (zenon_L652_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_L273_); trivial. % 0.77/1.00 apply (zenon_L635_); trivial. % 0.77/1.00 apply (zenon_L338_); trivial. % 0.77/1.00 apply (zenon_L578_); trivial. % 0.77/1.00 (* end of lemma zenon_L653_ *) % 0.77/1.00 assert (zenon_L654_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c2_1 (a684))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c1_1 (a674))) -> (c0_1 (a674)) -> (c3_1 (a674)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a730))/\((c2_1 (a730))/\(~(c1_1 (a730))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp23))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> (~(c2_1 (a668))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H22f zenon_H187 zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_He6 zenon_H1a5 zenon_H186 zenon_H185 zenon_H274 zenon_H283 zenon_H275 zenon_H6d zenon_H117 zenon_H65 zenon_H5b zenon_H102 zenon_Hd2 zenon_H177 zenon_Hef zenon_Hb2 zenon_Haf zenon_H4e zenon_H12f zenon_H229 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H2c3 zenon_H2c4 zenon_H35 zenon_H146 zenon_H4b zenon_H150 zenon_H2c2 zenon_H2cd zenon_H17a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.77/1.00 apply (zenon_L628_); trivial. % 0.77/1.00 apply (zenon_L653_); trivial. % 0.77/1.00 (* end of lemma zenon_L654_ *) % 0.77/1.00 assert (zenon_L655_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c2_1 (a668))) -> (forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1b8 zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_H13b zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_He8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H10a | zenon_intro zenon_H1b9 ]. % 0.77/1.00 apply (zenon_L638_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd3 | zenon_intro zenon_He9 ]. % 0.77/1.00 apply (zenon_L137_); trivial. % 0.77/1.00 exact (zenon_He8 zenon_He9). % 0.77/1.00 (* end of lemma zenon_L655_ *) % 0.77/1.00 assert (zenon_L656_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c2_1 (a668))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H11c zenon_H108 zenon_He8 zenon_H29f zenon_H29e zenon_H2a0 zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H2c3 zenon_H2c4 zenon_H2c2 zenon_H288 zenon_H89. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/1.00 apply (zenon_L68_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.77/1.00 apply (zenon_L432_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.77/1.00 apply (zenon_L655_); trivial. % 0.77/1.00 apply (zenon_L37_); trivial. % 0.77/1.00 apply (zenon_L138_); trivial. % 0.77/1.00 (* end of lemma zenon_L656_ *) % 0.77/1.00 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a668))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ed zenon_H1c1 zenon_Hdc zenon_Hda zenon_H89 zenon_H288 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H1b8 zenon_H2a0 zenon_H29e zenon_H29f zenon_H108 zenon_H11c. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.77/1.00 apply (zenon_L656_); trivial. % 0.77/1.00 apply (zenon_L153_); trivial. % 0.77/1.00 (* end of lemma zenon_L657_ *) % 0.77/1.00 assert (zenon_L658_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1ab zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H129 zenon_H12b zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_L466_); trivial. % 0.77/1.00 apply (zenon_L169_); trivial. % 0.77/1.00 (* end of lemma zenon_L658_ *) % 0.77/1.00 assert (zenon_L659_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp20)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hef zenon_H19d zenon_H193 zenon_H220 zenon_H21f zenon_H21e zenon_H33 zenon_Had zenon_H4e zenon_H12f zenon_H89 zenon_H5b zenon_Hc7 zenon_H43 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_H1 zenon_H79 zenon_Hb7 zenon_H288 zenon_H150. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.77/1.00 apply (zenon_L436_); trivial. % 0.77/1.00 apply (zenon_L196_); trivial. % 0.77/1.00 (* end of lemma zenon_L659_ *) % 0.77/1.00 assert (zenon_L660_ : ((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a668))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H217 zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H288 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H1b8 zenon_H108 zenon_H11c zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_L466_); trivial. % 0.77/1.00 apply (zenon_L657_); trivial. % 0.77/1.00 (* end of lemma zenon_L660_ *) % 0.77/1.00 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (~(hskp10)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c2_1 (a684))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1ac zenon_H22f zenon_H2a0 zenon_H29e zenon_H29f zenon_Haf zenon_H1e8 zenon_H185 zenon_H186 zenon_H187 zenon_He6 zenon_H1af zenon_H1b0 zenon_H1b1. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.77/1.00 apply (zenon_L432_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.77/1.00 apply (zenon_L272_); trivial. % 0.77/1.00 apply (zenon_L137_); trivial. % 0.77/1.00 (* end of lemma zenon_L661_ *) % 0.77/1.00 assert (zenon_L662_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H218 zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240 zenon_H104 zenon_H177. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_L452_); trivial. % 0.77/1.00 apply (zenon_L592_); trivial. % 0.77/1.00 (* end of lemma zenon_L662_ *) % 0.77/1.00 assert (zenon_L663_ : ((ndr1_0)/\((c2_1 (a680))/\((~(c1_1 (a680)))/\(~(c3_1 (a680)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a681))/\((c3_1 (a681))/\(~(c0_1 (a681))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((hskp14)\/(hskp1))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> (c3_1 (a670)) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (~(c2_1 (a668))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H234 zenon_H21d zenon_H1ab zenon_H129 zenon_H12b zenon_H79 zenon_H171 zenon_H1f2 zenon_H89 zenon_H177 zenon_H104 zenon_H240 zenon_H239 zenon_H238 zenon_H237 zenon_Hc7 zenon_H2a0 zenon_H29f zenon_H29e zenon_H66 zenon_Hb7 zenon_H1e8 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H2cd zenon_H218. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.77/1.00 apply (zenon_L662_); trivial. % 0.77/1.00 apply (zenon_L658_); trivial. % 0.77/1.00 (* end of lemma zenon_L663_ *) % 0.77/1.00 assert (zenon_L664_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a684))/\((~(c0_1 (a684)))/\(~(c2_1 (a684))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> (~(c2_1 (a668))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp11)\/(hskp16))) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp16))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H218 zenon_H1c1 zenon_Hdc zenon_Hda zenon_H288 zenon_H2c2 zenon_H2c4 zenon_H2c3 zenon_H1b8 zenon_H108 zenon_H11c zenon_Hb7 zenon_H66 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc7 zenon_H79 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89 zenon_H104 zenon_H177. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.77/1.00 apply (zenon_L488_); trivial. % 0.77/1.00 apply (zenon_L657_); trivial. % 0.77/1.00 (* end of lemma zenon_L664_ *) % 0.77/1.00 assert (zenon_L665_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> (~(c1_1 (a680))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/((hskp24)\/(hskp19))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H4e zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H33 zenon_H35 zenon_H2cd zenon_Haf zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1d8 zenon_H1d9 zenon_H1d7 zenon_H10 zenon_H59 zenon_H5b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_L586_); trivial. % 0.77/1.00 apply (zenon_L503_); trivial. % 0.77/1.00 (* end of lemma zenon_L665_ *) % 0.77/1.00 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp21))) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (~(hskp21)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H85 zenon_H2db zenon_H96 zenon_H95 zenon_H9e zenon_H3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_Hde | zenon_intro zenon_H2dc ]. % 0.77/1.00 apply (zenon_L254_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H7b | zenon_intro zenon_H4 ]. % 0.77/1.00 apply (zenon_L37_); trivial. % 0.77/1.00 exact (zenon_H3 zenon_H4). % 0.77/1.00 (* end of lemma zenon_L666_ *) % 0.77/1.00 assert (zenon_L667_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (~(hskp28)) -> (~(hskp11)) -> ((hskp28)\/((hskp30)\/(hskp11))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H89 zenon_H2db zenon_H3 zenon_H96 zenon_H95 zenon_H9e zenon_H75 zenon_H1 zenon_H79. