%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN498+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 13:53:37 EDT 2022 % Result : Theorem 0.67s 0.85s % Output : Proof 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYN498+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.12 % 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 02:18:18 EDT 2022 % 0.12/0.33 % CPUTime : % 0.67/0.85 (* PROOF-FOUND *) % 0.67/0.85 % SZS status Theorem % 0.67/0.85 (* BEGIN-PROOF *) % 0.67/0.85 % SZS output start Proof % 0.67/0.85 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1))/\((c2_1 (a1))/\(~(c3_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((~(c0_1 (a2)))/\((~(c2_1 (a2)))/\(~(c3_1 (a2)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a3))/\((c3_1 (a3))/\(~(c2_1 (a3)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a7))/\((c3_1 (a7))/\(~(c2_1 (a7)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a9))/\((~(c2_1 (a9)))/\(~(c3_1 (a9)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))))/\(((~(hskp15))\/((ndr1_0)/\((~(c0_1 (a24)))/\((~(c1_1 (a24)))/\(~(c2_1 (a24)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a31))/\((~(c0_1 (a31)))/\(~(c3_1 (a31)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a45))/\((~(c1_1 (a45)))/\(~(c2_1 (a45)))))))/\(((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp0)\/(hskp1)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp6)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp5)\/(hskp15)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((c3_1 X47)\/(~(c1_1 X47))))))\/((hskp16)\/(hskp17)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((hskp3)\/(hskp18)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((hskp11)\/(hskp15)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp23)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp13)\/(hskp18)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp18)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp9)\/(hskp15)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp4)\/(hskp15)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp18)\/(hskp23)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp21)\/(hskp4)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp5)\/(hskp25)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp28)\/(hskp0)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6)))/\(((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7)))/\(((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp22)\/(hskp0)))/\(((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp5)\/(hskp25)))/\(((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24)))/\(((hskp29)\/((hskp26)\/(hskp14)))/\(((hskp27)\/((hskp13)\/(hskp8)))/\(((hskp21)\/((hskp13)\/(hskp24)))/\(((hskp9)\/((hskp2)\/(hskp17)))/\(((hskp16)\/((hskp4)\/(hskp2)))/\(((hskp5)\/((hskp25)\/(hskp28)))/\(((hskp4)\/((hskp28)\/(hskp19)))/\((hskp28)\/((hskp20)\/(hskp1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.67/0.85 Proof. % 0.67/0.85 assert (zenon_L1_ : (~(hskp16)) -> (hskp16) -> False). % 0.67/0.85 do 0 intro. intros zenon_H1 zenon_H2. % 0.67/0.85 exact (zenon_H1 zenon_H2). % 0.67/0.85 (* end of lemma zenon_L1_ *) % 0.67/0.85 assert (zenon_L2_ : (~(hskp4)) -> (hskp4) -> False). % 0.67/0.85 do 0 intro. intros zenon_H3 zenon_H4. % 0.67/0.85 exact (zenon_H3 zenon_H4). % 0.67/0.85 (* end of lemma zenon_L2_ *) % 0.67/0.85 assert (zenon_L3_ : (~(hskp2)) -> (hskp2) -> False). % 0.67/0.85 do 0 intro. intros zenon_H5 zenon_H6. % 0.67/0.85 exact (zenon_H5 zenon_H6). % 0.67/0.85 (* end of lemma zenon_L3_ *) % 0.67/0.85 assert (zenon_L4_ : ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp16)) -> (~(hskp4)) -> (~(hskp2)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.67/0.85 exact (zenon_H1 zenon_H2). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.67/0.85 exact (zenon_H3 zenon_H4). % 0.67/0.85 exact (zenon_H5 zenon_H6). % 0.67/0.85 (* end of lemma zenon_L4_ *) % 0.67/0.85 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.67/0.85 do 0 intro. intros zenon_H9 zenon_Ha. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 (* end of lemma zenon_L5_ *) % 0.67/0.85 assert (zenon_L6_ : (forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.67/0.85 generalize (zenon_Hb (a27)). zenon_intro zenon_Hf. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.67/0.85 exact (zenon_Hc zenon_H12). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.67/0.85 exact (zenon_H14 zenon_Hd). % 0.67/0.85 exact (zenon_H13 zenon_He). % 0.67/0.85 (* end of lemma zenon_L6_ *) % 0.67/0.85 assert (zenon_L7_ : (~(hskp13)) -> (hskp13) -> False). % 0.67/0.85 do 0 intro. intros zenon_H15 zenon_H16. % 0.67/0.85 exact (zenon_H15 zenon_H16). % 0.67/0.85 (* end of lemma zenon_L7_ *) % 0.67/0.85 assert (zenon_L8_ : (~(hskp24)) -> (hskp24) -> False). % 0.67/0.85 do 0 intro. intros zenon_H17 zenon_H18. % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 (* end of lemma zenon_L8_ *) % 0.67/0.85 assert (zenon_L9_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp24)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.67/0.85 apply (zenon_L6_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.67/0.85 exact (zenon_H15 zenon_H16). % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 (* end of lemma zenon_L9_ *) % 0.67/0.85 assert (zenon_L10_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a58))) -> (~(c1_1 (a58))) -> (c2_1 (a58)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e. % 0.67/0.85 generalize (zenon_H1b (a58)). zenon_intro zenon_H1f. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H9 | zenon_intro zenon_H20 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.67/0.85 exact (zenon_H1c zenon_H22). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.67/0.85 exact (zenon_H1d zenon_H24). % 0.67/0.85 exact (zenon_H23 zenon_H1e). % 0.67/0.85 (* end of lemma zenon_L10_ *) % 0.67/0.85 assert (zenon_L11_ : (~(hskp3)) -> (hskp3) -> False). % 0.67/0.85 do 0 intro. intros zenon_H25 zenon_H26. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 (* end of lemma zenon_L11_ *) % 0.67/0.85 assert (zenon_L12_ : (~(hskp0)) -> (hskp0) -> False). % 0.67/0.85 do 0 intro. intros zenon_H27 zenon_H28. % 0.67/0.85 exact (zenon_H27 zenon_H28). % 0.67/0.85 (* end of lemma zenon_L12_ *) % 0.67/0.85 assert (zenon_L13_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(hskp0)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H29 zenon_H2a zenon_H25 zenon_H27. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.67/0.85 apply (zenon_L10_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ]. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 exact (zenon_H27 zenon_H28). % 0.67/0.85 (* end of lemma zenon_L13_ *) % 0.67/0.85 assert (zenon_L14_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H19. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.85 apply (zenon_L9_); trivial. % 0.67/0.85 apply (zenon_L13_); trivial. % 0.67/0.85 (* end of lemma zenon_L14_ *) % 0.67/0.85 assert (zenon_L15_ : (forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H2f zenon_Ha zenon_H30 zenon_H31 zenon_H32. % 0.67/0.85 generalize (zenon_H2f (a21)). zenon_intro zenon_H33. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H9 | zenon_intro zenon_H34 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.67/0.85 exact (zenon_H30 zenon_H36). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.67/0.85 exact (zenon_H38 zenon_H31). % 0.67/0.85 exact (zenon_H37 zenon_H32). % 0.67/0.85 (* end of lemma zenon_L15_ *) % 0.67/0.85 assert (zenon_L16_ : (~(hskp20)) -> (hskp20) -> False). % 0.67/0.85 do 0 intro. intros zenon_H39 zenon_H3a. % 0.67/0.85 exact (zenon_H39 zenon_H3a). % 0.67/0.85 (* end of lemma zenon_L16_ *) % 0.67/0.85 assert (zenon_L17_ : ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H3b zenon_He zenon_Hd zenon_Hc zenon_H32 zenon_H31 zenon_H30 zenon_Ha zenon_H39. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_Hb | zenon_intro zenon_H3c ]. % 0.67/0.85 apply (zenon_L6_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H2f | zenon_intro zenon_H3a ]. % 0.67/0.85 apply (zenon_L15_); trivial. % 0.67/0.85 exact (zenon_H39 zenon_H3a). % 0.67/0.85 (* end of lemma zenon_L17_ *) % 0.67/0.85 assert (zenon_L18_ : (~(hskp29)) -> (hskp29) -> False). % 0.67/0.85 do 0 intro. intros zenon_H3d zenon_H3e. % 0.67/0.85 exact (zenon_H3d zenon_H3e). % 0.67/0.85 (* end of lemma zenon_L18_ *) % 0.67/0.85 assert (zenon_L19_ : (~(hskp19)) -> (hskp19) -> False). % 0.67/0.85 do 0 intro. intros zenon_H3f zenon_H40. % 0.67/0.85 exact (zenon_H3f zenon_H40). % 0.67/0.85 (* end of lemma zenon_L19_ *) % 0.67/0.85 assert (zenon_L20_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (c3_1 (a37)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp19)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H41 zenon_H42 zenon_H43 zenon_H44 zenon_Ha zenon_H3d zenon_H3f. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.67/0.85 generalize (zenon_H46 (a37)). zenon_intro zenon_H47. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H9 | zenon_intro zenon_H48 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.67/0.85 exact (zenon_H44 zenon_H4a). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.67/0.85 exact (zenon_H4c zenon_H43). % 0.67/0.85 exact (zenon_H4b zenon_H42). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.67/0.85 exact (zenon_H3d zenon_H3e). % 0.67/0.85 exact (zenon_H3f zenon_H40). % 0.67/0.85 (* end of lemma zenon_L20_ *) % 0.67/0.85 assert (zenon_L21_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c0_1 (a35)) -> (c1_1 (a35)) -> (c2_1 (a35)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H4d zenon_Ha zenon_H4e zenon_H4f zenon_H50. % 0.67/0.85 generalize (zenon_H4d (a35)). zenon_intro zenon_H51. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H9 | zenon_intro zenon_H52 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.67/0.85 exact (zenon_H54 zenon_H4e). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.67/0.85 exact (zenon_H56 zenon_H4f). % 0.67/0.85 exact (zenon_H55 zenon_H50). % 0.67/0.85 (* end of lemma zenon_L21_ *) % 0.67/0.85 assert (zenon_L22_ : (~(hskp11)) -> (hskp11) -> False). % 0.67/0.85 do 0 intro. intros zenon_H57 zenon_H58. % 0.67/0.85 exact (zenon_H57 zenon_H58). % 0.67/0.85 (* end of lemma zenon_L22_ *) % 0.67/0.85 assert (zenon_L23_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp19)) -> (~(hskp11)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H59 zenon_H5a zenon_H3f zenon_H57. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H4d | zenon_intro zenon_H5d ]. % 0.67/0.85 apply (zenon_L21_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H40 | zenon_intro zenon_H58 ]. % 0.67/0.85 exact (zenon_H3f zenon_H40). % 0.67/0.85 exact (zenon_H57 zenon_H58). % 0.67/0.85 (* end of lemma zenon_L23_ *) % 0.67/0.85 assert (zenon_L24_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H5e zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.85 apply (zenon_L20_); trivial. % 0.67/0.85 apply (zenon_L23_); trivial. % 0.67/0.85 (* end of lemma zenon_L24_ *) % 0.67/0.85 assert (zenon_L25_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.85 apply (zenon_L17_); trivial. % 0.67/0.85 apply (zenon_L24_); trivial. % 0.67/0.85 (* end of lemma zenon_L25_ *) % 0.67/0.85 assert (zenon_L26_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42. % 0.67/0.85 generalize (zenon_H63 (a37)). zenon_intro zenon_H65. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H65); [ zenon_intro zenon_H9 | zenon_intro zenon_H66 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4c | zenon_intro zenon_H67 ]. % 0.67/0.85 exact (zenon_H4c zenon_H43). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H68 | zenon_intro zenon_H4b ]. % 0.67/0.85 generalize (zenon_H64 (a37)). zenon_intro zenon_H69. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H9 | zenon_intro zenon_H6a ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H4a | zenon_intro zenon_H6b ]. % 0.67/0.85 exact (zenon_H44 zenon_H4a). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6c | zenon_intro zenon_H4b ]. % 0.67/0.85 exact (zenon_H68 zenon_H6c). % 0.67/0.85 exact (zenon_H4b zenon_H42). % 0.67/0.85 exact (zenon_H4b zenon_H42). % 0.67/0.85 (* end of lemma zenon_L26_ *) % 0.67/0.85 assert (zenon_L27_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c1_1 (a37)) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H6d zenon_H42 zenon_H44 zenon_H64 zenon_H43 zenon_Ha zenon_H25 zenon_H17. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.85 apply (zenon_L26_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 (* end of lemma zenon_L27_ *) % 0.67/0.85 assert (zenon_L28_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (c2_1 (a36)) -> (c3_1 (a36)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H6f zenon_Ha zenon_H70 zenon_H71 zenon_H72. % 0.67/0.85 generalize (zenon_H6f (a36)). zenon_intro zenon_H73. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H9 | zenon_intro zenon_H74 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.67/0.85 exact (zenon_H70 zenon_H76). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.67/0.85 exact (zenon_H78 zenon_H71). % 0.67/0.85 exact (zenon_H77 zenon_H72). % 0.67/0.85 (* end of lemma zenon_L28_ *) % 0.67/0.85 assert (zenon_L29_ : (~(hskp10)) -> (hskp10) -> False). % 0.67/0.85 do 0 intro. intros zenon_H79 zenon_H7a. % 0.67/0.85 exact (zenon_H79 zenon_H7a). % 0.67/0.85 (* end of lemma zenon_L29_ *) % 0.67/0.85 assert (zenon_L30_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H7b zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_H72 zenon_H71 zenon_H70 zenon_Ha zenon_H79. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.85 apply (zenon_L27_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.85 apply (zenon_L28_); trivial. % 0.67/0.85 exact (zenon_H79 zenon_H7a). % 0.67/0.85 (* end of lemma zenon_L30_ *) % 0.67/0.85 assert (zenon_L31_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a36))) -> (c2_1 (a36)) -> (c3_1 (a36)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H5e zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H70 zenon_H71 zenon_H72 zenon_H79 zenon_H7b. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.85 apply (zenon_L30_); trivial. % 0.67/0.85 apply (zenon_L13_); trivial. % 0.67/0.85 (* end of lemma zenon_L31_ *) % 0.67/0.85 assert (zenon_L32_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H7d zenon_H62 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.85 apply (zenon_L17_); trivial. % 0.67/0.85 apply (zenon_L31_); trivial. % 0.67/0.85 (* end of lemma zenon_L32_ *) % 0.67/0.85 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H80 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.85 apply (zenon_L25_); trivial. % 0.67/0.85 apply (zenon_L32_); trivial. % 0.67/0.85 (* end of lemma zenon_L33_ *) % 0.67/0.85 assert (zenon_L34_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H84 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3 zenon_H5 zenon_H7. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.85 apply (zenon_L4_); trivial. % 0.67/0.85 apply (zenon_L33_); trivial. % 0.67/0.85 (* end of lemma zenon_L34_ *) % 0.67/0.85 assert (zenon_L35_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H85 zenon_Ha zenon_H86 zenon_H87 zenon_H88. % 0.67/0.85 generalize (zenon_H85 (a19)). zenon_intro zenon_H89. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H89); [ zenon_intro zenon_H9 | zenon_intro zenon_H8a ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 0.67/0.85 exact (zenon_H86 zenon_H8c). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 0.67/0.85 exact (zenon_H87 zenon_H8e). % 0.67/0.85 exact (zenon_H8d zenon_H88). % 0.67/0.85 (* end of lemma zenon_L35_ *) % 0.67/0.85 assert (zenon_L36_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H8f zenon_Ha zenon_H87 zenon_H1b zenon_H86 zenon_H88. % 0.67/0.85 generalize (zenon_H8f (a19)). zenon_intro zenon_H90. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H9 | zenon_intro zenon_H91 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 0.67/0.85 exact (zenon_H87 zenon_H8e). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H93 | zenon_intro zenon_H8d ]. % 0.67/0.85 generalize (zenon_H1b (a19)). zenon_intro zenon_H94. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H94); [ zenon_intro zenon_H9 | zenon_intro zenon_H95 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H8c | zenon_intro zenon_H96 ]. % 0.67/0.85 exact (zenon_H86 zenon_H8c). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H97 | zenon_intro zenon_H8d ]. % 0.67/0.85 exact (zenon_H93 zenon_H97). % 0.67/0.85 exact (zenon_H8d zenon_H88). % 0.67/0.85 exact (zenon_H8d zenon_H88). % 0.67/0.85 (* end of lemma zenon_L36_ *) % 0.67/0.85 assert (zenon_L37_ : (~(hskp6)) -> (hskp6) -> False). % 0.67/0.85 do 0 intro. intros zenon_H98 zenon_H99. % 0.67/0.85 exact (zenon_H98 zenon_H99). % 0.67/0.85 (* end of lemma zenon_L37_ *) % 0.67/0.85 assert (zenon_L38_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H9a zenon_H88 zenon_H86 zenon_H1b zenon_H87 zenon_Ha zenon_H98. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ]. % 0.67/0.85 apply (zenon_L35_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ]. % 0.67/0.85 apply (zenon_L36_); trivial. % 0.67/0.85 exact (zenon_H98 zenon_H99). % 0.67/0.85 (* end of lemma zenon_L38_ *) % 0.67/0.85 assert (zenon_L39_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp6)) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp3)) -> (~(hskp0)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H2a zenon_H98 zenon_Ha zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_H25 zenon_H27. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.67/0.85 apply (zenon_L38_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ]. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 exact (zenon_H27 zenon_H28). % 0.67/0.85 (* end of lemma zenon_L39_ *) % 0.67/0.85 assert (zenon_L40_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (c2_1 (a18)) -> (c3_1 (a18)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_H9d zenon_H9e zenon_H9f. % 0.67/0.85 generalize (zenon_H9c (a18)). zenon_intro zenon_Ha0. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Ha0); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha1 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.67/0.85 exact (zenon_H9d zenon_Ha3). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ]. % 0.67/0.85 exact (zenon_Ha5 zenon_H9e). % 0.67/0.85 exact (zenon_Ha4 zenon_H9f). % 0.67/0.85 (* end of lemma zenon_L40_ *) % 0.67/0.85 assert (zenon_L41_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c3_1 (a18)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H64 zenon_Ha zenon_H9d zenon_H9c zenon_H9f. % 0.67/0.85 generalize (zenon_H64 (a18)). zenon_intro zenon_Ha6. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha7 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha8 ]. % 0.67/0.85 exact (zenon_H9d zenon_Ha3). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ]. % 0.67/0.85 apply (zenon_L40_); trivial. % 0.67/0.85 exact (zenon_Ha4 zenon_H9f). % 0.67/0.85 (* end of lemma zenon_L41_ *) % 0.67/0.85 assert (zenon_L42_ : (~(hskp21)) -> (hskp21) -> False). % 0.67/0.85 do 0 intro. intros zenon_Ha9 zenon_Haa. % 0.67/0.85 exact (zenon_Ha9 zenon_Haa). % 0.67/0.85 (* end of lemma zenon_L42_ *) % 0.67/0.85 assert (zenon_L43_ : (~(hskp17)) -> (hskp17) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hab zenon_Hac. % 0.67/0.85 exact (zenon_Hab zenon_Hac). % 0.67/0.85 (* end of lemma zenon_L43_ *) % 0.67/0.85 assert (zenon_L44_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Had zenon_H9f zenon_H9d zenon_Ha zenon_H64 zenon_Ha9 zenon_Hab. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ]. % 0.67/0.85 apply (zenon_L41_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ]. % 0.67/0.85 exact (zenon_Ha9 zenon_Haa). % 0.67/0.85 exact (zenon_Hab zenon_Hac). % 0.67/0.85 (* end of lemma zenon_L44_ *) % 0.67/0.85 assert (zenon_L45_ : (~(hskp28)) -> (hskp28) -> False). % 0.67/0.85 do 0 intro. intros zenon_Haf zenon_Hb0. % 0.67/0.85 exact (zenon_Haf zenon_Hb0). % 0.67/0.85 (* end of lemma zenon_L45_ *) % 0.67/0.85 assert (zenon_L46_ : (~(hskp7)) -> (hskp7) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hb1 zenon_Hb2. % 0.67/0.85 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.85 (* end of lemma zenon_L46_ *) % 0.67/0.85 assert (zenon_L47_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (c1_1 (a25)) -> (c2_1 (a25)) -> (c3_1 (a25)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_H4d zenon_Hb3 zenon_Hb4 zenon_Hb5. % 0.67/0.85 generalize (zenon_H9c (a25)). zenon_intro zenon_Hb6. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb7 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.67/0.85 generalize (zenon_H4d (a25)). zenon_intro zenon_Hba. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbb ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.67/0.85 exact (zenon_Hbd zenon_Hb9). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.67/0.85 exact (zenon_Hbf zenon_Hb3). % 0.67/0.85 exact (zenon_Hbe zenon_Hb4). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 0.67/0.85 exact (zenon_Hbe zenon_Hb4). % 0.67/0.85 exact (zenon_Hc0 zenon_Hb5). % 0.67/0.85 (* end of lemma zenon_L47_ *) % 0.67/0.85 assert (zenon_L48_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a25)) -> (c3_1 (a25)) -> (c1_1 (a25)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H9c zenon_Hb4 zenon_Hb5 zenon_Hb3. % 0.67/0.85 generalize (zenon_Hc1 (a25)). zenon_intro zenon_Hc2. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc3 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc4 ]. % 0.67/0.85 generalize (zenon_H9c (a25)). zenon_intro zenon_Hb6. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb7 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.67/0.85 exact (zenon_Hbd zenon_Hb9). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 0.67/0.85 exact (zenon_Hbe zenon_Hb4). % 0.67/0.85 exact (zenon_Hc0 zenon_Hb5). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ]. % 0.67/0.85 exact (zenon_Hbf zenon_Hb3). % 0.67/0.85 exact (zenon_Hc0 zenon_Hb5). % 0.67/0.85 (* end of lemma zenon_L48_ *) % 0.67/0.85 assert (zenon_L49_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a25)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hc5 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H9c zenon_Ha zenon_Hb1. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ]. % 0.67/0.85 apply (zenon_L47_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ]. % 0.67/0.85 apply (zenon_L48_); trivial. % 0.67/0.85 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.85 (* end of lemma zenon_L49_ *) % 0.67/0.85 assert (zenon_L50_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hc7 zenon_Had zenon_Hb1 zenon_Hc5 zenon_Ha9 zenon_Hab. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ]. % 0.67/0.85 apply (zenon_L49_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ]. % 0.67/0.85 exact (zenon_Ha9 zenon_Haa). % 0.67/0.85 exact (zenon_Hab zenon_Hac). % 0.67/0.85 (* end of lemma zenon_L50_ *) % 0.67/0.85 assert (zenon_L51_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hca zenon_Ha zenon_Hcb zenon_Hcc zenon_Hcd. % 0.67/0.85 generalize (zenon_Hca (a38)). zenon_intro zenon_Hce. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcf ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.67/0.85 exact (zenon_Hcb zenon_Hd1). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.67/0.85 exact (zenon_Hd3 zenon_Hcc). % 0.67/0.85 exact (zenon_Hd2 zenon_Hcd). % 0.67/0.85 (* end of lemma zenon_L51_ *) % 0.67/0.85 assert (zenon_L52_ : (~(hskp14)) -> (hskp14) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hd4 zenon_Hd5. % 0.67/0.85 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.85 (* end of lemma zenon_L52_ *) % 0.67/0.85 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hd6 zenon_Hd7 zenon_Hd4 zenon_Hab. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hda ]. % 0.67/0.85 apply (zenon_L51_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hac ]. % 0.67/0.85 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.85 exact (zenon_Hab zenon_Hac). % 0.67/0.85 (* end of lemma zenon_L53_ *) % 0.67/0.85 assert (zenon_L54_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H64 zenon_Ha zenon_Hdb zenon_Hdc zenon_Hdd. % 0.67/0.85 generalize (zenon_H64 (a28)). zenon_intro zenon_Hde. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hde); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdf ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.67/0.85 exact (zenon_Hdb zenon_He1). % 0.67/0.85 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.67/0.85 exact (zenon_Hdc zenon_He3). % 0.67/0.85 exact (zenon_He2 zenon_Hdd). % 0.67/0.85 (* end of lemma zenon_L54_ *) % 0.67/0.85 assert (zenon_L55_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a25)) -> (c2_1 (a25)) -> (c3_1 (a25)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_Hb3 zenon_Hb4 zenon_Hb5. % 0.67/0.85 generalize (zenon_H63 (a25)). zenon_intro zenon_He4. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hb8 ]. % 0.67/0.85 exact (zenon_Hbf zenon_Hb3). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 0.67/0.85 exact (zenon_Hbe zenon_Hb4). % 0.67/0.85 exact (zenon_Hc0 zenon_Hb5). % 0.67/0.85 (* end of lemma zenon_L55_ *) % 0.67/0.85 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hc7 zenon_H6d zenon_H25 zenon_H17. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.85 apply (zenon_L55_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 (* end of lemma zenon_L56_ *) % 0.67/0.85 assert (zenon_L57_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False). % 0.67/0.85 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_Ha zenon_Hdb zenon_Hdc zenon_Hdd zenon_Hb1 zenon_He7. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.85 apply (zenon_L54_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.85 exact (zenon_Haf zenon_Hb0). % 0.67/0.85 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.85 apply (zenon_L56_); trivial. % 0.67/0.85 (* end of lemma zenon_L57_ *) % 0.67/0.85 assert (zenon_L58_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> False). % 0.67/0.85 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hea zenon_Hdc zenon_Hdd. % 0.67/0.85 generalize (zenon_He9 (a28)). zenon_intro zenon_Heb. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hec ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hed | zenon_intro zenon_He0 ]. % 0.67/0.85 generalize (zenon_Hea (a28)). zenon_intro zenon_Hee. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_H9 | zenon_intro zenon_Hef ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf0 ]. % 0.67/0.85 exact (zenon_Hdc zenon_He3). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf1 | zenon_intro zenon_He2 ]. % 0.67/0.85 exact (zenon_Hf1 zenon_Hed). % 0.67/0.85 exact (zenon_He2 zenon_Hdd). % 0.67/0.85 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.67/0.85 exact (zenon_Hdc zenon_He3). % 0.67/0.85 exact (zenon_He2 zenon_Hdd). % 0.67/0.85 (* end of lemma zenon_L58_ *) % 0.67/0.85 assert (zenon_L59_ : (~(hskp1)) -> (hskp1) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hf2 zenon_Hf3. % 0.67/0.85 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.85 (* end of lemma zenon_L59_ *) % 0.67/0.85 assert (zenon_L60_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_Hf2 zenon_Hdc zenon_Hdd zenon_Hf5 zenon_H5. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.85 apply (zenon_L10_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.85 apply (zenon_L10_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.85 apply (zenon_L58_); trivial. % 0.67/0.85 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.85 exact (zenon_H5 zenon_H6). % 0.67/0.85 (* end of lemma zenon_L60_ *) % 0.67/0.85 assert (zenon_L61_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H9c zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa. % 0.67/0.85 generalize (zenon_H9c (a22)). zenon_intro zenon_Hfb. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 0.67/0.85 exact (zenon_Hf8 zenon_Hfe). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.67/0.85 exact (zenon_H100 zenon_Hf9). % 0.67/0.85 exact (zenon_Hff zenon_Hfa). % 0.67/0.85 (* end of lemma zenon_L61_ *) % 0.67/0.85 assert (zenon_L62_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.67/0.85 do 0 intro. intros zenon_Had zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Ha zenon_Ha9 zenon_Hab. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H9c | zenon_intro zenon_Hae ]. % 0.67/0.85 apply (zenon_L61_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ]. % 0.67/0.85 exact (zenon_Ha9 zenon_Haa). % 0.67/0.85 exact (zenon_Hab zenon_Hac). % 0.67/0.85 (* end of lemma zenon_L62_ *) % 0.67/0.85 assert (zenon_L63_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (c1_1 (a38)) -> (c0_1 (a38)) -> (~(c2_1 (a38))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp6)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H101 zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_H17 zenon_H98. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hca | zenon_intro zenon_H102 ]. % 0.67/0.85 apply (zenon_L51_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H18 | zenon_intro zenon_H99 ]. % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 exact (zenon_H98 zenon_H99). % 0.67/0.85 (* end of lemma zenon_L63_ *) % 0.67/0.85 assert (zenon_L64_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> False). % 0.67/0.85 do 0 intro. intros zenon_Hd6 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.85 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.85 apply (zenon_L63_); trivial. % 0.67/0.85 apply (zenon_L13_); trivial. % 0.67/0.85 (* end of lemma zenon_L64_ *) % 0.67/0.85 assert (zenon_L65_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H103 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hab zenon_Had. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.85 apply (zenon_L62_); trivial. % 0.67/0.85 apply (zenon_L64_); trivial. % 0.67/0.85 (* end of lemma zenon_L65_ *) % 0.67/0.85 assert (zenon_L66_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H63 zenon_Ha zenon_H1b zenon_Hf8 zenon_Hf9 zenon_Hfa. % 0.67/0.85 generalize (zenon_H63 (a22)). zenon_intro zenon_H104. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_H9 | zenon_intro zenon_H105 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H106 | zenon_intro zenon_Hfd ]. % 0.67/0.85 generalize (zenon_H1b (a22)). zenon_intro zenon_H107. % 0.67/0.85 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ]. % 0.67/0.85 exact (zenon_H9 zenon_Ha). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfe | zenon_intro zenon_H109 ]. % 0.67/0.85 exact (zenon_Hf8 zenon_Hfe). % 0.67/0.85 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10a | zenon_intro zenon_H100 ]. % 0.67/0.85 exact (zenon_H106 zenon_H10a). % 0.67/0.85 exact (zenon_H100 zenon_Hf9). % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.67/0.85 exact (zenon_H100 zenon_Hf9). % 0.67/0.85 exact (zenon_Hff zenon_Hfa). % 0.67/0.85 (* end of lemma zenon_L66_ *) % 0.67/0.85 assert (zenon_L67_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.85 do 0 intro. intros zenon_H6d zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H1b zenon_Ha zenon_H25 zenon_H17. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.85 apply (zenon_L66_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.85 exact (zenon_H25 zenon_H26). % 0.67/0.85 exact (zenon_H17 zenon_H18). % 0.67/0.85 (* end of lemma zenon_L67_ *) % 0.67/0.85 assert (zenon_L68_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H10b zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_Had zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_Ha zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.85 apply (zenon_L65_); trivial. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.85 apply (zenon_L67_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.85 apply (zenon_L67_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.85 apply (zenon_L58_); trivial. % 0.67/0.85 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.85 exact (zenon_H5 zenon_H6). % 0.67/0.85 apply (zenon_L60_); trivial. % 0.67/0.85 (* end of lemma zenon_L68_ *) % 0.67/0.85 assert (zenon_L69_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H10f zenon_H10b zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_Had zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.85 apply (zenon_L68_); trivial. % 0.67/0.85 (* end of lemma zenon_L69_ *) % 0.67/0.85 assert (zenon_L70_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.85 do 0 intro. intros zenon_H112 zenon_H101 zenon_H98 zenon_H27 zenon_H2a zenon_H103 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Ha zenon_H9d zenon_H9f zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_H25 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H10b. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.85 apply (zenon_L44_); trivial. % 0.67/0.85 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.85 exact (zenon_Haf zenon_Hb0). % 0.67/0.85 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.85 apply (zenon_L50_); trivial. % 0.67/0.85 apply (zenon_L53_); trivial. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.85 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_L57_); trivial. % 0.67/0.86 apply (zenon_L60_); trivial. % 0.67/0.86 apply (zenon_L69_); trivial. % 0.67/0.86 (* end of lemma zenon_L70_ *) % 0.67/0.86 assert (zenon_L71_ : (~(hskp26)) -> (hskp26) -> False). % 0.67/0.86 do 0 intro. intros zenon_H113 zenon_H114. % 0.67/0.86 exact (zenon_H113 zenon_H114). % 0.67/0.86 (* end of lemma zenon_L71_ *) % 0.67/0.86 assert (zenon_L72_ : ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp29)) -> (~(hskp26)) -> (~(hskp14)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H115 zenon_H3d zenon_H113 zenon_Hd4. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H3e | zenon_intro zenon_H116 ]. % 0.67/0.86 exact (zenon_H3d zenon_H3e). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H114 | zenon_intro zenon_Hd5 ]. % 0.67/0.86 exact (zenon_H113 zenon_H114). % 0.67/0.86 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.86 (* end of lemma zenon_L72_ *) % 0.67/0.86 assert (zenon_L73_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H117 zenon_Ha zenon_H118 zenon_H119 zenon_H11a. % 0.67/0.86 generalize (zenon_H117 (a14)). zenon_intro zenon_H11b. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H9 | zenon_intro zenon_H11c ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.67/0.86 exact (zenon_H118 zenon_H11e). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.67/0.86 exact (zenon_H119 zenon_H120). % 0.67/0.86 exact (zenon_H11f zenon_H11a). % 0.67/0.86 (* end of lemma zenon_L73_ *) % 0.67/0.86 assert (zenon_L74_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp6)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H98. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.67/0.86 apply (zenon_L73_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H4d | zenon_intro zenon_H99 ]. % 0.67/0.86 apply (zenon_L21_); trivial. % 0.67/0.86 exact (zenon_H98 zenon_H99). % 0.67/0.86 (* end of lemma zenon_L74_ *) % 0.67/0.86 assert (zenon_L75_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp26)) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H121 zenon_H98 zenon_H11a zenon_H119 zenon_H118 zenon_H113 zenon_Hd4 zenon_H115. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_L72_); trivial. % 0.67/0.86 apply (zenon_L74_); trivial. % 0.67/0.86 (* end of lemma zenon_L75_ *) % 0.67/0.86 assert (zenon_L76_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a99)) -> (c2_1 (a99)) -> (c3_1 (a99)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H63 zenon_Ha zenon_H123 zenon_H124 zenon_H125. % 0.67/0.86 generalize (zenon_H63 (a99)). zenon_intro zenon_H126. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H126); [ zenon_intro zenon_H9 | zenon_intro zenon_H127 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.67/0.86 exact (zenon_H129 zenon_H123). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.67/0.86 exact (zenon_H12b zenon_H124). % 0.67/0.86 exact (zenon_H12a zenon_H125). % 0.67/0.86 (* end of lemma zenon_L76_ *) % 0.67/0.86 assert (zenon_L77_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c0_1 (a99))) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a99)) -> (c2_1 (a99)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H85 zenon_Ha zenon_H12c zenon_H63 zenon_H123 zenon_H124. % 0.67/0.86 generalize (zenon_H85 (a99)). zenon_intro zenon_H12d. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H9 | zenon_intro zenon_H12e ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ]. % 0.67/0.86 exact (zenon_H12c zenon_H130). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H125 | zenon_intro zenon_H12b ]. % 0.67/0.86 apply (zenon_L76_); trivial. % 0.67/0.86 exact (zenon_H12b zenon_H124). % 0.67/0.86 (* end of lemma zenon_L77_ *) % 0.67/0.86 assert (zenon_L78_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a99)) -> (c1_1 (a99)) -> (~(c0_1 (a99))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H6d zenon_H124 zenon_H123 zenon_H12c zenon_Ha zenon_H85 zenon_H25 zenon_H17. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.86 apply (zenon_L77_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.86 exact (zenon_H25 zenon_H26). % 0.67/0.86 exact (zenon_H17 zenon_H18). % 0.67/0.86 (* end of lemma zenon_L78_ *) % 0.67/0.86 assert (zenon_L79_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a99)) -> (c1_1 (a99)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H6d zenon_H124 zenon_H123 zenon_Ha zenon_H8f zenon_H25 zenon_H17. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.86 generalize (zenon_H8f (a99)). zenon_intro zenon_H131. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_H9 | zenon_intro zenon_H132 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H125 | zenon_intro zenon_H133 ]. % 0.67/0.86 apply (zenon_L76_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H129 | zenon_intro zenon_H12b ]. % 0.67/0.86 exact (zenon_H129 zenon_H123). % 0.67/0.86 exact (zenon_H12b zenon_H124). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.86 exact (zenon_H25 zenon_H26). % 0.67/0.86 exact (zenon_H17 zenon_H18). % 0.67/0.86 (* end of lemma zenon_L79_ *) % 0.67/0.86 assert (zenon_L80_ : ((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp24)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp6)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H134 zenon_H9a zenon_H17 zenon_H25 zenon_H6d zenon_H98. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Ha. zenon_intro zenon_H135. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H123. zenon_intro zenon_H136. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H124. zenon_intro zenon_H12c. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ]. % 0.67/0.86 apply (zenon_L78_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ]. % 0.67/0.86 apply (zenon_L79_); trivial. % 0.67/0.86 exact (zenon_H98 zenon_H99). % 0.67/0.86 (* end of lemma zenon_L80_ *) % 0.67/0.86 assert (zenon_L81_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H121 zenon_H98 zenon_H11a zenon_H119 zenon_H118 zenon_Hd4 zenon_H115 zenon_H6d zenon_H25 zenon_H9a zenon_H137. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ]. % 0.67/0.86 apply (zenon_L75_); trivial. % 0.67/0.86 apply (zenon_L80_); trivial. % 0.67/0.86 apply (zenon_L13_); trivial. % 0.67/0.86 (* end of lemma zenon_L81_ *) % 0.67/0.86 assert (zenon_L82_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H138 zenon_Ha zenon_H139 zenon_H13a zenon_H13b. % 0.67/0.86 generalize (zenon_H138 (a13)). zenon_intro zenon_H13c. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ]. % 0.67/0.86 exact (zenon_H139 zenon_H13f). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ]. % 0.67/0.86 exact (zenon_H13a zenon_H141). % 0.67/0.86 exact (zenon_H13b zenon_H140). % 0.67/0.86 (* end of lemma zenon_L82_ *) % 0.67/0.86 assert (zenon_L83_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(c3_1 (a13))) -> (~(c1_1 (a13))) -> (~(c0_1 (a13))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H142 zenon_H13b zenon_H13a zenon_H139 zenon_Ha zenon_H5 zenon_Hf2. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H138 | zenon_intro zenon_H143 ]. % 0.67/0.86 apply (zenon_L82_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf3 ]. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 (* end of lemma zenon_L83_ *) % 0.67/0.86 assert (zenon_L84_ : (~(hskp9)) -> (hskp9) -> False). % 0.67/0.86 do 0 intro. intros zenon_H144 zenon_H145. % 0.67/0.86 exact (zenon_H144 zenon_H145). % 0.67/0.86 (* end of lemma zenon_L84_ *) % 0.67/0.86 assert (zenon_L85_ : ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp9)) -> (~(hskp2)) -> (~(hskp17)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H146 zenon_H144 zenon_H5 zenon_Hab. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H145 | zenon_intro zenon_H147 ]. % 0.67/0.86 exact (zenon_H144 zenon_H145). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H6 | zenon_intro zenon_Hac ]. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 exact (zenon_Hab zenon_Hac). % 0.67/0.86 (* end of lemma zenon_L85_ *) % 0.67/0.86 assert (zenon_L86_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H148 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.67/0.86 generalize (zenon_H148 (a9)). zenon_intro zenon_H14c. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H9 | zenon_intro zenon_H14d ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.67/0.86 exact (zenon_H149 zenon_H14f). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 0.67/0.86 exact (zenon_H14a zenon_H151). % 0.67/0.86 exact (zenon_H150 zenon_H14b). % 0.67/0.86 (* end of lemma zenon_L86_ *) % 0.67/0.86 assert (zenon_L87_ : (~(hskp22)) -> (hskp22) -> False). % 0.67/0.86 do 0 intro. intros zenon_H152 zenon_H153. % 0.67/0.86 exact (zenon_H152 zenon_H153). % 0.67/0.86 (* end of lemma zenon_L87_ *) % 0.67/0.86 assert (zenon_L88_ : (~(hskp12)) -> (hskp12) -> False). % 0.67/0.86 do 0 intro. intros zenon_H154 zenon_H155. % 0.67/0.86 exact (zenon_H154 zenon_H155). % 0.67/0.86 (* end of lemma zenon_L88_ *) % 0.67/0.86 assert (zenon_L89_ : ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp12)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H152 zenon_H154. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H148 | zenon_intro zenon_H157 ]. % 0.67/0.86 apply (zenon_L86_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H153 | zenon_intro zenon_H155 ]. % 0.67/0.86 exact (zenon_H152 zenon_H153). % 0.67/0.86 exact (zenon_H154 zenon_H155). % 0.67/0.86 (* end of lemma zenon_L89_ *) % 0.67/0.86 assert (zenon_L90_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H158 zenon_Ha zenon_H159 zenon_H15a zenon_H15b. % 0.67/0.86 generalize (zenon_H158 (a42)). zenon_intro zenon_H15c. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ]. % 0.67/0.86 exact (zenon_H159 zenon_H15f). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.67/0.86 exact (zenon_H161 zenon_H15a). % 0.67/0.86 exact (zenon_H160 zenon_H15b). % 0.67/0.86 (* end of lemma zenon_L90_ *) % 0.67/0.86 assert (zenon_L91_ : (~(hskp30)) -> (hskp30) -> False). % 0.67/0.86 do 0 intro. intros zenon_H162 zenon_H163. % 0.67/0.86 exact (zenon_H162 zenon_H163). % 0.67/0.86 (* end of lemma zenon_L91_ *) % 0.67/0.86 assert (zenon_L92_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp12)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H164 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H162 zenon_H154. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H158 | zenon_intro zenon_H165 ]. % 0.67/0.86 apply (zenon_L90_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H163 | zenon_intro zenon_H155 ]. % 0.67/0.86 exact (zenon_H162 zenon_H163). % 0.67/0.86 exact (zenon_H154 zenon_H155). % 0.67/0.86 (* end of lemma zenon_L92_ *) % 0.67/0.86 assert (zenon_L93_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a54)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H166 zenon_H6f zenon_H167 zenon_H168. % 0.67/0.86 generalize (zenon_Hc1 (a54)). zenon_intro zenon_H169. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ]. % 0.67/0.86 exact (zenon_H16c zenon_H166). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ]. % 0.67/0.86 generalize (zenon_H6f (a54)). zenon_intro zenon_H16f. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_H9 | zenon_intro zenon_H170 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.67/0.86 exact (zenon_H16e zenon_H172). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ]. % 0.67/0.86 exact (zenon_H173 zenon_H167). % 0.67/0.86 exact (zenon_H16d zenon_H168). % 0.67/0.86 exact (zenon_H16d zenon_H168). % 0.67/0.86 (* end of lemma zenon_L93_ *) % 0.67/0.86 assert (zenon_L94_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c0_1 (a54)) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H168 zenon_H167 zenon_H6f zenon_H166 zenon_Ha zenon_Hb1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ]. % 0.67/0.86 apply (zenon_L21_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 apply (zenon_L93_); trivial. % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 (* end of lemma zenon_L94_ *) % 0.67/0.86 assert (zenon_L95_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.86 apply (zenon_L92_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.86 apply (zenon_L54_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.86 apply (zenon_L94_); trivial. % 0.67/0.86 exact (zenon_H79 zenon_H7a). % 0.67/0.86 (* end of lemma zenon_L95_ *) % 0.67/0.86 assert (zenon_L96_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp26)) -> (~(hskp14)) -> ((hskp29)\/((hskp26)\/(hskp14))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_Hdd zenon_Hdc zenon_Hdb zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164 zenon_H113 zenon_Hd4 zenon_H115. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_L72_); trivial. % 0.67/0.86 apply (zenon_L95_); trivial. % 0.67/0.86 (* end of lemma zenon_L96_ *) % 0.67/0.86 assert (zenon_L97_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp24)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H137 zenon_H9a zenon_H98 zenon_H25 zenon_H17 zenon_H6d zenon_H115 zenon_Hd4 zenon_H164 zenon_H154 zenon_H15b zenon_H15a zenon_H159 zenon_Hdb zenon_Hdc zenon_Hdd zenon_Hc5 zenon_Hb1 zenon_H79 zenon_H7b zenon_H174 zenon_H5f. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ]. % 0.67/0.86 apply (zenon_L96_); trivial. % 0.67/0.86 apply (zenon_L80_); trivial. % 0.67/0.86 (* end of lemma zenon_L97_ *) % 0.67/0.86 assert (zenon_L98_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H178 zenon_Ha zenon_H166 zenon_H167 zenon_H168. % 0.67/0.86 generalize (zenon_H178 (a54)). zenon_intro zenon_H179. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_H9 | zenon_intro zenon_H17a ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H16c | zenon_intro zenon_H171 ]. % 0.67/0.86 exact (zenon_H16c zenon_H166). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ]. % 0.67/0.86 exact (zenon_H173 zenon_H167). % 0.67/0.86 exact (zenon_H16d zenon_H168). % 0.67/0.86 (* end of lemma zenon_L98_ *) % 0.67/0.86 assert (zenon_L99_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H17b zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H1b zenon_Hf8 zenon_Hf9 zenon_Hfa. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.86 apply (zenon_L61_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.86 apply (zenon_L98_); trivial. % 0.67/0.86 apply (zenon_L66_); trivial. % 0.67/0.86 (* end of lemma zenon_L99_ *) % 0.67/0.86 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H175 zenon_Hf4 zenon_Hf2 zenon_Hdc zenon_Hdd zenon_H17b zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hf5 zenon_H5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.86 apply (zenon_L99_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.86 apply (zenon_L99_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.86 apply (zenon_L58_); trivial. % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 (* end of lemma zenon_L100_ *) % 0.67/0.86 assert (zenon_L101_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a20))) -> (~(c3_1 (a20))) -> (c2_1 (a20)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H17d zenon_Ha zenon_H17e zenon_H17f zenon_H180. % 0.67/0.86 generalize (zenon_H17d (a20)). zenon_intro zenon_H181. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ]. % 0.67/0.86 exact (zenon_H17e zenon_H184). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.67/0.86 exact (zenon_H17f zenon_H186). % 0.67/0.86 exact (zenon_H185 zenon_H180). % 0.67/0.86 (* end of lemma zenon_L101_ *) % 0.67/0.86 assert (zenon_L102_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> (~(c1_1 (a20))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_Ha zenon_H79 zenon_Hf2. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H17d | zenon_intro zenon_H188 ]. % 0.67/0.86 apply (zenon_L101_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H7a | zenon_intro zenon_Hf3 ]. % 0.67/0.86 exact (zenon_H79 zenon_H7a). % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 (* end of lemma zenon_L102_ *) % 0.67/0.86 assert (zenon_L103_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H189 zenon_H187 zenon_H79 zenon_Hf2. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.86 apply (zenon_L102_); trivial. % 0.67/0.86 (* end of lemma zenon_L103_ *) % 0.67/0.86 assert (zenon_L104_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H18c zenon_H187 zenon_H10b zenon_H18d zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hb1 zenon_Hc5 zenon_H164 zenon_H115 zenon_H6d zenon_H25 zenon_H98 zenon_H9a zenon_H137 zenon_H149 zenon_H14a zenon_H14b zenon_H156 zenon_H144 zenon_H5 zenon_H146 zenon_H17b zenon_Hf5 zenon_Hf2 zenon_Hf4 zenon_H112. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_L85_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.86 apply (zenon_L89_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_L97_); trivial. % 0.67/0.86 apply (zenon_L13_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_L85_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.86 apply (zenon_L89_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.86 apply (zenon_L92_); trivial. % 0.67/0.86 apply (zenon_L100_); trivial. % 0.67/0.86 apply (zenon_L103_); trivial. % 0.67/0.86 (* end of lemma zenon_L104_ *) % 0.67/0.86 assert (zenon_L105_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H191 zenon_H112 zenon_H101 zenon_H98 zenon_H27 zenon_H2a zenon_H103 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_H25 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H10b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.86 apply (zenon_L70_); trivial. % 0.67/0.86 (* end of lemma zenon_L105_ *) % 0.67/0.86 assert (zenon_L106_ : (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H195 zenon_Ha zenon_H196 zenon_H197 zenon_H198. % 0.67/0.86 generalize (zenon_H195 (a16)). zenon_intro zenon_H199. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H9 | zenon_intro zenon_H19a ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.67/0.86 exact (zenon_H196 zenon_H19c). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ]. % 0.67/0.86 exact (zenon_H19e zenon_H197). % 0.67/0.86 exact (zenon_H19d zenon_H198). % 0.67/0.86 (* end of lemma zenon_L106_ *) % 0.67/0.86 assert (zenon_L107_ : ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp10)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Ha9 zenon_H79. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ]. % 0.67/0.86 apply (zenon_L106_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Haa | zenon_intro zenon_H7a ]. % 0.67/0.86 exact (zenon_Ha9 zenon_Haa). % 0.67/0.86 exact (zenon_H79 zenon_H7a). % 0.67/0.86 (* end of lemma zenon_L107_ *) % 0.67/0.86 assert (zenon_L108_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H98 zenon_H101 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_L107_); trivial. % 0.67/0.86 apply (zenon_L64_); trivial. % 0.67/0.86 (* end of lemma zenon_L108_ *) % 0.67/0.86 assert (zenon_L109_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a1 zenon_H112 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H10b zenon_H19f zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.86 apply (zenon_L108_); trivial. % 0.67/0.86 apply (zenon_L105_); trivial. % 0.67/0.86 (* end of lemma zenon_L109_ *) % 0.67/0.86 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H112 zenon_Hd7 zenon_He7 zenon_Hb1 zenon_Had zenon_Hc5 zenon_He6 zenon_H6d zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H10b zenon_H19f zenon_H101 zenon_H98 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H103. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_L109_); trivial. % 0.67/0.86 (* end of lemma zenon_L110_ *) % 0.67/0.86 assert (zenon_L111_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H63 zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa. % 0.67/0.86 generalize (zenon_H63 (a22)). zenon_intro zenon_H104. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_H9 | zenon_intro zenon_H105 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H106 | zenon_intro zenon_Hfd ]. % 0.67/0.86 generalize (zenon_H6f (a22)). zenon_intro zenon_H1a5. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a6 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H10a | zenon_intro zenon_Hfd ]. % 0.67/0.86 exact (zenon_H106 zenon_H10a). % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.67/0.86 exact (zenon_H100 zenon_Hf9). % 0.67/0.86 exact (zenon_Hff zenon_Hfa). % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.67/0.86 exact (zenon_H100 zenon_Hf9). % 0.67/0.86 exact (zenon_Hff zenon_Hfa). % 0.67/0.86 (* end of lemma zenon_L111_ *) % 0.67/0.86 assert (zenon_L112_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp24)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H6d zenon_Hfa zenon_Hf9 zenon_H6f zenon_Ha zenon_H25 zenon_H17. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H63 | zenon_intro zenon_H6e ]. % 0.67/0.86 apply (zenon_L111_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H18 ]. % 0.67/0.86 exact (zenon_H25 zenon_H26). % 0.67/0.86 exact (zenon_H17 zenon_H18). % 0.67/0.86 (* end of lemma zenon_L112_ *) % 0.67/0.86 assert (zenon_L113_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp24)) -> (~(hskp3)) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H17 zenon_H25 zenon_Hf9 zenon_Hfa zenon_H6d zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.86 apply (zenon_L73_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.86 apply (zenon_L112_); trivial. % 0.67/0.86 apply (zenon_L86_); trivial. % 0.67/0.86 (* end of lemma zenon_L113_ *) % 0.67/0.86 assert (zenon_L114_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H2e zenon_Hf4 zenon_H5 zenon_Hf2 zenon_Hf5 zenon_H118 zenon_H119 zenon_H11a zenon_H6d zenon_H25 zenon_Hfa zenon_Hf9 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_L113_); trivial. % 0.67/0.86 apply (zenon_L60_); trivial. % 0.67/0.86 (* end of lemma zenon_L114_ *) % 0.67/0.86 assert (zenon_L115_ : ((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a9 zenon_H1aa zenon_H27 zenon_Hf2. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H138 | zenon_intro zenon_H1ad ]. % 0.67/0.86 apply (zenon_L82_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H28 | zenon_intro zenon_Hf3 ]. % 0.67/0.86 exact (zenon_H27 zenon_H28). % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 (* end of lemma zenon_L115_ *) % 0.67/0.86 assert (zenon_L116_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1. % 0.67/0.86 generalize (zenon_H1ae (a7)). zenon_intro zenon_H1b2. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b3 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 0.67/0.86 exact (zenon_H1af zenon_H1b5). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.67/0.86 exact (zenon_H1b7 zenon_H1b0). % 0.67/0.86 exact (zenon_H1b6 zenon_H1b1). % 0.67/0.86 (* end of lemma zenon_L116_ *) % 0.67/0.86 assert (zenon_L117_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(hskp11)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H1b8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H57. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ]. % 0.67/0.86 apply (zenon_L54_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 exact (zenon_H57 zenon_H58). % 0.67/0.86 (* end of lemma zenon_L117_ *) % 0.67/0.86 assert (zenon_L118_ : ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H3d zenon_H144. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bb ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H3e | zenon_intro zenon_H145 ]. % 0.67/0.86 exact (zenon_H3d zenon_H3e). % 0.67/0.86 exact (zenon_H144 zenon_H145). % 0.67/0.86 (* end of lemma zenon_L118_ *) % 0.67/0.86 assert (zenon_L119_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a7)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H1b0 zenon_He9 zenon_H1af zenon_H1b1. % 0.67/0.86 generalize (zenon_Hc1 (a7)). zenon_intro zenon_H1bc. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bd ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1be ]. % 0.67/0.86 exact (zenon_H1b7 zenon_H1b0). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1b6 ]. % 0.67/0.86 generalize (zenon_He9 (a7)). zenon_intro zenon_H1c0. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c1 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.67/0.86 exact (zenon_H1bf zenon_H1c3). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 0.67/0.86 exact (zenon_H1af zenon_H1b5). % 0.67/0.86 exact (zenon_H1b6 zenon_H1b1). % 0.67/0.86 exact (zenon_H1b6 zenon_H1b1). % 0.67/0.86 (* end of lemma zenon_L119_ *) % 0.67/0.86 assert (zenon_L120_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_Hb1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ]. % 0.67/0.86 apply (zenon_L21_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 apply (zenon_L119_); trivial. % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 (* end of lemma zenon_L120_ *) % 0.67/0.86 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp6)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H59 zenon_Hf4 zenon_H98 zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_Hb1 zenon_H1b0 zenon_H1af zenon_H1b1 zenon_Hc5 zenon_H5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.86 apply (zenon_L38_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.86 apply (zenon_L120_); trivial. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 (* end of lemma zenon_L121_ *) % 0.67/0.86 assert (zenon_L122_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1c4 zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_L118_); trivial. % 0.67/0.86 apply (zenon_L121_); trivial. % 0.67/0.86 (* end of lemma zenon_L122_ *) % 0.67/0.86 assert (zenon_L123_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1c7 zenon_H5f zenon_Hf4 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1ba zenon_H146 zenon_H5 zenon_H144 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H10b. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_L85_); trivial. % 0.67/0.86 apply (zenon_L117_); trivial. % 0.67/0.86 apply (zenon_L122_); trivial. % 0.67/0.86 (* end of lemma zenon_L123_ *) % 0.67/0.86 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hd6 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H196 zenon_H197 zenon_H198. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.86 apply (zenon_L51_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 apply (zenon_L106_); trivial. % 0.67/0.86 (* end of lemma zenon_L124_ *) % 0.67/0.86 assert (zenon_L125_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_L107_); trivial. % 0.67/0.86 apply (zenon_L124_); trivial. % 0.67/0.86 (* end of lemma zenon_L125_ *) % 0.67/0.86 assert (zenon_L126_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_Hab zenon_Had. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_L62_); trivial. % 0.67/0.86 apply (zenon_L124_); trivial. % 0.67/0.86 (* end of lemma zenon_L126_ *) % 0.67/0.86 assert (zenon_L127_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H112 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H103 zenon_Hd7 zenon_Had zenon_H9f zenon_H9d zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H57 zenon_H1b8 zenon_H10b. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ]. % 0.67/0.86 apply (zenon_L44_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 exact (zenon_H57 zenon_H58). % 0.67/0.86 apply (zenon_L53_); trivial. % 0.67/0.86 apply (zenon_L117_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_L126_); trivial. % 0.67/0.86 apply (zenon_L117_); trivial. % 0.67/0.86 (* end of lemma zenon_L127_ *) % 0.67/0.86 assert (zenon_L128_ : (~(hskp8)) -> (hskp8) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ca zenon_H1cb. % 0.67/0.86 exact (zenon_H1ca zenon_H1cb). % 0.67/0.86 (* end of lemma zenon_L128_ *) % 0.67/0.86 assert (zenon_L129_ : ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1cc zenon_H198 zenon_H197 zenon_H196 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_H1ca. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H1cd ]. % 0.67/0.86 apply (zenon_L106_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1cb ]. % 0.67/0.86 apply (zenon_L119_); trivial. % 0.67/0.86 exact (zenon_H1ca zenon_H1cb). % 0.67/0.86 (* end of lemma zenon_L129_ *) % 0.67/0.86 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H1c7 zenon_Hf4 zenon_H5 zenon_H1ca zenon_H1cc zenon_H98 zenon_H9a zenon_H10b zenon_H1b8 zenon_Had zenon_Hd7 zenon_H112 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.86 apply (zenon_L125_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.86 apply (zenon_L127_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.86 apply (zenon_L38_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.86 apply (zenon_L129_); trivial. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 (* end of lemma zenon_L130_ *) % 0.67/0.86 assert (zenon_L131_ : (~(hskp5)) -> (hskp5) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ce zenon_H1cf. % 0.67/0.86 exact (zenon_H1ce zenon_H1cf). % 0.67/0.86 (* end of lemma zenon_L131_ *) % 0.67/0.86 assert (zenon_L132_ : (~(hskp25)) -> (hskp25) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1d0 zenon_H1d1. % 0.67/0.86 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.86 (* end of lemma zenon_L132_ *) % 0.67/0.86 assert (zenon_L133_ : ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> (~(hskp25)) -> (~(hskp28)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1d2 zenon_H1ce zenon_H1d0 zenon_Haf. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1d3 ]. % 0.67/0.86 exact (zenon_H1ce zenon_H1cf). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d1 | zenon_intro zenon_Hb0 ]. % 0.67/0.86 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.86 exact (zenon_Haf zenon_Hb0). % 0.67/0.86 (* end of lemma zenon_L133_ *) % 0.67/0.86 assert (zenon_L134_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (c1_1 (a25)) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1d4 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha zenon_H1d0. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 0.67/0.86 apply (zenon_L119_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ]. % 0.67/0.86 apply (zenon_L55_); trivial. % 0.67/0.86 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.86 (* end of lemma zenon_L134_ *) % 0.67/0.86 assert (zenon_L135_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp6)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp25)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp2)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc7 zenon_Hf4 zenon_H98 zenon_H87 zenon_H86 zenon_H88 zenon_H9a zenon_H1d0 zenon_H1b0 zenon_H1af zenon_H1b1 zenon_H1d4 zenon_H5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.86 apply (zenon_L38_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.86 apply (zenon_L134_); trivial. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 (* end of lemma zenon_L135_ *) % 0.67/0.86 assert (zenon_L136_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9. % 0.67/0.86 generalize (zenon_H1d6 (a15)). zenon_intro zenon_H1da. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.67/0.86 exact (zenon_H1d7 zenon_H1dd). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.67/0.86 exact (zenon_H1d8 zenon_H1df). % 0.67/0.86 exact (zenon_H1d9 zenon_H1de). % 0.67/0.86 (* end of lemma zenon_L136_ *) % 0.67/0.86 assert (zenon_L137_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a70))) -> (~(c3_1 (a70))) -> (c0_1 (a70)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1e0 zenon_Ha zenon_H1e1 zenon_H1e2 zenon_H1e3. % 0.67/0.86 generalize (zenon_H1e0 (a70)). zenon_intro zenon_H1e4. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e5 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ]. % 0.67/0.86 exact (zenon_H1e1 zenon_H1e7). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e8 ]. % 0.67/0.86 exact (zenon_H1e2 zenon_H1e9). % 0.67/0.86 exact (zenon_H1e8 zenon_H1e3). % 0.67/0.86 (* end of lemma zenon_L137_ *) % 0.67/0.86 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ea zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.86 apply (zenon_L35_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.86 apply (zenon_L136_); trivial. % 0.67/0.86 apply (zenon_L137_); trivial. % 0.67/0.86 (* end of lemma zenon_L138_ *) % 0.67/0.86 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1d2 zenon_H1ce zenon_H9a zenon_H98 zenon_H1d4 zenon_H5 zenon_Hf4 zenon_He6 zenon_H10b zenon_H1b8 zenon_Had zenon_Hd7 zenon_H112 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.86 apply (zenon_L125_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.86 apply (zenon_L127_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.86 apply (zenon_L133_); trivial. % 0.67/0.86 apply (zenon_L135_); trivial. % 0.67/0.86 apply (zenon_L138_); trivial. % 0.67/0.86 (* end of lemma zenon_L139_ *) % 0.67/0.86 assert (zenon_L140_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1f0 zenon_H1ef zenon_H1eb zenon_H1d2 zenon_H1ce zenon_H1d4 zenon_He6 zenon_H1c7 zenon_H5f zenon_Hf4 zenon_Hb1 zenon_Hc5 zenon_H98 zenon_H9a zenon_H1ba zenon_H146 zenon_H5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1b8 zenon_H10b zenon_H103 zenon_H1c8 zenon_H19f zenon_H112 zenon_Hd7 zenon_Had zenon_H1cc zenon_H1a1 zenon_H1f1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.86 apply (zenon_L123_); trivial. % 0.67/0.86 apply (zenon_L130_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.86 apply (zenon_L123_); trivial. % 0.67/0.86 apply (zenon_L139_); trivial. % 0.67/0.86 (* end of lemma zenon_L140_ *) % 0.67/0.86 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp9)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H59 zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H144. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H117 | zenon_intro zenon_H1f6 ]. % 0.67/0.86 apply (zenon_L73_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H4d | zenon_intro zenon_H145 ]. % 0.67/0.86 apply (zenon_L21_); trivial. % 0.67/0.86 exact (zenon_H144 zenon_H145). % 0.67/0.86 (* end of lemma zenon_L141_ *) % 0.67/0.86 assert (zenon_L142_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (ndr1_0) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_L118_); trivial. % 0.67/0.86 apply (zenon_L141_); trivial. % 0.67/0.86 (* end of lemma zenon_L142_ *) % 0.67/0.86 assert (zenon_L143_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1f7 zenon_Ha zenon_H9d zenon_H194 zenon_H9f. % 0.67/0.86 generalize (zenon_H1f7 (a18)). zenon_intro zenon_H1f8. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f9 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H1fa ]. % 0.67/0.86 exact (zenon_H9d zenon_Ha3). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha4 ]. % 0.67/0.86 exact (zenon_H194 zenon_H1fb). % 0.67/0.86 exact (zenon_Ha4 zenon_H9f). % 0.67/0.86 (* end of lemma zenon_L143_ *) % 0.67/0.86 assert (zenon_L144_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1fc zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.86 generalize (zenon_H1fc (a11)). zenon_intro zenon_H200. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_H9 | zenon_intro zenon_H201 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.67/0.86 exact (zenon_H1fd zenon_H203). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.67/0.86 exact (zenon_H1fe zenon_H205). % 0.67/0.86 exact (zenon_H204 zenon_H1ff). % 0.67/0.86 (* end of lemma zenon_L144_ *) % 0.67/0.86 assert (zenon_L145_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c1_1 (a18))) -> (~(hskp17)) -> (~(hskp21)) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H206 zenon_H194 zenon_Hab zenon_Ha9 zenon_H9d zenon_H9f zenon_Had zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.86 apply (zenon_L143_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.86 apply (zenon_L44_); trivial. % 0.67/0.86 apply (zenon_L144_); trivial. % 0.67/0.86 (* end of lemma zenon_L145_ *) % 0.67/0.86 assert (zenon_L146_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H10c zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.86 apply (zenon_L143_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.86 apply (zenon_L54_); trivial. % 0.67/0.86 apply (zenon_L144_); trivial. % 0.67/0.86 (* end of lemma zenon_L146_ *) % 0.67/0.86 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H112 zenon_Hd7 zenon_Had zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H10b zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.86 apply (zenon_L125_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_L145_); trivial. % 0.67/0.86 apply (zenon_L53_); trivial. % 0.67/0.86 apply (zenon_L146_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.86 apply (zenon_L126_); trivial. % 0.67/0.86 apply (zenon_L146_); trivial. % 0.67/0.86 (* end of lemma zenon_L147_ *) % 0.67/0.86 assert (zenon_L148_ : ((ndr1_0)/\((~(c0_1 (a13)))/\((~(c1_1 (a13)))/\(~(c3_1 (a13)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a9 zenon_H142 zenon_H5 zenon_Hf2. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.86 apply (zenon_L83_); trivial. % 0.67/0.86 (* end of lemma zenon_L148_ *) % 0.67/0.86 assert (zenon_L149_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a3))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H64 zenon_Ha zenon_H208 zenon_H209 zenon_H20a. % 0.67/0.86 generalize (zenon_H64 (a3)). zenon_intro zenon_H20b. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 0.67/0.86 exact (zenon_H208 zenon_H20e). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.67/0.86 exact (zenon_H209 zenon_H210). % 0.67/0.86 exact (zenon_H20f zenon_H20a). % 0.67/0.86 (* end of lemma zenon_L149_ *) % 0.67/0.86 assert (zenon_L150_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H209 zenon_H64 zenon_H20a. % 0.67/0.86 generalize (zenon_H1ae (a3)). zenon_intro zenon_H211. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H9 | zenon_intro zenon_H212 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H210 | zenon_intro zenon_H213 ]. % 0.67/0.86 exact (zenon_H209 zenon_H210). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H208 | zenon_intro zenon_H20f ]. % 0.67/0.86 apply (zenon_L149_); trivial. % 0.67/0.86 exact (zenon_H20f zenon_H20a). % 0.67/0.86 (* end of lemma zenon_L150_ *) % 0.67/0.86 assert (zenon_L151_ : ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1ba zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H3d zenon_H144. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bb ]. % 0.67/0.86 apply (zenon_L150_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H3e | zenon_intro zenon_H145 ]. % 0.67/0.86 exact (zenon_H3d zenon_H3e). % 0.67/0.86 exact (zenon_H144 zenon_H145). % 0.67/0.86 (* end of lemma zenon_L151_ *) % 0.67/0.86 assert (zenon_L152_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H64 zenon_H209 zenon_H20a zenon_H214. % 0.67/0.86 generalize (zenon_Hc1 (a3)). zenon_intro zenon_H215. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H9 | zenon_intro zenon_H216 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H208 | zenon_intro zenon_H217 ]. % 0.67/0.86 apply (zenon_L149_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ]. % 0.67/0.86 exact (zenon_H218 zenon_H214). % 0.67/0.86 exact (zenon_H20f zenon_H20a). % 0.67/0.86 (* end of lemma zenon_L152_ *) % 0.67/0.86 assert (zenon_L153_ : ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c2_1 (a35)) -> (c1_1 (a35)) -> (c0_1 (a35)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4f zenon_H4e zenon_H214 zenon_H20a zenon_H209 zenon_H64 zenon_Ha zenon_Hb1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ]. % 0.67/0.86 apply (zenon_L21_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 apply (zenon_L152_); trivial. % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 (* end of lemma zenon_L153_ *) % 0.67/0.86 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H59 zenon_He7 zenon_H209 zenon_H20a zenon_H214 zenon_Hc5 zenon_Haf zenon_Hb1. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.86 apply (zenon_L153_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 exact (zenon_Haf zenon_Hb0). % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 (* end of lemma zenon_L154_ *) % 0.67/0.86 assert (zenon_L155_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H5f zenon_H214 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_Haf zenon_Hb1 zenon_He7. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.86 apply (zenon_L151_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 exact (zenon_Haf zenon_Hb0). % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 apply (zenon_L154_); trivial. % 0.67/0.86 (* end of lemma zenon_L155_ *) % 0.67/0.86 assert (zenon_L156_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_He7 zenon_Hb1 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.86 apply (zenon_L155_); trivial. % 0.67/0.86 apply (zenon_L56_); trivial. % 0.67/0.86 (* end of lemma zenon_L156_ *) % 0.67/0.86 assert (zenon_L157_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hea zenon_Ha zenon_H209 zenon_H214 zenon_H20a. % 0.67/0.86 generalize (zenon_Hea (a3)). zenon_intro zenon_H219. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H9 | zenon_intro zenon_H21a ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H210 | zenon_intro zenon_H217 ]. % 0.67/0.86 exact (zenon_H209 zenon_H210). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ]. % 0.67/0.86 exact (zenon_H218 zenon_H214). % 0.67/0.86 exact (zenon_H20f zenon_H20a). % 0.67/0.86 (* end of lemma zenon_L157_ *) % 0.67/0.86 assert (zenon_L158_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H29 zenon_Hf5 zenon_H20a zenon_H214 zenon_H209 zenon_Hf2. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.86 apply (zenon_L10_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.86 apply (zenon_L157_); trivial. % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 (* end of lemma zenon_L158_ *) % 0.67/0.86 assert (zenon_L159_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hca zenon_Ha zenon_H209 zenon_H64 zenon_H20a zenon_H214. % 0.67/0.86 generalize (zenon_Hca (a3)). zenon_intro zenon_H21b. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H9 | zenon_intro zenon_H21c ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H210 | zenon_intro zenon_H21d ]. % 0.67/0.86 exact (zenon_H209 zenon_H210). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H208 | zenon_intro zenon_H218 ]. % 0.67/0.86 apply (zenon_L149_); trivial. % 0.67/0.86 exact (zenon_H218 zenon_H214). % 0.67/0.86 (* end of lemma zenon_L159_ *) % 0.67/0.86 assert (zenon_L160_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1c8 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H196 zenon_H197 zenon_H198. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.86 apply (zenon_L159_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.86 apply (zenon_L150_); trivial. % 0.67/0.86 apply (zenon_L106_); trivial. % 0.67/0.86 (* end of lemma zenon_L160_ *) % 0.67/0.86 assert (zenon_L161_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.67/0.86 do 0 intro. intros zenon_He7 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Haf zenon_Hb1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.86 apply (zenon_L160_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.86 exact (zenon_Haf zenon_Hb0). % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 (* end of lemma zenon_L161_ *) % 0.67/0.86 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_He7 zenon_Hb1 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H25 zenon_H6d zenon_He6. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.86 apply (zenon_L161_); trivial. % 0.67/0.86 apply (zenon_L56_); trivial. % 0.67/0.86 apply (zenon_L158_); trivial. % 0.67/0.86 (* end of lemma zenon_L162_ *) % 0.67/0.86 assert (zenon_L163_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1f1 zenon_H1c8 zenon_He6 zenon_H6d zenon_H25 zenon_He7 zenon_Hb1 zenon_Ha zenon_H209 zenon_H20a zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f zenon_Hf2 zenon_Hf5 zenon_H2e. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_L156_); trivial. % 0.67/0.86 apply (zenon_L158_); trivial. % 0.67/0.86 apply (zenon_L162_); trivial. % 0.67/0.86 (* end of lemma zenon_L163_ *) % 0.67/0.86 assert (zenon_L164_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H10f zenon_H2e zenon_H6d zenon_H25 zenon_H209 zenon_H214 zenon_H20a zenon_Hf2 zenon_Hf5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.86 apply (zenon_L67_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.86 apply (zenon_L157_); trivial. % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 apply (zenon_L158_); trivial. % 0.67/0.86 (* end of lemma zenon_L164_ *) % 0.67/0.86 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1c4 zenon_Hf5 zenon_H98 zenon_H9a zenon_H20a zenon_H214 zenon_H209 zenon_Hf2. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.86 apply (zenon_L38_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.86 apply (zenon_L157_); trivial. % 0.67/0.86 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.86 (* end of lemma zenon_L165_ *) % 0.67/0.86 assert (zenon_L166_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1c8 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H196 zenon_H197 zenon_H198. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.86 apply (zenon_L159_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 apply (zenon_L106_); trivial. % 0.67/0.86 (* end of lemma zenon_L166_ *) % 0.67/0.86 assert (zenon_L167_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1b8 zenon_H198 zenon_H197 zenon_H196 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H57. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ]. % 0.67/0.86 apply (zenon_L166_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 exact (zenon_H57 zenon_H58). % 0.67/0.86 (* end of lemma zenon_L167_ *) % 0.67/0.86 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H1a2 zenon_H1c7 zenon_Hf5 zenon_Hf2 zenon_H98 zenon_H9a zenon_H1c8 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H214 zenon_H20a zenon_H209 zenon_H1b8. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.86 apply (zenon_L167_); trivial. % 0.67/0.86 apply (zenon_L165_); trivial. % 0.67/0.86 (* end of lemma zenon_L168_ *) % 0.67/0.86 assert (zenon_L169_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H21e zenon_H1f5 zenon_H1c7 zenon_Hf5 zenon_Hf2 zenon_H98 zenon_H9a zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_Hc5 zenon_H214 zenon_H20a zenon_H209 zenon_H1b8 zenon_H5f zenon_H1c8 zenon_H1f1. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.86 apply (zenon_L118_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ]. % 0.67/0.86 apply (zenon_L153_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ]. % 0.67/0.86 apply (zenon_L116_); trivial. % 0.67/0.86 exact (zenon_H57 zenon_H58). % 0.67/0.86 apply (zenon_L165_); trivial. % 0.67/0.86 apply (zenon_L168_); trivial. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.86 apply (zenon_L142_); trivial. % 0.67/0.86 apply (zenon_L168_); trivial. % 0.67/0.86 (* end of lemma zenon_L169_ *) % 0.67/0.86 assert (zenon_L170_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H222 zenon_Ha zenon_H223 zenon_H224 zenon_H225. % 0.67/0.86 generalize (zenon_H222 (a2)). zenon_intro zenon_H226. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_H9 | zenon_intro zenon_H227 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.67/0.86 exact (zenon_H223 zenon_H229). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.67/0.86 exact (zenon_H224 zenon_H22b). % 0.67/0.86 exact (zenon_H225 zenon_H22a). % 0.67/0.86 (* end of lemma zenon_L170_ *) % 0.67/0.86 assert (zenon_L171_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H22c zenon_H225 zenon_H224 zenon_H223 zenon_Ha zenon_Hb1 zenon_H1ca. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H222 | zenon_intro zenon_H22d ]. % 0.67/0.86 apply (zenon_L170_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1cb ]. % 0.67/0.86 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.86 exact (zenon_H1ca zenon_H1cb). % 0.67/0.86 (* end of lemma zenon_L171_ *) % 0.67/0.86 assert (zenon_L172_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Ha9 zenon_H39. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ]. % 0.67/0.86 apply (zenon_L136_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ]. % 0.67/0.86 exact (zenon_Ha9 zenon_Haa). % 0.67/0.86 exact (zenon_H39 zenon_H3a). % 0.67/0.86 (* end of lemma zenon_L172_ *) % 0.67/0.86 assert (zenon_L173_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp16)) -> (~(hskp14)) -> False). % 0.67/0.86 do 0 intro. intros zenon_Hd6 zenon_H230 zenon_H1 zenon_Hd4. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.86 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hca | zenon_intro zenon_H231 ]. % 0.67/0.86 apply (zenon_L51_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd5 ]. % 0.67/0.86 exact (zenon_H1 zenon_H2). % 0.67/0.86 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.86 (* end of lemma zenon_L173_ *) % 0.67/0.86 assert (zenon_L174_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H39 zenon_H22e. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.86 apply (zenon_L172_); trivial. % 0.67/0.86 apply (zenon_L173_); trivial. % 0.67/0.86 (* end of lemma zenon_L174_ *) % 0.67/0.86 assert (zenon_L175_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H7d zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.86 apply (zenon_L170_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.86 apply (zenon_L136_); trivial. % 0.67/0.86 apply (zenon_L28_); trivial. % 0.67/0.86 (* end of lemma zenon_L175_ *) % 0.67/0.86 assert (zenon_L176_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.86 apply (zenon_L174_); trivial. % 0.67/0.86 apply (zenon_L24_); trivial. % 0.67/0.86 apply (zenon_L175_); trivial. % 0.67/0.86 (* end of lemma zenon_L176_ *) % 0.67/0.86 assert (zenon_L177_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a27)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H6f zenon_Ha zenon_Hc zenon_He9 zenon_He. % 0.67/0.86 generalize (zenon_H6f (a27)). zenon_intro zenon_H234. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H9 | zenon_intro zenon_H235 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12 | zenon_intro zenon_H236 ]. % 0.67/0.86 exact (zenon_Hc zenon_H12). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ]. % 0.67/0.86 generalize (zenon_He9 (a27)). zenon_intro zenon_H238. % 0.67/0.86 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ]. % 0.67/0.86 exact (zenon_H9 zenon_Ha). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H12 | zenon_intro zenon_H23a ]. % 0.67/0.86 exact (zenon_Hc zenon_H12). % 0.67/0.86 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23b | zenon_intro zenon_H13 ]. % 0.67/0.86 exact (zenon_H237 zenon_H23b). % 0.67/0.86 exact (zenon_H13 zenon_He). % 0.67/0.86 exact (zenon_H13 zenon_He). % 0.67/0.86 (* end of lemma zenon_L177_ *) % 0.67/0.86 assert (zenon_L178_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a27)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Hc zenon_He9 zenon_He. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.86 apply (zenon_L170_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.86 apply (zenon_L136_); trivial. % 0.67/0.86 apply (zenon_L177_); trivial. % 0.67/0.86 (* end of lemma zenon_L178_ *) % 0.67/0.86 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_He zenon_Hc zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H5. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.86 apply (zenon_L10_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.86 apply (zenon_L178_); trivial. % 0.67/0.86 exact (zenon_H5 zenon_H6). % 0.67/0.86 (* end of lemma zenon_L179_ *) % 0.67/0.86 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H80 zenon_H2e zenon_Hf4 zenon_H5 zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H15 zenon_H19. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.86 apply (zenon_L9_); trivial. % 0.67/0.86 apply (zenon_L179_); trivial. % 0.67/0.86 (* end of lemma zenon_L180_ *) % 0.67/0.86 assert (zenon_L181_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H15 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_Hd4 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.86 apply (zenon_L176_); trivial. % 0.67/0.86 apply (zenon_L180_); trivial. % 0.67/0.86 (* end of lemma zenon_L181_ *) % 0.67/0.86 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp0)) -> False). % 0.67/0.86 do 0 intro. intros zenon_H10f zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H27. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ]. % 0.67/0.86 apply (zenon_L170_); trivial. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ]. % 0.67/0.86 apply (zenon_L61_); trivial. % 0.67/0.86 exact (zenon_H27 zenon_H28). % 0.67/0.86 (* end of lemma zenon_L182_ *) % 0.67/0.86 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.86 do 0 intro. intros zenon_H80 zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.86 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.86 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.86 apply (zenon_L25_); trivial. % 0.67/0.86 apply (zenon_L175_); trivial. % 0.67/0.86 (* end of lemma zenon_L183_ *) % 0.67/0.86 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L176_); trivial. % 0.67/0.87 apply (zenon_L183_); trivial. % 0.67/0.87 apply (zenon_L182_); trivial. % 0.67/0.87 (* end of lemma zenon_L184_ *) % 0.67/0.87 assert (zenon_L185_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.87 apply (zenon_L181_); trivial. % 0.67/0.87 apply (zenon_L182_); trivial. % 0.67/0.87 apply (zenon_L184_); trivial. % 0.67/0.87 (* end of lemma zenon_L185_ *) % 0.67/0.87 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H15 zenon_H19. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.87 apply (zenon_L14_); trivial. % 0.67/0.87 (* end of lemma zenon_L186_ *) % 0.67/0.87 assert (zenon_L187_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H84 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H15 zenon_H19 zenon_H3 zenon_H5 zenon_H7. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L4_); trivial. % 0.67/0.87 apply (zenon_L186_); trivial. % 0.67/0.87 (* end of lemma zenon_L187_ *) % 0.67/0.87 assert (zenon_L188_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a27))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H6f zenon_Hc zenon_He zenon_Hd. % 0.67/0.87 generalize (zenon_H1ae (a27)). zenon_intro zenon_H242. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23b | zenon_intro zenon_H11 ]. % 0.67/0.87 generalize (zenon_H6f (a27)). zenon_intro zenon_H234. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H9 | zenon_intro zenon_H235 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H12 | zenon_intro zenon_H236 ]. % 0.67/0.87 exact (zenon_Hc zenon_H12). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ]. % 0.67/0.87 exact (zenon_H237 zenon_H23b). % 0.67/0.87 exact (zenon_H13 zenon_He). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.67/0.87 exact (zenon_H14 zenon_Hd). % 0.67/0.87 exact (zenon_H13 zenon_He). % 0.67/0.87 (* end of lemma zenon_L188_ *) % 0.67/0.87 assert (zenon_L189_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H8f zenon_Ha zenon_H30 zenon_H1e0 zenon_H31 zenon_H32. % 0.67/0.87 generalize (zenon_H8f (a21)). zenon_intro zenon_H244. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H9 | zenon_intro zenon_H245 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H36 | zenon_intro zenon_H246 ]. % 0.67/0.87 exact (zenon_H30 zenon_H36). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H37 ]. % 0.67/0.87 generalize (zenon_H1e0 (a21)). zenon_intro zenon_H248. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.67/0.87 exact (zenon_H247 zenon_H24b). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H36 | zenon_intro zenon_H38 ]. % 0.67/0.87 exact (zenon_H30 zenon_H36). % 0.67/0.87 exact (zenon_H38 zenon_H31). % 0.67/0.87 exact (zenon_H37 zenon_H32). % 0.67/0.87 (* end of lemma zenon_L189_ *) % 0.67/0.87 assert (zenon_L190_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H30 zenon_H31 zenon_H32. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.87 apply (zenon_L170_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.87 apply (zenon_L136_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.87 apply (zenon_L35_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.87 apply (zenon_L136_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.87 apply (zenon_L177_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.87 apply (zenon_L188_); trivial. % 0.67/0.87 apply (zenon_L189_); trivial. % 0.67/0.87 (* end of lemma zenon_L190_ *) % 0.67/0.87 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H84 zenon_H232 zenon_H86 zenon_H87 zenon_H88 zenon_H24c zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H3 zenon_H5 zenon_H7. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L4_); trivial. % 0.67/0.87 apply (zenon_L190_); trivial. % 0.67/0.87 (* end of lemma zenon_L191_ *) % 0.67/0.87 assert (zenon_L192_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1f2 zenon_H1c7 zenon_H24c zenon_H1eb zenon_H7 zenon_H3 zenon_H25 zenon_H2a zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.87 apply (zenon_L185_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_L187_); trivial. % 0.67/0.87 apply (zenon_L191_); trivial. % 0.67/0.87 (* end of lemma zenon_L192_ *) % 0.67/0.87 assert (zenon_L193_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1f0 zenon_H1c7 zenon_H24c zenon_H1eb zenon_H7 zenon_H3 zenon_H25 zenon_H2a zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.87 apply (zenon_L171_); trivial. % 0.67/0.87 apply (zenon_L192_); trivial. % 0.67/0.87 (* end of lemma zenon_L193_ *) % 0.67/0.87 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.87 apply (zenon_L20_); trivial. % 0.67/0.87 apply (zenon_L141_); trivial. % 0.67/0.87 (* end of lemma zenon_L194_ *) % 0.67/0.87 assert (zenon_L195_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.87 apply (zenon_L17_); trivial. % 0.67/0.87 apply (zenon_L194_); trivial. % 0.67/0.87 (* end of lemma zenon_L195_ *) % 0.67/0.87 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H81 zenon_H2e zenon_H2a zenon_H27 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.87 apply (zenon_L195_); trivial. % 0.67/0.87 apply (zenon_L32_); trivial. % 0.67/0.87 (* end of lemma zenon_L196_ *) % 0.67/0.87 assert (zenon_L197_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H241 zenon_H81 zenon_H6d zenon_H79 zenon_H7b zenon_H3b zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62 zenon_H7 zenon_H5 zenon_H3 zenon_H19 zenon_H25 zenon_H27 zenon_H2a zenon_H2e zenon_H84. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_L187_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L4_); trivial. % 0.67/0.87 apply (zenon_L196_); trivial. % 0.67/0.87 (* end of lemma zenon_L197_ *) % 0.67/0.87 assert (zenon_L198_ : (~(hskp27)) -> (hskp27) -> False). % 0.67/0.87 do 0 intro. intros zenon_H24e zenon_H24f. % 0.67/0.87 exact (zenon_H24e zenon_H24f). % 0.67/0.87 (* end of lemma zenon_L198_ *) % 0.67/0.87 assert (zenon_L199_ : ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp27)) -> (~(hskp13)) -> (~(hskp8)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H250 zenon_H24e zenon_H15 zenon_H1ca. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H24f | zenon_intro zenon_H251 ]. % 0.67/0.87 exact (zenon_H24e zenon_H24f). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H16 | zenon_intro zenon_H1cb ]. % 0.67/0.87 exact (zenon_H15 zenon_H16). % 0.67/0.87 exact (zenon_H1ca zenon_H1cb). % 0.67/0.87 (* end of lemma zenon_L199_ *) % 0.67/0.87 assert (zenon_L200_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a12)) -> (c1_1 (a12)) -> (c3_1 (a12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_Hc1 zenon_Ha zenon_H252 zenon_H253 zenon_H254. % 0.67/0.87 generalize (zenon_Hc1 (a12)). zenon_intro zenon_H255. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.67/0.87 exact (zenon_H258 zenon_H252). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 0.67/0.87 exact (zenon_H25a zenon_H253). % 0.67/0.87 exact (zenon_H259 zenon_H254). % 0.67/0.87 (* end of lemma zenon_L200_ *) % 0.67/0.87 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp4)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H25c zenon_H9f zenon_H194 zenon_H9d zenon_H3. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H25f ]. % 0.67/0.87 apply (zenon_L143_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H4 ]. % 0.67/0.87 apply (zenon_L200_); trivial. % 0.67/0.87 exact (zenon_H3 zenon_H4). % 0.67/0.87 (* end of lemma zenon_L201_ *) % 0.67/0.87 assert (zenon_L202_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H260 zenon_H25c zenon_H3 zenon_H9f zenon_H194 zenon_H9d zenon_H15 zenon_H1ca zenon_H250. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.87 apply (zenon_L199_); trivial. % 0.67/0.87 apply (zenon_L201_); trivial. % 0.67/0.87 (* end of lemma zenon_L202_ *) % 0.67/0.87 assert (zenon_L203_ : (forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (c0_1 (a21)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a21))) -> (c2_1 (a21)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H4d zenon_Ha zenon_H31 zenon_H17d zenon_H30 zenon_H32. % 0.67/0.87 generalize (zenon_H4d (a21)). zenon_intro zenon_H261. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H38 | zenon_intro zenon_H246 ]. % 0.67/0.87 exact (zenon_H38 zenon_H31). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H37 ]. % 0.67/0.87 generalize (zenon_H17d (a21)). zenon_intro zenon_H263. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H24b | zenon_intro zenon_H265 ]. % 0.67/0.87 exact (zenon_H247 zenon_H24b). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 0.67/0.87 exact (zenon_H30 zenon_H36). % 0.67/0.87 exact (zenon_H37 zenon_H32). % 0.67/0.87 exact (zenon_H37 zenon_H32). % 0.67/0.87 (* end of lemma zenon_L203_ *) % 0.67/0.87 assert (zenon_L204_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c2_1 (a21)) -> (~(c3_1 (a21))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c0_1 (a21)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H32 zenon_H30 zenon_H17d zenon_H31 zenon_Ha zenon_H144. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H117 | zenon_intro zenon_H1f6 ]. % 0.67/0.87 apply (zenon_L73_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H4d | zenon_intro zenon_H145 ]. % 0.67/0.87 apply (zenon_L203_); trivial. % 0.67/0.87 exact (zenon_H144 zenon_H145). % 0.67/0.87 (* end of lemma zenon_L204_ *) % 0.67/0.87 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp9)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp5)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H266 zenon_H225 zenon_H224 zenon_H223 zenon_H144 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H1ce. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ]. % 0.67/0.87 apply (zenon_L170_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ]. % 0.67/0.87 apply (zenon_L204_); trivial. % 0.67/0.87 exact (zenon_H1ce zenon_H1cf). % 0.67/0.87 (* end of lemma zenon_L205_ *) % 0.67/0.87 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H191 zenon_H241 zenon_H266 zenon_H1ce zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H225 zenon_H224 zenon_H223 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_L202_); trivial. % 0.67/0.87 apply (zenon_L205_); trivial. % 0.67/0.87 (* end of lemma zenon_L206_ *) % 0.67/0.87 assert (zenon_L207_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (c1_1 (a38)) -> (c0_1 (a38)) -> (~(c2_1 (a38))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_Hcd zenon_Hcc zenon_Hcb zenon_Ha zenon_H24e. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ]. % 0.67/0.87 apply (zenon_L170_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ]. % 0.67/0.87 apply (zenon_L51_); trivial. % 0.67/0.87 exact (zenon_H24e zenon_H24f). % 0.67/0.87 (* end of lemma zenon_L207_ *) % 0.67/0.87 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp8)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H1cc zenon_H198 zenon_H197 zenon_H196 zenon_H1ca. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H195 | zenon_intro zenon_H1cd ]. % 0.67/0.87 apply (zenon_L106_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1cb ]. % 0.67/0.87 apply (zenon_L200_); trivial. % 0.67/0.87 exact (zenon_H1ca zenon_H1cb). % 0.67/0.87 (* end of lemma zenon_L208_ *) % 0.67/0.87 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.67/0.87 do 0 intro. intros zenon_Hd6 zenon_H260 zenon_H1cc zenon_H1ca zenon_H198 zenon_H197 zenon_H196 zenon_H223 zenon_H224 zenon_H225 zenon_H268. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.87 apply (zenon_L207_); trivial. % 0.67/0.87 apply (zenon_L208_); trivial. % 0.67/0.87 (* end of lemma zenon_L209_ *) % 0.67/0.87 assert (zenon_L210_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H103 zenon_H260 zenon_H1cc zenon_H1ca zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.87 apply (zenon_L107_); trivial. % 0.67/0.87 apply (zenon_L209_); trivial. % 0.67/0.87 (* end of lemma zenon_L210_ *) % 0.67/0.87 assert (zenon_L211_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H26a zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.87 apply (zenon_L27_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.87 apply (zenon_L106_); trivial. % 0.67/0.87 exact (zenon_H154 zenon_H155). % 0.67/0.87 (* end of lemma zenon_L211_ *) % 0.67/0.87 assert (zenon_L212_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> False). % 0.67/0.87 do 0 intro. intros zenon_He9 zenon_Ha zenon_H194 zenon_H9c zenon_H9d zenon_H9f. % 0.67/0.87 generalize (zenon_He9 (a18)). zenon_intro zenon_H26c. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha8 ]. % 0.67/0.87 exact (zenon_H194 zenon_H1fb). % 0.67/0.87 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ]. % 0.67/0.87 apply (zenon_L40_); trivial. % 0.67/0.87 exact (zenon_Ha4 zenon_H9f). % 0.67/0.87 (* end of lemma zenon_L212_ *) % 0.67/0.87 assert (zenon_L213_ : (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (c0_1 (a27)) -> (c2_1 (a27)) -> (c3_1 (a27)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H178 zenon_Ha zenon_Hd zenon_H23b zenon_He. % 0.67/0.87 generalize (zenon_H178 (a27)). zenon_intro zenon_H26e. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H14 | zenon_intro zenon_H236 ]. % 0.67/0.87 exact (zenon_H14 zenon_Hd). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H13 ]. % 0.67/0.87 exact (zenon_H237 zenon_H23b). % 0.67/0.87 exact (zenon_H13 zenon_He). % 0.67/0.87 (* end of lemma zenon_L213_ *) % 0.67/0.87 assert (zenon_L214_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False). % 0.67/0.87 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hc zenon_H178 zenon_Hd zenon_He. % 0.67/0.87 generalize (zenon_He9 (a27)). zenon_intro zenon_H238. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H12 | zenon_intro zenon_H23a ]. % 0.67/0.87 exact (zenon_Hc zenon_H12). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23b | zenon_intro zenon_H13 ]. % 0.67/0.87 apply (zenon_L213_); trivial. % 0.67/0.87 exact (zenon_H13 zenon_He). % 0.67/0.87 (* end of lemma zenon_L214_ *) % 0.67/0.87 assert (zenon_L215_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_He9 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.87 apply (zenon_L212_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.87 apply (zenon_L214_); trivial. % 0.67/0.87 apply (zenon_L26_); trivial. % 0.67/0.87 (* end of lemma zenon_L215_ *) % 0.67/0.87 assert (zenon_L216_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H26a zenon_H42 zenon_H44 zenon_H43 zenon_He9 zenon_Hc zenon_Hd zenon_He zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.87 apply (zenon_L215_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.87 apply (zenon_L106_); trivial. % 0.67/0.87 exact (zenon_H154 zenon_H155). % 0.67/0.87 (* end of lemma zenon_L216_ *) % 0.67/0.87 assert (zenon_L217_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp12)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp2)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H154 zenon_H196 zenon_H197 zenon_H198 zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_H43 zenon_H44 zenon_H42 zenon_H26a zenon_H5. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.87 apply (zenon_L10_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.87 apply (zenon_L216_); trivial. % 0.67/0.87 exact (zenon_H5 zenon_H6). % 0.67/0.87 (* end of lemma zenon_L217_ *) % 0.67/0.87 assert (zenon_L218_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_He zenon_Hd zenon_Hc zenon_H9f zenon_H9d zenon_H194 zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.87 apply (zenon_L211_); trivial. % 0.67/0.87 apply (zenon_L217_); trivial. % 0.67/0.87 (* end of lemma zenon_L218_ *) % 0.67/0.87 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp5)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H189 zenon_H266 zenon_H225 zenon_H224 zenon_H223 zenon_H1ce. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ]. % 0.67/0.87 apply (zenon_L170_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ]. % 0.67/0.87 apply (zenon_L101_); trivial. % 0.67/0.87 exact (zenon_H1ce zenon_H1cf). % 0.67/0.87 (* end of lemma zenon_L219_ *) % 0.67/0.87 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H25c zenon_H3 zenon_H250 zenon_H7 zenon_H5 zenon_H3b zenon_H26a zenon_H25 zenon_H6d zenon_H17b zenon_Hf4 zenon_H2e zenon_H62 zenon_H84 zenon_H241 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.87 apply (zenon_L210_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_L202_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L4_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.87 apply (zenon_L17_); trivial. % 0.67/0.87 apply (zenon_L218_); trivial. % 0.67/0.87 apply (zenon_L219_); trivial. % 0.67/0.87 (* end of lemma zenon_L220_ *) % 0.67/0.87 assert (zenon_L221_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp24)) -> (~(hskp3)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H17 zenon_H25 zenon_H43 zenon_H44 zenon_H42 zenon_H6d zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.87 apply (zenon_L143_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.87 apply (zenon_L27_); trivial. % 0.67/0.87 apply (zenon_L144_); trivial. % 0.67/0.87 (* end of lemma zenon_L221_ *) % 0.67/0.87 assert (zenon_L222_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H206 zenon_H42 zenon_H44 zenon_H43 zenon_He9 zenon_Hc zenon_Hd zenon_He zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.87 apply (zenon_L143_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.87 apply (zenon_L215_); trivial. % 0.67/0.87 apply (zenon_L144_); trivial. % 0.67/0.87 (* end of lemma zenon_L222_ *) % 0.67/0.87 assert (zenon_L223_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp2)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_H43 zenon_H44 zenon_H42 zenon_H206 zenon_H5. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.87 apply (zenon_L10_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.87 apply (zenon_L222_); trivial. % 0.67/0.87 exact (zenon_H5 zenon_H6). % 0.67/0.87 (* end of lemma zenon_L223_ *) % 0.67/0.87 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (~(c1_1 (a27))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_He zenon_Hd zenon_Hc zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.87 apply (zenon_L221_); trivial. % 0.67/0.87 apply (zenon_L223_); trivial. % 0.67/0.87 (* end of lemma zenon_L224_ *) % 0.67/0.87 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H80 zenon_H62 zenon_H2e zenon_Hf4 zenon_H5 zenon_H17b zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H30 zenon_H31 zenon_H32 zenon_H3b. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.87 apply (zenon_L17_); trivial. % 0.67/0.87 apply (zenon_L224_); trivial. % 0.67/0.87 (* end of lemma zenon_L225_ *) % 0.67/0.87 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H23e zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H9d zenon_H194 zenon_H9f zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H3 zenon_H5 zenon_H7. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L4_); trivial. % 0.67/0.87 apply (zenon_L225_); trivial. % 0.67/0.87 (* end of lemma zenon_L226_ *) % 0.67/0.87 assert (zenon_L227_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H191 zenon_H241 zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H5 zenon_H7 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_L202_); trivial. % 0.67/0.87 apply (zenon_L226_); trivial. % 0.67/0.87 (* end of lemma zenon_L227_ *) % 0.67/0.87 assert (zenon_L228_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1a1 zenon_Hf4 zenon_H17b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H250 zenon_H1ca zenon_H25c zenon_H260 zenon_H84 zenon_H2e zenon_H2a zenon_H27 zenon_H25 zenon_H19 zenon_H3 zenon_H5 zenon_H7 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H3b zenon_H7b zenon_H6d zenon_H81 zenon_H241. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.87 apply (zenon_L197_); trivial. % 0.67/0.87 apply (zenon_L227_); trivial. % 0.67/0.87 (* end of lemma zenon_L228_ *) % 0.67/0.87 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H241 zenon_H84 zenon_H62 zenon_H2e zenon_Hf4 zenon_H17b zenon_H6d zenon_H25 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H3b zenon_H5 zenon_H7 zenon_H250 zenon_H3 zenon_H25c zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.87 apply (zenon_L210_); trivial. % 0.67/0.87 apply (zenon_L227_); trivial. % 0.67/0.87 (* end of lemma zenon_L229_ *) % 0.67/0.87 assert (zenon_L230_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c1_1 (a9)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H270 zenon_Ha zenon_H149 zenon_H14a zenon_H271. % 0.67/0.87 generalize (zenon_H270 (a9)). zenon_intro zenon_H272. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H14f | zenon_intro zenon_H274 ]. % 0.67/0.87 exact (zenon_H149 zenon_H14f). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H151 | zenon_intro zenon_H275 ]. % 0.67/0.87 exact (zenon_H14a zenon_H151). % 0.67/0.87 exact (zenon_H275 zenon_H271). % 0.67/0.87 (* end of lemma zenon_L230_ *) % 0.67/0.87 assert (zenon_L231_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H270 zenon_H149 zenon_H14a. % 0.67/0.87 generalize (zenon_H1d6 (a9)). zenon_intro zenon_H276. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H271 | zenon_intro zenon_H278 ]. % 0.67/0.87 apply (zenon_L230_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H14f | zenon_intro zenon_H151 ]. % 0.67/0.87 exact (zenon_H149 zenon_H14f). % 0.67/0.87 exact (zenon_H14a zenon_H151). % 0.67/0.87 (* end of lemma zenon_L231_ *) % 0.67/0.87 assert (zenon_L232_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H22e zenon_H14a zenon_H149 zenon_H270 zenon_Ha zenon_Ha9 zenon_H39. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ]. % 0.67/0.87 apply (zenon_L231_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ]. % 0.67/0.87 exact (zenon_Ha9 zenon_Haa). % 0.67/0.87 exact (zenon_H39 zenon_H3a). % 0.67/0.87 (* end of lemma zenon_L232_ *) % 0.67/0.87 assert (zenon_L233_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(hskp21)) -> (~(hskp20)) -> (~(c0_1 (a28))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> (~(hskp0)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H2a zenon_H88 zenon_H86 zenon_H87 zenon_Ha zenon_H22e zenon_H14a zenon_H149 zenon_Ha9 zenon_H39 zenon_Hdb zenon_Hdc zenon_Hdd zenon_H279 zenon_H25 zenon_H27. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H64 | zenon_intro zenon_H27a ]. % 0.67/0.87 apply (zenon_L54_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H270 | zenon_intro zenon_H8f ]. % 0.67/0.87 apply (zenon_L232_); trivial. % 0.67/0.87 apply (zenon_L36_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ]. % 0.67/0.87 exact (zenon_H25 zenon_H26). % 0.67/0.87 exact (zenon_H27 zenon_H28). % 0.67/0.87 (* end of lemma zenon_L233_ *) % 0.67/0.87 assert (zenon_L234_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (~(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (~(c0_1 (a28))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H279 zenon_H88 zenon_H86 zenon_H87 zenon_H149 zenon_H14a zenon_H39 zenon_H22e zenon_Hdd zenon_Hdc zenon_Hdb zenon_Ha zenon_H25 zenon_H27 zenon_H2a. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.87 apply (zenon_L233_); trivial. % 0.67/0.87 apply (zenon_L173_); trivial. % 0.67/0.87 (* end of lemma zenon_L234_ *) % 0.67/0.87 assert (zenon_L235_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (ndr1_0) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> False). % 0.67/0.87 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_H42 zenon_H44 zenon_H43 zenon_Ha zenon_Hb1 zenon_He7. % 0.67/0.87 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H64 | zenon_intro zenon_He8 ]. % 0.67/0.87 apply (zenon_L27_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb2 ]. % 0.67/0.87 exact (zenon_Haf zenon_Hb0). % 0.67/0.87 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.87 apply (zenon_L56_); trivial. % 0.67/0.87 (* end of lemma zenon_L235_ *) % 0.67/0.87 assert (zenon_L236_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H5e zenon_H2e zenon_H2a zenon_H27 zenon_He7 zenon_Hb1 zenon_H25 zenon_H6d zenon_He6. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.87 apply (zenon_L235_); trivial. % 0.67/0.87 apply (zenon_L13_); trivial. % 0.67/0.87 (* end of lemma zenon_L236_ *) % 0.67/0.87 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H10c zenon_H62 zenon_H2e zenon_He7 zenon_Hb1 zenon_H6d zenon_He6 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H87 zenon_H86 zenon_H88 zenon_H279 zenon_H1 zenon_Hd4 zenon_H230 zenon_H103. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.87 apply (zenon_L234_); trivial. % 0.67/0.87 apply (zenon_L236_); trivial. % 0.67/0.87 (* end of lemma zenon_L237_ *) % 0.67/0.87 assert (zenon_L238_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (c2_1 (a19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H10b zenon_H62 zenon_H2e zenon_He7 zenon_Hb1 zenon_H6d zenon_He6 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H87 zenon_H86 zenon_H88 zenon_H279 zenon_H1 zenon_Hd4 zenon_H230 zenon_H103 zenon_H144 zenon_H5 zenon_H146. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.87 apply (zenon_L85_); trivial. % 0.67/0.87 apply (zenon_L237_); trivial. % 0.67/0.87 (* end of lemma zenon_L238_ *) % 0.67/0.87 assert (zenon_L239_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1c7 zenon_H1eb zenon_H24c zenon_H146 zenon_H144 zenon_H279 zenon_H149 zenon_H14a zenon_H25 zenon_H2a zenon_He6 zenon_H6d zenon_Hb1 zenon_He7 zenon_H10b zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.87 apply (zenon_L185_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L238_); trivial. % 0.67/0.87 apply (zenon_L186_); trivial. % 0.67/0.87 apply (zenon_L182_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.87 apply (zenon_L238_); trivial. % 0.67/0.87 apply (zenon_L190_); trivial. % 0.67/0.87 apply (zenon_L182_); trivial. % 0.67/0.87 (* end of lemma zenon_L239_ *) % 0.67/0.87 assert (zenon_L240_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp3)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H27b zenon_H254 zenon_H253 zenon_H252 zenon_Ha zenon_H162 zenon_H25. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H27c ]. % 0.67/0.87 apply (zenon_L200_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H163 | zenon_intro zenon_H26 ]. % 0.67/0.87 exact (zenon_H162 zenon_H163). % 0.67/0.87 exact (zenon_H25 zenon_H26). % 0.67/0.87 (* end of lemma zenon_L240_ *) % 0.67/0.87 assert (zenon_L241_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a12)) -> (c2_1 (a12)) -> (c3_1 (a12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H63 zenon_Ha zenon_H253 zenon_H27d zenon_H254. % 0.67/0.87 generalize (zenon_H63 (a12)). zenon_intro zenon_H27e. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H25a | zenon_intro zenon_H280 ]. % 0.67/0.87 exact (zenon_H25a zenon_H253). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H281 | zenon_intro zenon_H259 ]. % 0.67/0.87 exact (zenon_H281 zenon_H27d). % 0.67/0.87 exact (zenon_H259 zenon_H254). % 0.67/0.87 (* end of lemma zenon_L241_ *) % 0.67/0.87 assert (zenon_L242_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (ndr1_0) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a12)) -> (c3_1 (a12)) -> (c0_1 (a12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_Hca zenon_Ha zenon_H63 zenon_H253 zenon_H254 zenon_H252. % 0.67/0.87 generalize (zenon_Hca (a12)). zenon_intro zenon_H282. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H9 | zenon_intro zenon_H283 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H27d | zenon_intro zenon_H284 ]. % 0.67/0.87 apply (zenon_L241_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H258 | zenon_intro zenon_H25a ]. % 0.67/0.87 exact (zenon_H258 zenon_H252). % 0.67/0.87 exact (zenon_H25a zenon_H253). % 0.67/0.87 (* end of lemma zenon_L242_ *) % 0.67/0.87 assert (zenon_L243_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (c1_1 (a12)) -> (c3_1 (a12)) -> (c0_1 (a12)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H63 zenon_H253 zenon_H254 zenon_H252. % 0.67/0.87 generalize (zenon_H1ae (a12)). zenon_intro zenon_H285. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_H9 | zenon_intro zenon_H286 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27d | zenon_intro zenon_H287 ]. % 0.67/0.87 apply (zenon_L241_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H258 | zenon_intro zenon_H259 ]. % 0.67/0.87 exact (zenon_H258 zenon_H252). % 0.67/0.87 exact (zenon_H259 zenon_H254). % 0.67/0.87 (* end of lemma zenon_L243_ *) % 0.67/0.87 assert (zenon_L244_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1c8 zenon_H252 zenon_H254 zenon_H253 zenon_H63 zenon_Ha zenon_H196 zenon_H197 zenon_H198. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.87 apply (zenon_L242_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.87 apply (zenon_L243_); trivial. % 0.67/0.87 apply (zenon_L106_); trivial. % 0.67/0.87 (* end of lemma zenon_L244_ *) % 0.67/0.87 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H175 zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H1c8 zenon_H252 zenon_H254 zenon_H253 zenon_H196 zenon_H197 zenon_H198. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.87 apply (zenon_L61_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.87 apply (zenon_L98_); trivial. % 0.67/0.87 apply (zenon_L244_); trivial. % 0.67/0.87 (* end of lemma zenon_L245_ *) % 0.67/0.87 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H174 zenon_H17b zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H25 zenon_H27b. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.87 apply (zenon_L240_); trivial. % 0.67/0.87 apply (zenon_L245_); trivial. % 0.67/0.87 (* end of lemma zenon_L246_ *) % 0.67/0.87 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H10f zenon_H103 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.87 apply (zenon_L107_); trivial. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.87 apply (zenon_L207_); trivial. % 0.67/0.87 apply (zenon_L246_); trivial. % 0.67/0.87 (* end of lemma zenon_L247_ *) % 0.67/0.87 assert (zenon_L248_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y)))))) -> (~(hskp25)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1d4 zenon_H252 zenon_H254 zenon_H253 zenon_Ha zenon_Hca zenon_H1d0. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 0.67/0.87 apply (zenon_L200_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ]. % 0.67/0.87 apply (zenon_L242_); trivial. % 0.67/0.87 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.87 (* end of lemma zenon_L248_ *) % 0.67/0.87 assert (zenon_L249_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c0_1 (a12)) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (~(hskp25)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1d4 zenon_H252 zenon_H254 zenon_H253 zenon_Ha zenon_H1ae zenon_H1d0. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1d5 ]. % 0.67/0.87 apply (zenon_L200_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H63 | zenon_intro zenon_H1d1 ]. % 0.67/0.87 apply (zenon_L243_); trivial. % 0.67/0.87 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.87 (* end of lemma zenon_L249_ *) % 0.67/0.87 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H25b zenon_H1c8 zenon_H1d0 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.87 apply (zenon_L248_); trivial. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.87 apply (zenon_L249_); trivial. % 0.67/0.87 apply (zenon_L106_); trivial. % 0.67/0.87 (* end of lemma zenon_L250_ *) % 0.67/0.87 assert (zenon_L251_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d0 zenon_H1d4 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H268. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.87 apply (zenon_L207_); trivial. % 0.67/0.87 apply (zenon_L250_); trivial. % 0.67/0.87 (* end of lemma zenon_L251_ *) % 0.67/0.87 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H88 zenon_H87 zenon_H86 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H260. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.87 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.87 apply (zenon_L251_); trivial. % 0.67/0.87 apply (zenon_L138_); trivial. % 0.67/0.87 (* end of lemma zenon_L252_ *) % 0.67/0.87 assert (zenon_L253_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1c4 zenon_H103 zenon_H1ef zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H1c8 zenon_H260 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.87 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.87 apply (zenon_L107_); trivial. % 0.67/0.87 apply (zenon_L252_); trivial. % 0.67/0.87 (* end of lemma zenon_L253_ *) % 0.67/0.87 assert (zenon_L254_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.87 do 0 intro. intros zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d4 zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f zenon_H81 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H27 zenon_H23c zenon_H241. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.87 apply (zenon_L181_); trivial. % 0.67/0.87 apply (zenon_L247_); trivial. % 0.67/0.87 apply (zenon_L184_); trivial. % 0.67/0.87 apply (zenon_L253_); trivial. % 0.67/0.87 (* end of lemma zenon_L254_ *) % 0.67/0.87 assert (zenon_L255_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False). % 0.67/0.87 do 0 intro. intros zenon_H64 zenon_Ha zenon_H9d zenon_H6f zenon_H194 zenon_H9f. % 0.67/0.87 generalize (zenon_H64 (a18)). zenon_intro zenon_Ha6. % 0.67/0.87 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha7 ]. % 0.67/0.87 exact (zenon_H9 zenon_Ha). % 0.67/0.87 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha8 ]. % 0.67/0.88 exact (zenon_H9d zenon_Ha3). % 0.67/0.88 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_Ha4 ]. % 0.67/0.88 generalize (zenon_H6f (a18)). zenon_intro zenon_H288. % 0.67/0.88 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_H9 | zenon_intro zenon_H289 ]. % 0.67/0.88 exact (zenon_H9 zenon_Ha). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H1fb | zenon_intro zenon_Ha2 ]. % 0.67/0.88 exact (zenon_H194 zenon_H1fb). % 0.67/0.88 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ]. % 0.67/0.88 exact (zenon_Ha5 zenon_H9e). % 0.67/0.88 exact (zenon_Ha4 zenon_H9f). % 0.67/0.88 exact (zenon_Ha4 zenon_H9f). % 0.67/0.88 (* end of lemma zenon_L255_ *) % 0.67/0.88 assert (zenon_L256_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (c3_1 (a18)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H64 zenon_Ha zenon_H9d zenon_H194 zenon_H9f. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.88 apply (zenon_L170_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.88 apply (zenon_L136_); trivial. % 0.67/0.88 apply (zenon_L255_); trivial. % 0.67/0.88 (* end of lemma zenon_L256_ *) % 0.67/0.88 assert (zenon_L257_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H196 zenon_H197 zenon_H198 zenon_H26a. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.88 apply (zenon_L256_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.88 apply (zenon_L106_); trivial. % 0.67/0.88 exact (zenon_H154 zenon_H155). % 0.67/0.88 apply (zenon_L219_); trivial. % 0.67/0.88 (* end of lemma zenon_L257_ *) % 0.67/0.88 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H241 zenon_H23c zenon_H27 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.88 apply (zenon_L254_); trivial. % 0.67/0.88 apply (zenon_L257_); trivial. % 0.67/0.88 (* end of lemma zenon_L258_ *) % 0.67/0.88 assert (zenon_L259_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H19f zenon_H268 zenon_H27b zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1ef zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H10b zenon_He7 zenon_H6d zenon_He6 zenon_H2a zenon_H25 zenon_H14a zenon_H149 zenon_H279 zenon_H146 zenon_H24c zenon_H1eb zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.88 apply (zenon_L171_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.88 apply (zenon_L239_); trivial. % 0.67/0.88 apply (zenon_L258_); trivial. % 0.67/0.88 (* end of lemma zenon_L259_ *) % 0.67/0.88 assert (zenon_L260_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp20)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H28a zenon_Hdd zenon_Hdc zenon_Hea zenon_Ha zenon_H152 zenon_H39. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ]. % 0.67/0.88 apply (zenon_L58_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ]. % 0.67/0.88 exact (zenon_H152 zenon_H153). % 0.67/0.88 exact (zenon_H39 zenon_H3a). % 0.67/0.88 (* end of lemma zenon_L260_ *) % 0.67/0.88 assert (zenon_L261_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> (~(hskp24)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(hskp14)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H137 zenon_H28c zenon_H25 zenon_H17 zenon_H6d zenon_H15b zenon_H15a zenon_H159 zenon_H225 zenon_H224 zenon_H223 zenon_H115 zenon_Hd4 zenon_H118 zenon_H119 zenon_H11a zenon_H98 zenon_H121 zenon_H5f. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H113 | zenon_intro zenon_H134 ]. % 0.67/0.88 apply (zenon_L75_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Ha. zenon_intro zenon_H135. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H123. zenon_intro zenon_H136. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H124. zenon_intro zenon_H12c. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.88 apply (zenon_L170_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.88 apply (zenon_L90_); trivial. % 0.67/0.88 apply (zenon_L79_); trivial. % 0.67/0.88 (* end of lemma zenon_L261_ *) % 0.67/0.88 assert (zenon_L262_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H7d zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_H14a zenon_H14b. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.88 apply (zenon_L73_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.88 apply (zenon_L28_); trivial. % 0.67/0.88 apply (zenon_L86_); trivial. % 0.67/0.88 (* end of lemma zenon_L262_ *) % 0.67/0.88 assert (zenon_L263_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a99))/\((c2_1 (a99))/\(~(c0_1 (a99))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((hskp29)\/((hskp26)\/(hskp14))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H112 zenon_H23c zenon_H146 zenon_H5 zenon_H144 zenon_H62 zenon_H1f5 zenon_H41 zenon_H28e zenon_H98 zenon_H28a zenon_H225 zenon_H224 zenon_H223 zenon_H137 zenon_H28c zenon_H25 zenon_H6d zenon_H115 zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H5f zenon_H27 zenon_H2a zenon_H2e zenon_H18d zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H10b. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.88 apply (zenon_L85_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H222 | zenon_intro zenon_H28f ]. % 0.67/0.88 apply (zenon_L170_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hea | zenon_intro zenon_H99 ]. % 0.67/0.88 apply (zenon_L260_); trivial. % 0.67/0.88 exact (zenon_H98 zenon_H99). % 0.67/0.88 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.88 apply (zenon_L261_); trivial. % 0.67/0.88 apply (zenon_L13_); trivial. % 0.67/0.88 apply (zenon_L194_); trivial. % 0.67/0.88 apply (zenon_L262_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 (* end of lemma zenon_L263_ *) % 0.67/0.88 assert (zenon_L264_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a18))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H26a zenon_H9f zenon_H194 zenon_H6f zenon_H9d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.88 apply (zenon_L255_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.88 apply (zenon_L106_); trivial. % 0.67/0.88 exact (zenon_H154 zenon_H155). % 0.67/0.88 (* end of lemma zenon_L264_ *) % 0.67/0.88 assert (zenon_L265_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H118 zenon_H119 zenon_H11a zenon_H26a zenon_H198 zenon_H197 zenon_H196 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.88 apply (zenon_L73_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.88 apply (zenon_L264_); trivial. % 0.67/0.88 apply (zenon_L86_); trivial. % 0.67/0.88 apply (zenon_L219_); trivial. % 0.67/0.88 (* end of lemma zenon_L265_ *) % 0.67/0.88 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H118 zenon_H119 zenon_H11a zenon_H26a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.88 apply (zenon_L210_); trivial. % 0.67/0.88 apply (zenon_L265_); trivial. % 0.67/0.88 (* end of lemma zenon_L266_ *) % 0.67/0.88 assert (zenon_L267_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.88 apply (zenon_L174_); trivial. % 0.67/0.88 apply (zenon_L194_); trivial. % 0.67/0.88 apply (zenon_L262_); trivial. % 0.67/0.88 (* end of lemma zenon_L267_ *) % 0.67/0.88 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.88 apply (zenon_L195_); trivial. % 0.67/0.88 apply (zenon_L262_); trivial. % 0.67/0.88 (* end of lemma zenon_L268_ *) % 0.67/0.88 assert (zenon_L269_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H19 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H27 zenon_H23c zenon_H112. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L267_); trivial. % 0.67/0.88 apply (zenon_L180_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L267_); trivial. % 0.67/0.88 apply (zenon_L268_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 (* end of lemma zenon_L269_ *) % 0.67/0.88 assert (zenon_L270_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H5a zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H19 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.88 apply (zenon_L269_); trivial. % 0.67/0.88 apply (zenon_L258_); trivial. % 0.67/0.88 (* end of lemma zenon_L270_ *) % 0.67/0.88 assert (zenon_L271_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (c2_1 (a13)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1b zenon_Ha zenon_H139 zenon_H13a zenon_H290. % 0.67/0.88 generalize (zenon_H1b (a13)). zenon_intro zenon_H291. % 0.67/0.88 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H9 | zenon_intro zenon_H292 ]. % 0.67/0.88 exact (zenon_H9 zenon_Ha). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H13f | zenon_intro zenon_H293 ]. % 0.67/0.88 exact (zenon_H139 zenon_H13f). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H141 | zenon_intro zenon_H294 ]. % 0.67/0.88 exact (zenon_H13a zenon_H141). % 0.67/0.88 exact (zenon_H294 zenon_H290). % 0.67/0.88 (* end of lemma zenon_L271_ *) % 0.67/0.88 assert (zenon_L272_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c1_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a13))) -> (~(c3_1 (a13))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1d6 zenon_Ha zenon_H13a zenon_H1b zenon_H139 zenon_H13b. % 0.67/0.88 generalize (zenon_H1d6 (a13)). zenon_intro zenon_H295. % 0.67/0.88 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H9 | zenon_intro zenon_H296 ]. % 0.67/0.88 exact (zenon_H9 zenon_Ha). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H141 | zenon_intro zenon_H297 ]. % 0.67/0.88 exact (zenon_H13a zenon_H141). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H290 | zenon_intro zenon_H140 ]. % 0.67/0.88 apply (zenon_L271_); trivial. % 0.67/0.88 exact (zenon_H13b zenon_H140). % 0.67/0.88 (* end of lemma zenon_L272_ *) % 0.67/0.88 assert (zenon_L273_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp20)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H22e zenon_H13b zenon_H139 zenon_H1b zenon_H13a zenon_Ha zenon_Ha9 zenon_H39. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H22f ]. % 0.67/0.88 apply (zenon_L272_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Haa | zenon_intro zenon_H3a ]. % 0.67/0.88 exact (zenon_Ha9 zenon_Haa). % 0.67/0.88 exact (zenon_H39 zenon_H3a). % 0.67/0.88 (* end of lemma zenon_L273_ *) % 0.67/0.88 assert (zenon_L274_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H22e zenon_H13b zenon_H139 zenon_H13a zenon_Ha zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.67/0.88 apply (zenon_L273_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H26 | zenon_intro zenon_H28 ]. % 0.67/0.88 exact (zenon_H25 zenon_H26). % 0.67/0.88 exact (zenon_H27 zenon_H28). % 0.67/0.88 apply (zenon_L173_); trivial. % 0.67/0.88 apply (zenon_L24_); trivial. % 0.67/0.88 apply (zenon_L262_); trivial. % 0.67/0.88 (* end of lemma zenon_L274_ *) % 0.67/0.88 assert (zenon_L275_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a19)) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H10b zenon_H81 zenon_H1a7 zenon_H14b zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_H279 zenon_H88 zenon_H86 zenon_H87 zenon_H149 zenon_H14a zenon_H22e zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.88 apply (zenon_L85_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.88 apply (zenon_L234_); trivial. % 0.67/0.88 apply (zenon_L194_); trivial. % 0.67/0.88 apply (zenon_L262_); trivial. % 0.67/0.88 (* end of lemma zenon_L275_ *) % 0.67/0.88 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1c4 zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_H19 zenon_H146 zenon_H5 zenon_H144 zenon_H62 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H2a zenon_H27 zenon_H25 zenon_H22e zenon_H14a zenon_H149 zenon_H279 zenon_H230 zenon_H103 zenon_H14b zenon_H1a7 zenon_H81 zenon_H10b zenon_H223 zenon_H224 zenon_H225 zenon_H23c zenon_H112. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L275_); trivial. % 0.67/0.88 apply (zenon_L186_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L275_); trivial. % 0.67/0.88 apply (zenon_L268_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 (* end of lemma zenon_L276_ *) % 0.67/0.88 assert (zenon_L277_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1c7 zenon_H146 zenon_H5 zenon_H279 zenon_H10b zenon_H112 zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H103 zenon_H230 zenon_H22e zenon_H13b zenon_H139 zenon_H13a zenon_Ha zenon_H25 zenon_H27 zenon_H2a zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19 zenon_H2e zenon_H84 zenon_H3b zenon_H144 zenon_H1f5 zenon_H241. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L274_); trivial. % 0.67/0.88 apply (zenon_L186_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.88 apply (zenon_L274_); trivial. % 0.67/0.88 apply (zenon_L268_); trivial. % 0.67/0.88 apply (zenon_L182_); trivial. % 0.67/0.88 apply (zenon_L276_); trivial. % 0.67/0.88 (* end of lemma zenon_L277_ *) % 0.67/0.88 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H206 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.88 apply (zenon_L143_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.88 apply (zenon_L256_); trivial. % 0.67/0.88 apply (zenon_L144_); trivial. % 0.67/0.88 (* end of lemma zenon_L278_ *) % 0.67/0.88 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H23c zenon_H27 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H223 zenon_H224 zenon_H225 zenon_H232 zenon_H81 zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.88 apply (zenon_L254_); trivial. % 0.67/0.88 apply (zenon_L278_); trivial. % 0.67/0.88 (* end of lemma zenon_L279_ *) % 0.67/0.88 assert (zenon_L280_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp3)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H19f zenon_H268 zenon_H27b zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1ef zenon_H241 zenon_H3b zenon_H84 zenon_H2e zenon_Hf4 zenon_H5 zenon_H19 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H10b zenon_He7 zenon_H6d zenon_He6 zenon_H2a zenon_H25 zenon_H14a zenon_H149 zenon_H279 zenon_H146 zenon_H24c zenon_H1eb zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.88 