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.77/1.00 apply (zenon_L36_); trivial. % 0.77/1.00 apply (zenon_L666_); trivial. % 0.77/1.00 (* end of lemma zenon_L667_ *) % 0.77/1.00 assert (zenon_L668_ : ((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51))))))\/(hskp15))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> ((hskp28)\/((hskp30)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hb8 zenon_Hb7 zenon_Hb2 zenon_Haf zenon_H33 zenon_Had zenon_H8d zenon_H8c zenon_H8b zenon_H79 zenon_H1 zenon_H3 zenon_H2db zenon_H89. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L667_); trivial. % 0.77/1.00 apply (zenon_L46_); trivial. % 0.77/1.00 (* end of lemma zenon_L668_ *) % 0.77/1.00 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hea zenon_H4e zenon_H11c zenon_H89 zenon_H1f2 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H108 zenon_H219 zenon_Hb7 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_He8 zenon_H1b8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.77/1.00 apply (zenon_L582_); trivial. % 0.77/1.00 apply (zenon_L527_); trivial. % 0.77/1.00 (* end of lemma zenon_L669_ *) % 0.77/1.00 assert (zenon_L670_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H4e zenon_H4b zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H33 zenon_H35 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_He8 zenon_H1b8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L582_); trivial. % 0.86/1.01 apply (zenon_L503_); trivial. % 0.86/1.01 (* end of lemma zenon_L670_ *) % 0.86/1.01 assert (zenon_L671_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (ndr1_0) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_Hef zenon_H150 zenon_H14c zenon_H145 zenon_H2bf zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Hb6 zenon_H160 zenon_H2bd zenon_H1b8 zenon_He8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H10 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H35 zenon_H33 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H4b zenon_H4e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L670_); trivial. % 0.86/1.01 apply (zenon_L518_); trivial. % 0.86/1.01 (* end of lemma zenon_L671_ *) % 0.86/1.01 assert (zenon_L672_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H150 zenon_H4e zenon_H4b zenon_H2bb zenon_H59 zenon_H33 zenon_H35 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L604_); trivial. % 0.86/1.01 apply (zenon_L503_); trivial. % 0.86/1.01 (* end of lemma zenon_L672_ *) % 0.86/1.01 assert (zenon_L673_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a716)) -> (c1_1 (a716)) -> (~(c3_1 (a716))) -> (~(hskp26)) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H89 zenon_H2db zenon_H3 zenon_H96 zenon_H95 zenon_H9e zenon_H106 zenon_He8 zenon_H108. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.86/1.01 apply (zenon_L68_); trivial. % 0.86/1.01 apply (zenon_L666_); trivial. % 0.86/1.01 (* end of lemma zenon_L673_ *) % 0.86/1.01 assert (zenon_L674_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a700))/\((~(c0_1 (a700)))/\(~(c3_1 (a700))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((c3_1 X53)\/(~(c1_1 X53))))))\/(hskp10))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a668))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp10)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H17a zenon_H2cd zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4e zenon_H4b zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H35 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229 zenon_Haf zenon_Hb2 zenon_Hef. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L512_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 (* end of lemma zenon_L674_ *) % 0.86/1.01 assert (zenon_L675_ : ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(hskp3)) -> (~(c1_1 (a680))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp3))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> (ndr1_0) -> (c0_1 (a678)) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H205 zenon_H193 zenon_H1d7 zenon_H1d9 zenon_H1d8 zenon_H19d zenon_H186 zenon_Hd4 zenon_H185 zenon_H10 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.86/1.01 apply (zenon_L352_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H184 | zenon_intro zenon_Ha3 ]. % 0.86/1.01 apply (zenon_L179_); trivial. % 0.86/1.01 apply (zenon_L43_); trivial. % 0.86/1.01 (* end of lemma zenon_L675_ *) % 0.86/1.01 assert (zenon_L676_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a725))/\((c2_1 (a725))/\(c3_1 (a725)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H162 zenon_Hef zenon_H104 zenon_H1 zenon_Hd2 zenon_H2bd zenon_H160 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H2c3 zenon_H2c4 zenon_H127 zenon_H229 zenon_H35 zenon_H33 zenon_H2bb zenon_H4b zenon_H4e zenon_H150. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L672_); trivial. % 0.86/1.01 apply (zenon_L76_); trivial. % 0.86/1.01 (* end of lemma zenon_L676_ *) % 0.86/1.01 assert (zenon_L677_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.86/1.01 do 0 intro. intros zenon_Hb7 zenon_H205 zenon_H1e8 zenon_H151 zenon_H154 zenon_H152 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H201 zenon_H203 zenon_H10 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L240_); trivial. % 0.86/1.01 apply (zenon_L298_); trivial. % 0.86/1.01 (* end of lemma zenon_L677_ *) % 0.86/1.01 assert (zenon_L678_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (~(c2_1 (a675))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1a5 zenon_H151 zenon_H154 zenon_H152 zenon_H237 zenon_H239 zenon_H238 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H43. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.86/1.01 apply (zenon_L278_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.86/1.01 apply (zenon_L580_); trivial. % 0.86/1.01 exact (zenon_H43 zenon_H44). % 0.86/1.01 (* end of lemma zenon_L678_ *) % 0.86/1.01 assert (zenon_L679_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H249 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H238 zenon_H239 zenon_H237 zenon_H152 zenon_H154 zenon_H151 zenon_H1a5 zenon_H13e zenon_H13d zenon_H13c zenon_H37 zenon_H10 zenon_Ha5 zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.86/1.01 apply (zenon_L678_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.86/1.01 apply (zenon_L87_); trivial. % 0.86/1.01 apply (zenon_L177_); trivial. % 0.86/1.01 (* end of lemma zenon_L679_ *) % 0.86/1.01 assert (zenon_L680_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a703)) -> (~(c2_1 (a703))) -> (~(c0_1 (a703))) -> (c3_1 (a684)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a684))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(c2_1 (a675))) -> (~(c3_1 (a696))) -> (c0_1 (a696)) -> (c2_1 (a696)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a711)) -> (c0_1 (a711)) -> (~(c2_1 (a711))) -> (ndr1_0) -> (c1_1 (a678)) -> (c3_1 (a678)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H227 zenon_H20a zenon_H209 zenon_H208 zenon_H186 zenon_Hd4 zenon_H185 zenon_H249 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_H1e8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H238 zenon_H239 zenon_H237 zenon_H152 zenon_H154 zenon_H151 zenon_H1a5 zenon_H13e zenon_H13d zenon_H13c zenon_H10 zenon_Ha5 zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H228 ]. % 0.86/1.01 apply (zenon_L186_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H184 | zenon_intro zenon_H37 ]. % 0.86/1.01 apply (zenon_L179_); trivial. % 0.86/1.01 apply (zenon_L679_); trivial. % 0.86/1.01 (* end of lemma zenon_L680_ *) % 0.86/1.01 assert (zenon_L681_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> (~(c0_1 (a703))) -> (~(c2_1 (a703))) -> (c1_1 (a703)) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c2_1 (a696)) -> (c0_1 (a696)) -> (~(c3_1 (a696))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H14d zenon_Hb7 zenon_H22f zenon_H208 zenon_H209 zenon_H20a zenon_H185 zenon_H186 zenon_H249 zenon_H1e8 zenon_H151 zenon_H154 zenon_H152 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H2c3 zenon_H2c4 zenon_H43 zenon_H1a5 zenon_H227 zenon_H237 zenon_H238 zenon_H239 zenon_Haf zenon_H240. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L240_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.86/1.01 apply (zenon_L680_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.86/1.01 apply (zenon_L278_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H228 ]. % 0.86/1.01 apply (zenon_L186_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H184 | zenon_intro zenon_H37 ]. % 0.86/1.01 apply (zenon_L277_); trivial. % 0.86/1.01 apply (zenon_L679_); trivial. % 0.86/1.01 (* end of lemma zenon_L681_ *) % 0.86/1.01 assert (zenon_L682_ : ((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a703))/\((~(c0_1 (a703)))/\(~(c2_1 (a703))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(~(c1_1 X3))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8))))))\/((hskp28)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c0_1 X49)\/((c3_1 X49)\/(~(c2_1 X49))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X51 : zenon_U, ((ndr1_0)->((~(c0_1 X51))\/((~(c1_1 X51))\/(~(c3_1 X51)))))))) -> (~(c0_1 (a684))) -> (c3_1 (a684)) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H162 zenon_H216 zenon_H211 zenon_H240 zenon_Haf zenon_H239 zenon_H238 zenon_H237 zenon_H205 zenon_H185 zenon_H186 zenon_H1d8 zenon_H1d9 zenon_H203 zenon_H1 zenon_H104 zenon_Hb7. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L240_); trivial. % 0.86/1.01 apply (zenon_L185_); trivial. % 0.86/1.01 apply (zenon_L188_); trivial. % 0.86/1.01 (* end of lemma zenon_L682_ *) % 0.86/1.01 assert (zenon_L683_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H14d zenon_H4e zenon_H219 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L604_); trivial. % 0.86/1.01 apply (zenon_L325_); trivial. % 0.86/1.01 (* end of lemma zenon_L683_ *) % 0.86/1.01 assert (zenon_L684_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H150 zenon_H4e zenon_H219 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_L683_); trivial. % 0.86/1.01 (* end of lemma zenon_L684_ *) % 0.86/1.01 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a681))) -> (c2_1 (a681)) -> (c3_1 (a681)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1ed zenon_H1aa zenon_H150 zenon_H4e zenon_H219 zenon_H1c2 zenon_H1c4 zenon_H1ce zenon_H171 zenon_H229 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H1ab. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L684_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L533_); trivial. % 0.86/1.01 (* end of lemma zenon_L685_ *) % 0.86/1.01 assert (zenon_L686_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp19)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (c0_1 (a731)) -> (~(c3_1 (a731))) -> (~(c1_1 (a731))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> (~(hskp12)) -> (~(hskp26)) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_Hb7 zenon_H219 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H59 zenon_H2bb zenon_H2a zenon_H29 zenon_H28 zenon_H108 zenon_He8 zenon_H106 zenon_H292 zenon_H293 zenon_H294 zenon_H1f2 zenon_H89. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L404_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.86/1.01 apply (zenon_L400_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.86/1.01 apply (zenon_L13_); trivial. % 0.86/1.01 apply (zenon_L501_); trivial. % 0.86/1.01 (* end of lemma zenon_L686_ *) % 0.86/1.01 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a702)) -> (~(c1_1 (a702))) -> (c3_1 (a702)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H4a zenon_H11c zenon_H104 zenon_H1 zenon_Hf9 zenon_Hf1 zenon_Hf2 zenon_H6d zenon_H117 zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_L686_); trivial. % 0.86/1.01 apply (zenon_L74_); trivial. % 0.86/1.01 (* end of lemma zenon_L687_ *) % 0.86/1.01 assert (zenon_L688_ : ((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H4a zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_L686_); trivial. % 0.86/1.01 apply (zenon_L138_); trivial. % 0.86/1.01 (* end of lemma zenon_L688_ *) % 0.86/1.01 assert (zenon_L689_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H4e zenon_H11c zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H10 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_He8 zenon_H1b8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L582_); trivial. % 0.86/1.01 apply (zenon_L688_); trivial. % 0.86/1.01 (* end of lemma zenon_L689_ *) % 0.86/1.01 assert (zenon_L690_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c3_1 (a688))) -> (c0_1 (a688)) -> (c1_1 (a688)) -> (~(hskp14)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H4e zenon_H11c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_He8 zenon_H108 zenon_H2bb zenon_H59 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H219 zenon_Hb7 zenon_H10 zenon_H17b zenon_H17c zenon_H17d zenon_H127 zenon_H229. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L208_); trivial. % 0.86/1.01 apply (zenon_L688_); trivial. % 0.86/1.01 (* end of lemma zenon_L690_ *) % 0.86/1.01 assert (zenon_L691_ : ((ndr1_0)/\((c1_1 (a710))/\((c2_1 (a710))/\(~(c0_1 (a710)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a762))/\((~(c0_1 (a762)))/\(~(c3_1 (a762))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a753))/\((c2_1 (a753))/\(c3_1 (a753)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X10 : zenon_U, ((ndr1_0)->((~(c0_1 X10))\/((~(c2_1 X10))\/(~(c3_1 X10))))))\/(hskp28))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((hskp30)\/((hskp26)\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a681)) -> (c2_1 (a681)) -> (~(c0_1 (a681))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a678))/\((c1_1 (a678))/\(c3_1 (a678)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(hskp12))) -> False). % 0.86/1.01 do 0 intro. intros zenon_Hea zenon_H4e zenon_H11c zenon_H89 zenon_H1f2 zenon_H294 zenon_H293 zenon_H292 zenon_H108 zenon_H171 zenon_H1ce zenon_H1c4 zenon_H1c2 zenon_H219 zenon_Hb7 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_He8 zenon_H1b8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L582_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L404_); trivial. % 0.86/1.01 apply (zenon_L526_); trivial. % 0.86/1.01 apply (zenon_L138_); trivial. % 0.86/1.01 (* end of lemma zenon_L691_ *) % 0.86/1.01 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H14d zenon_H4e zenon_H219 zenon_H294 zenon_H293 zenon_H292 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L604_); trivial. % 0.86/1.01 apply (zenon_L420_); trivial. % 0.86/1.01 (* end of lemma zenon_L692_ *) % 0.86/1.01 assert (zenon_L693_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(hskp14)) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H150 zenon_H4e zenon_H219 zenon_H294 zenon_H293 zenon_H292 zenon_H229 zenon_H127 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_L692_); trivial. % 0.86/1.01 (* end of lemma zenon_L693_ *) % 0.86/1.01 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> (c3_1 (a683)) -> (c0_1 (a683)) -> (~(c2_1 (a683))) -> (c2_1 (a680)) -> (~(c3_1 (a680))) -> (~(c1_1 (a680))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (~(c0_1 (a671))) -> (~(c1_1 (a671))) -> (c2_1 (a671)) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1a7 zenon_H1ab zenon_H1e8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H229 zenon_H292 zenon_H293 zenon_H294 zenon_H237 zenon_H238 zenon_H239 zenon_H219 zenon_H4e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L421_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 (* end of lemma zenon_L694_ *) % 0.86/1.01 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a731))/\((~(c1_1 (a731)))/\(~(c3_1 (a731))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c2_1 X2))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((c3_1 X7)\/(~(c0_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a671)) -> (~(c1_1 (a671))) -> (~(c0_1 (a671))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/((hskp14)\/(hskp24))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(c1_1 (a680))) -> (~(c3_1 (a680))) -> (c2_1 (a680)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15))))))\/(forall X74 : zenon_U, ((ndr1_0)->((c3_1 X74)\/((~(c0_1 X74))\/(~(c2_1 X74)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a696))/\((c2_1 (a696))/\(~(c3_1 (a696))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1ed zenon_H1aa zenon_H150 zenon_H4e zenon_H219 zenon_H294 zenon_H293 zenon_H292 zenon_H229 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1e8 zenon_H1ab. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L693_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L694_); trivial. % 0.86/1.01 (* end of lemma zenon_L695_ *) % 0.86/1.01 assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a715))/\((~(c2_1 (a715)))/\(~(c3_1 (a715))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/(forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V)))))))) -> (c2_1 (a710)) -> (c1_1 (a710)) -> (~(c0_1 (a710))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c3_1 X48)\/((~(c1_1 X48))\/(~(c2_1 X48))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a684))) -> (c3_1 (a684)) -> (~(c0_1 (a684))) -> (~(c2_1 (a683))) -> (c0_1 (a683)) -> (c3_1 (a683)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a716))/\((c2_1 (a716))/\(~(c3_1 (a716))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H14d zenon_H14c zenon_H145 zenon_H8d zenon_H8c zenon_H8b zenon_H2bf zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H29f zenon_H29e zenon_H2a0 zenon_He6 zenon_Haf zenon_H187 zenon_H186 zenon_H185 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H22f zenon_Hb6. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.86/1.01 apply (zenon_L515_); trivial. % 0.86/1.01 apply (zenon_L463_); trivial. % 0.86/1.01 apply (zenon_L495_); trivial. % 0.86/1.01 (* end of lemma zenon_L696_ *) % 0.86/1.01 assert (zenon_L697_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c3_1 (a679)) -> (c1_1 (a679)) -> (~(c0_1 (a679))) -> (c1_1 (a668)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (~(c3_1 (a668))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1a5 zenon_H220 zenon_H21f zenon_H21e zenon_H2c4 zenon_H10a zenon_H2c3 zenon_H10 zenon_H43. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H184 | zenon_intro zenon_H1a6 ]. % 0.86/1.01 apply (zenon_L192_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H9d | zenon_intro zenon_H44 ]. % 0.86/1.01 apply (zenon_L580_); trivial. % 0.86/1.01 exact (zenon_H43 zenon_H44). % 0.86/1.01 (* end of lemma zenon_L697_ *) % 0.86/1.01 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> False). % 0.86/1.01 do 0 intro. intros zenon_H14d zenon_H249 zenon_H43 zenon_H2c3 zenon_H2c4 zenon_H21e zenon_H21f zenon_H220 zenon_H1a5 zenon_H237 zenon_H238 zenon_H239. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H10a | zenon_intro zenon_H24a ]. % 0.86/1.01 apply (zenon_L697_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H13b | zenon_intro zenon_H1f4 ]. % 0.86/1.01 apply (zenon_L87_); trivial. % 0.86/1.01 apply (zenon_L239_); trivial. % 0.86/1.01 (* end of lemma zenon_L698_ *) % 0.86/1.01 assert (zenon_L699_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> (~(hskp13)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H150 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H21e zenon_H21f zenon_H220 zenon_H2c3 zenon_H2c4 zenon_H43 zenon_H1a5 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H160 zenon_H2bd. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_L698_); trivial. % 0.86/1.01 (* end of lemma zenon_L699_ *) % 0.86/1.01 assert (zenon_L700_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a675)) -> (c1_1 (a675)) -> (~(c2_1 (a675))) -> (~(c0_1 (a679))) -> (c1_1 (a679)) -> (c3_1 (a679)) -> (~(c3_1 (a668))) -> (c1_1 (a668)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a669))) -> (~(c2_1 (a669))) -> (c0_1 (a669)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (~(c0_1 (a670))) -> (~(c1_1 (a670))) -> (c3_1 (a670)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H1aa zenon_H150 zenon_H249 zenon_H239 zenon_H238 zenon_H237 zenon_H21e zenon_H21f zenon_H220 zenon_H2c3 zenon_H2c4 zenon_H1a5 zenon_H10 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bd zenon_H29f zenon_H29e zenon_H2a0 zenon_H1 zenon_H104 zenon_H177. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L699_); trivial. % 0.86/1.01 apply (zenon_L439_); trivial. % 0.86/1.01 apply (zenon_L568_); trivial. % 0.86/1.01 (* end of lemma zenon_L700_ *) % 0.86/1.01 assert (zenon_L701_ : ((ndr1_0)/\((c1_1 (a679))/\((c3_1 (a679))/\(~(c0_1 (a679)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a683))/\((c3_1 (a683))/\(~(c2_1 (a683))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/(forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((~(c0_1 X15))\/(~(c3_1 X15)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a702))/\((c3_1 (a702))/\(~(c1_1 (a702))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp11))) -> (c3_1 (a670)) -> (~(c1_1 (a670))) -> (~(c0_1 (a670))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(~(c0_1 X79))))))\/((hskp20)\/(hskp13))) -> (c0_1 (a669)) -> (~(c2_1 (a669))) -> (~(c1_1 (a669))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c3_1 X14))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c3_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp16))) -> (c1_1 (a668)) -> (~(c3_1 (a668))) -> (~(c2_1 (a675))) -> (c1_1 (a675)) -> (c3_1 (a675)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall V : zenon_U, ((ndr1_0)->((c2_1 V)\/((~(c0_1 V))\/(~(c1_1 V))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c1_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a711))/\((c1_1 (a711))/\(~(c2_1 (a711))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a688))/\((c1_1 (a688))/\(~(c3_1 (a688))))))) -> False). % 0.86/1.01 do 0 intro. intros zenon_H259 zenon_H218 zenon_H22f zenon_H177 zenon_H104 zenon_H2a0 zenon_H29e zenon_H29f zenon_H2bd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a5 zenon_H2c4 zenon_H2c3 zenon_H237 zenon_H238 zenon_H239 zenon_H249 zenon_H150 zenon_H1aa. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L700_); trivial. % 0.86/1.01 apply (zenon_L451_); trivial. % 0.86/1.01 (* end of lemma zenon_L701_ *) % 0.86/1.01 apply NNPP. intro zenon_G. % 0.86/1.01 apply zenon_G. zenon_intro zenon_H2dd. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e7. zenon_intro zenon_H2e6. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H28a. zenon_intro zenon_H2ea. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H28b. zenon_intro zenon_H2eb. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H258. zenon_intro zenon_H2ec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H233. zenon_intro zenon_H2ed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H21d. zenon_intro zenon_H2ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H218. zenon_intro zenon_H2ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H1c1. zenon_intro zenon_H2f0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1aa. zenon_intro zenon_H2f1. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1ab. zenon_intro zenon_H2f2. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H17a. zenon_intro zenon_H2f3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H177. zenon_intro zenon_H2f4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H216. zenon_intro zenon_H2f5. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a2. zenon_intro zenon_H2f6. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_Hef. zenon_intro zenon_H2f7. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H150. zenon_intro zenon_H2f8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H14c. zenon_intro zenon_H2f9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hb6. zenon_intro zenon_H2fa. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H65. zenon_intro zenon_H2fb. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H4e. zenon_intro zenon_H2fc. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2fe. zenon_intro zenon_H2fd. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H11c. zenon_intro zenon_H2ff. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H24. zenon_intro zenon_H300. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hb7. zenon_intro zenon_H301. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H4b. zenon_intro zenon_H302. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H89. zenon_intro zenon_H303. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H307. zenon_intro zenon_H306. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H309. zenon_intro zenon_H308. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H256. zenon_intro zenon_H30e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H22d. zenon_intro zenon_H30f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H219. zenon_intro zenon_H310. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H1f2. zenon_intro zenon_H311. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H1d5. zenon_intro zenon_H312. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H170. zenon_intro zenon_H313. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H22f. zenon_intro zenon_H314. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H104. zenon_intro zenon_H315. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H288. zenon_intro zenon_H316. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Heb. zenon_intro zenon_H317. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H272. zenon_intro zenon_H318. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H268. zenon_intro zenon_H319. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H266. zenon_intro zenon_H31a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H227. zenon_intro zenon_H31b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H22b. zenon_intro zenon_H31c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H211. zenon_intro zenon_H31d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_Hdc. zenon_intro zenon_H31e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H117. zenon_intro zenon_H321. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H249. zenon_intro zenon_H322. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H1b8. zenon_intro zenon_H323. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H205. zenon_intro zenon_H326. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2cd. zenon_intro zenon_H327. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H12b. zenon_intro zenon_H328. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H171. zenon_intro zenon_H329. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H24d. zenon_intro zenon_H32a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hd2. zenon_intro zenon_H32b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H145. zenon_intro zenon_H32c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_Hb2. zenon_intro zenon_H32d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_Had. zenon_intro zenon_H32e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H19d. zenon_intro zenon_H32f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1a5. zenon_intro zenon_H330. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H203. zenon_intro zenon_H331. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H66. zenon_intro zenon_H334. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H336. zenon_intro zenon_H335. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H338. zenon_intro zenon_H337. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H2bb. zenon_intro zenon_H339. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H2bd. zenon_intro zenon_H33a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33c. zenon_intro zenon_H33b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H2bf. zenon_intro zenon_H33d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H2b9. zenon_intro zenon_H33e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_He6. zenon_intro zenon_H33f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_Hc7. zenon_intro zenon_H340. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H342. zenon_intro zenon_H341. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H1fc. zenon_intro zenon_H343. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H146. zenon_intro zenon_H344. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H12f. zenon_intro zenon_H345. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H35. zenon_intro zenon_H346. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H163. zenon_intro zenon_H347. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1e8. zenon_intro zenon_H348. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H102. zenon_intro zenon_H34b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H5b. zenon_intro zenon_H34c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H2cb. zenon_intro zenon_H34d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H34f. zenon_intro zenon_H34e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H240. zenon_intro zenon_H350. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H24f. zenon_intro zenon_H351. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H229. zenon_intro zenon_H352. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2db. zenon_intro zenon_H353. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H16. zenon_intro zenon_H356. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H86. zenon_intro zenon_H357. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H46. zenon_intro zenon_H358. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H25. zenon_intro zenon_H359. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H79. zenon_intro zenon_H35a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Hbb. zenon_intro zenon_H35b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H108. zenon_intro zenon_H35e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H7. zenon_intro zenon_H35f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H361. zenon_intro zenon_H360. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H73. zenon_intro zenon_H362. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H71. zenon_intro zenon_H363. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H6f | zenon_intro zenon_H364 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H129 | zenon_intro zenon_H365 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H5 | zenon_intro zenon_H366 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L28_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_L47_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H10. zenon_intro zenon_H1a0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_Hc0. zenon_intro zenon_H1a1. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.86/1.01 apply (zenon_L61_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_L77_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.01 apply (zenon_L81_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_L100_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_L109_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_L136_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_L154_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_L160_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_L191_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_L238_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_L301_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H25d. zenon_intro zenon_H29d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.86/1.01 apply (zenon_L399_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_L410_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L217_); trivial. % 0.86/1.01 apply (zenon_L413_); trivial. % 0.86/1.01 apply (zenon_L416_); trivial. % 0.86/1.01 apply (zenon_L418_); trivial. % 0.86/1.01 apply (zenon_L426_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H10. zenon_intro zenon_H36a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2a0. zenon_intro zenon_H36b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L440_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L441_); trivial. % 0.86/1.01 apply (zenon_L127_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L443_); trivial. % 0.86/1.01 apply (zenon_L96_); trivial. % 0.86/1.01 apply (zenon_L444_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L257_); trivial. % 0.86/1.01 apply (zenon_L449_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L450_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L225_); trivial. % 0.86/1.01 apply (zenon_L439_); trivial. % 0.86/1.01 apply (zenon_L451_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L452_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L148_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_L264_); trivial. % 0.86/1.01 apply (zenon_L455_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L457_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H10. zenon_intro zenon_H178. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H120. zenon_intro zenon_H179. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L148_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L12_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H10. zenon_intro zenon_H4c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2a. zenon_intro zenon_H4d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H28. zenon_intro zenon_H29. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L240_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H77 | zenon_intro zenon_H85 ]. % 0.86/1.01 apply (zenon_L68_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H10. zenon_intro zenon_H87. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H7c. zenon_intro zenon_H88. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7d. zenon_intro zenon_H7e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H167 | zenon_intro zenon_H21c ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.86/1.01 apply (zenon_L458_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H289 ]. % 0.86/1.01 apply (zenon_L432_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H13b | zenon_intro zenon_H7b ]. % 0.86/1.01 apply (zenon_L245_); trivial. % 0.86/1.01 apply (zenon_L37_); trivial. % 0.86/1.01 apply (zenon_L459_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f4 ]. % 0.86/1.01 apply (zenon_L13_); trivial. % 0.86/1.01 apply (zenon_L460_); trivial. % 0.86/1.01 apply (zenon_L462_); trivial. % 0.86/1.01 apply (zenon_L456_); trivial. % 0.86/1.01 apply (zenon_L464_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L450_); trivial. % 0.86/1.01 apply (zenon_L468_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H25d. zenon_intro zenon_H29d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H270 | zenon_intro zenon_H28c ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L469_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L449_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L450_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L469_); trivial. % 0.86/1.01 apply (zenon_L451_); trivial. % 0.86/1.01 apply (zenon_L467_); trivial. % 0.86/1.01 apply (zenon_L319_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L452_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L473_); trivial. % 0.86/1.01 apply (zenon_L464_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L475_); trivial. % 0.86/1.01 apply (zenon_L190_); trivial. % 0.86/1.01 apply (zenon_L468_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H10. zenon_intro zenon_H290. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H283. zenon_intro zenon_H291. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H275. zenon_intro zenon_H274. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L476_); trivial. % 0.86/1.01 apply (zenon_L485_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L486_); trivial. % 0.86/1.01 apply (zenon_L487_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L401_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L488_); trivial. % 0.86/1.01 apply (zenon_L169_); trivial. % 0.86/1.01 apply (zenon_L489_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H10. zenon_intro zenon_H36c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H2b2. zenon_intro zenon_H36d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H2b0. zenon_intro zenon_H2b1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H5 | zenon_intro zenon_H366 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L498_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L493_); trivial. % 0.86/1.01 apply (zenon_L102_); trivial. % 0.86/1.01 apply (zenon_L243_); trivial. % 0.86/1.01 apply (zenon_L108_); trivial. % 0.86/1.01 apply (zenon_L500_); trivial. % 0.86/1.01 apply (zenon_L313_); trivial. % 0.86/1.01 apply (zenon_L510_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L498_); trivial. % 0.86/1.01 apply (zenon_L514_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L493_); trivial. % 0.86/1.01 apply (zenon_L518_); trivial. % 0.86/1.01 apply (zenon_L162_); trivial. % 0.86/1.01 apply (zenon_L519_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L520_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L522_); trivial. % 0.86/1.01 apply (zenon_L529_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L497_); trivial. % 0.86/1.01 apply (zenon_L283_); trivial. % 0.86/1.01 apply (zenon_L280_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L513_); trivial. % 0.86/1.01 apply (zenon_L280_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L532_); trivial. % 0.86/1.01 apply (zenon_L519_); trivial. % 0.86/1.01 apply (zenon_L534_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L541_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L520_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L543_); trivial. % 0.86/1.01 apply (zenon_L533_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_L544_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L520_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L522_); trivial. % 0.86/1.01 apply (zenon_L547_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_L534_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L417_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L415_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L543_); trivial. % 0.86/1.01 apply (zenon_L424_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H25d. zenon_intro zenon_H29d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H270 | zenon_intro zenon_H28c ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_L544_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L419_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L520_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_L545_); trivial. % 0.86/1.01 apply (zenon_L318_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_L548_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L425_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L415_); trivial. % 0.86/1.01 apply (zenon_L474_); trivial. % 0.86/1.01 apply (zenon_L560_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H10. zenon_intro zenon_H36a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2a0. zenon_intro zenon_H36b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_L571_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L573_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L572_); trivial. % 0.86/1.01 apply (zenon_L534_); trivial. % 0.86/1.01 apply (zenon_L468_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H10. zenon_intro zenon_H36e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H2c4. zenon_intro zenon_H36f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H129 | zenon_intro zenon_H365 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H5 | zenon_intro zenon_H366 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L28_); trivial. % 0.86/1.01 apply (zenon_L576_); trivial. % 0.86/1.01 apply (zenon_L577_); trivial. % 0.86/1.01 apply (zenon_L243_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L121_); trivial. % 0.86/1.01 apply (zenon_L579_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L584_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L457_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L588_); trivial. % 0.86/1.01 apply (zenon_L576_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L591_); trivial. % 0.86/1.01 apply (zenon_L592_); trivial. % 0.86/1.01 apply (zenon_L190_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L198_); trivial. % 0.86/1.01 apply (zenon_L579_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L584_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_L200_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_L203_); trivial. % 0.86/1.01 apply (zenon_L456_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L595_); trivial. % 0.86/1.01 apply (zenon_L597_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L602_); trivial. % 0.86/1.01 apply (zenon_L243_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L598_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_L22_); trivial. % 0.86/1.01 apply (zenon_L603_); trivial. % 0.86/1.01 apply (zenon_L119_); trivial. % 0.86/1.01 apply (zenon_L120_); trivial. % 0.86/1.01 apply (zenon_L579_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L602_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L472_); trivial. % 0.86/1.01 apply (zenon_L601_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L598_); trivial. % 0.86/1.01 apply (zenon_L605_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L262_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_L264_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.86/1.01 apply (zenon_L187_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.86/1.01 apply (zenon_L606_); trivial. % 0.86/1.01 apply (zenon_L137_); trivial. % 0.86/1.01 apply (zenon_L84_); trivial. % 0.86/1.01 apply (zenon_L605_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hd | zenon_intro zenon_H19f ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L598_); trivial. % 0.86/1.01 apply (zenon_L610_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L262_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_L273_); trivial. % 0.86/1.01 apply (zenon_L85_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_L273_); trivial. % 0.86/1.01 apply (zenon_L603_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L611_); trivial. % 0.86/1.01 apply (zenon_L612_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H25d. zenon_intro zenon_H29d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H270 | zenon_intro zenon_H28c ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_L144_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H10. zenon_intro zenon_H11a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10d. zenon_intro zenon_H11b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L304_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H25c | zenon_intro zenon_H273 ]. % 0.86/1.01 apply (zenon_L302_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H207 | zenon_intro zenon_H271 ]. % 0.86/1.01 apply (zenon_L615_); trivial. % 0.86/1.01 exact (zenon_H270 zenon_H271). % 0.86/1.01 apply (zenon_L84_); trivial. % 0.86/1.01 apply (zenon_L85_); trivial. % 0.86/1.01 apply (zenon_L251_); trivial. % 0.86/1.01 apply (zenon_L102_); trivial. % 0.86/1.01 apply (zenon_L243_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L616_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L617_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L588_); trivial. % 0.86/1.01 apply (zenon_L305_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L591_); trivial. % 0.86/1.01 apply (zenon_L592_); trivial. % 0.86/1.01 apply (zenon_L190_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L620_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L618_); trivial. % 0.86/1.01 apply (zenon_L223_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L324_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L594_); trivial. % 0.86/1.01 apply (zenon_L223_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L597_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L622_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L624_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L626_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L629_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L611_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L630_); trivial. % 0.86/1.01 apply (zenon_L327_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L596_); trivial. % 0.86/1.01 apply (zenon_L300_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H10. zenon_intro zenon_H290. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H283. zenon_intro zenon_H291. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H275. zenon_intro zenon_H274. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L636_); trivial. % 0.86/1.01 apply (zenon_L644_); trivial. % 0.86/1.01 apply (zenon_L645_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L647_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L620_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L649_); trivial. % 0.86/1.01 apply (zenon_L223_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_L381_); trivial. % 0.86/1.01 apply (zenon_L650_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L628_); trivial. % 0.86/1.01 apply (zenon_L651_); trivial. % 0.86/1.01 apply (zenon_L644_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L628_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L481_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_L480_); trivial. % 0.86/1.01 apply (zenon_L535_); trivial. % 0.86/1.01 apply (zenon_L105_); trivial. % 0.86/1.01 apply (zenon_L338_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L303_); trivial. % 0.86/1.01 apply (zenon_L654_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L634_); trivial. % 0.86/1.01 apply (zenon_L280_); trivial. % 0.86/1.01 apply (zenon_L396_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L630_); trivial. % 0.86/1.01 apply (zenon_L381_); trivial. % 0.86/1.01 apply (zenon_L650_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H13 | zenon_intro zenon_H29b ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_L410_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_L595_); trivial. % 0.86/1.01 apply (zenon_L416_); trivial. % 0.86/1.01 apply (zenon_L418_); trivial. % 0.86/1.01 apply (zenon_L426_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H10. zenon_intro zenon_H36a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2a0. zenon_intro zenon_H36b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L440_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L441_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L657_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L440_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L436_); trivial. % 0.86/1.01 apply (zenon_L590_); trivial. % 0.86/1.01 apply (zenon_L189_); trivial. % 0.86/1.01 apply (zenon_L592_); trivial. % 0.86/1.01 apply (zenon_L658_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L659_); trivial. % 0.86/1.01 apply (zenon_L439_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L451_); trivial. % 0.86/1.01 apply (zenon_L660_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L452_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L656_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.86/1.01 apply (zenon_L432_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.86/1.01 apply (zenon_L606_); trivial. % 0.86/1.01 apply (zenon_L137_); trivial. % 0.86/1.01 apply (zenon_L84_); trivial. % 0.86/1.01 apply (zenon_L605_); trivial. % 0.86/1.01 apply (zenon_L241_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L661_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_L663_); trivial. % 0.86/1.01 apply (zenon_L468_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_L664_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L401_); trivial. % 0.86/1.01 apply (zenon_L663_); trivial. % 0.86/1.01 apply (zenon_L489_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H10. zenon_intro zenon_H36c. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H2b2. zenon_intro zenon_H36d. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H2b0. zenon_intro zenon_H2b1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H5 | zenon_intro zenon_H366 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H193 | zenon_intro zenon_H367 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L665_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.86/1.01 apply (zenon_L515_); trivial. % 0.86/1.01 apply (zenon_L668_); trivial. % 0.86/1.01 apply (zenon_L495_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L665_); trivial. % 0.86/1.01 apply (zenon_L102_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L592_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L509_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L582_); trivial. % 0.86/1.01 apply (zenon_L523_); trivial. % 0.86/1.01 apply (zenon_L518_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L524_); trivial. % 0.86/1.01 apply (zenon_L669_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L596_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L520_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L671_); trivial. % 0.86/1.01 apply (zenon_L593_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L511_); trivial. % 0.86/1.01 apply (zenon_L669_); trivial. % 0.86/1.01 apply (zenon_L593_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L672_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.86/1.01 apply (zenon_L515_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H106 | zenon_intro zenon_H119 ]. % 0.86/1.01 apply (zenon_L673_); trivial. % 0.86/1.01 apply (zenon_L535_); trivial. % 0.86/1.01 apply (zenon_L495_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L280_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L674_); trivial. % 0.86/1.01 apply (zenon_L280_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L672_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H13d. zenon_intro zenon_H14f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H13e. zenon_intro zenon_H13c. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H3 | zenon_intro zenon_H149 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb8 ]. % 0.86/1.01 apply (zenon_L515_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_H10. zenon_intro zenon_Hb9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_H95. zenon_intro zenon_Hba. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H96. zenon_intro zenon_H9e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L240_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H10. zenon_intro zenon_Hb3. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H230 ]. % 0.86/1.01 apply (zenon_L675_); trivial. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H184 | zenon_intro zenon_Hd3 ]. % 0.86/1.01 apply (zenon_L258_); trivial. % 0.86/1.01 apply (zenon_L609_); trivial. % 0.86/1.01 apply (zenon_L495_); trivial. % 0.86/1.01 apply (zenon_L676_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H201 | zenon_intro zenon_H213 ]. % 0.86/1.01 apply (zenon_L677_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H10. zenon_intro zenon_H214. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H20a. zenon_intro zenon_H215. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H208. zenon_intro zenon_H209. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_L681_); trivial. % 0.86/1.01 apply (zenon_L505_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L674_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H10. zenon_intro zenon_H1ad. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ad). zenon_intro zenon_H154. zenon_intro zenon_H1ae. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H151. zenon_intro zenon_H152. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H75 | zenon_intro zenon_Hb1 ]. % 0.86/1.01 apply (zenon_L132_); trivial. % 0.86/1.01 apply (zenon_L279_); trivial. % 0.86/1.01 apply (zenon_L503_); trivial. % 0.86/1.01 apply (zenon_L102_); trivial. % 0.86/1.01 apply (zenon_L682_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L592_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L684_); trivial. % 0.86/1.01 apply (zenon_L299_); trivial. % 0.86/1.01 apply (zenon_L394_); trivial. % 0.86/1.01 apply (zenon_L685_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H10. zenon_intro zenon_H368. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H294. zenon_intro zenon_H369. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H292. zenon_intro zenon_H293. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_L170_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_H10. zenon_intro zenon_H164. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Hf9. zenon_intro zenon_H165. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H41 | zenon_intro zenon_H67 ]. % 0.86/1.01 apply (zenon_L173_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H10. zenon_intro zenon_H68. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H51. zenon_intro zenon_H69. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L25_); trivial. % 0.86/1.01 apply (zenon_L687_); trivial. % 0.86/1.01 apply (zenon_L76_); trivial. % 0.86/1.01 apply (zenon_L407_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L689_); trivial. % 0.86/1.01 apply (zenon_L518_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L690_); trivial. % 0.86/1.01 apply (zenon_L691_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H10. zenon_intro zenon_H25a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H21f. zenon_intro zenon_H25b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H220. zenon_intro zenon_H21e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L415_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_L671_); trivial. % 0.86/1.01 apply (zenon_L411_); trivial. % 0.86/1.01 apply (zenon_L168_); trivial. % 0.86/1.01 apply (zenon_L547_); trivial. % 0.86/1.01 apply (zenon_L153_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_L491_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L402_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L693_); trivial. % 0.86/1.01 apply (zenon_L299_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L421_); trivial. % 0.86/1.01 apply (zenon_L299_); trivial. % 0.86/1.01 apply (zenon_L695_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H10. zenon_intro zenon_H36a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2a0. zenon_intro zenon_H36b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_Hda | zenon_intro zenon_H28d ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_L561_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H43 | zenon_intro zenon_H162 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_Hb | zenon_intro zenon_H4a ]. % 0.86/1.01 apply (zenon_L430_); trivial. % 0.86/1.01 apply (zenon_L503_); trivial. % 0.86/1.01 apply (zenon_L102_); trivial. % 0.86/1.01 apply (zenon_L439_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L657_); trivial. % 0.86/1.01 apply (zenon_L660_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H10. zenon_intro zenon_H28e. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H238. zenon_intro zenon_H28f. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H239. zenon_intro zenon_H237. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H6d | zenon_intro zenon_H259 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H11 | zenon_intro zenon_H234 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L452_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H10. zenon_intro zenon_H1ee. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1b0. zenon_intro zenon_H1ef. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_He8 | zenon_intro zenon_H1be ]. % 0.86/1.01 apply (zenon_L656_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H10. zenon_intro zenon_H1bf. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H186. zenon_intro zenon_H1c0. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H185. zenon_intro zenon_H187. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H160 | zenon_intro zenon_H1a7 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H33 | zenon_intro zenon_H176 ]. % 0.86/1.01 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H59 | zenon_intro zenon_Hea ]. % 0.86/1.01 apply (zenon_L672_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H10. zenon_intro zenon_Hec. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H8c. zenon_intro zenon_Hed. % 0.86/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H12d | zenon_intro zenon_H14d ]. % 0.86/1.01 apply (zenon_L494_); trivial. % 0.86/1.01 apply (zenon_L696_); trivial. % 0.86/1.01 apply (zenon_L578_); trivial. % 0.86/1.01 apply (zenon_L661_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H10. zenon_intro zenon_H1a8. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H17c. zenon_intro zenon_H1a9. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H17d. zenon_intro zenon_H17b. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H127 | zenon_intro zenon_H1ac ]. % 0.86/1.01 apply (zenon_L674_); trivial. % 0.86/1.01 apply (zenon_L661_); trivial. % 0.86/1.01 apply (zenon_L276_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H10. zenon_intro zenon_H235. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H1d9. zenon_intro zenon_H236. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1d7. zenon_intro zenon_H1d8. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Haf | zenon_intro zenon_H217 ]. % 0.86/1.01 apply (zenon_L662_); trivial. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H10. zenon_intro zenon_H21a. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1c4. zenon_intro zenon_H21b. % 0.86/1.01 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1ce. zenon_intro zenon_H1c2. % 0.86/1.01 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1 | zenon_intro zenon_H1ed ]. % 0.86/1.01 apply (zenon_L466_); trivial. % 0.86/1.01 apply (zenon_L685_); trivial. % 0.86/1.01 apply (zenon_L701_); trivial. % 0.86/1.01 Qed. % 0.86/1.01 % SZS output end Proof % 0.86/1.01 (* END-PROOF *) % 0.86/1.01 nodes searched: 31739 % 0.86/1.01 max branch formulas: 427 % 0.86/1.01 proof nodes created: 4590 % 0.86/1.01 formulas created: 34659 % 0.86/1.01 %------------------------------------------------------------------------------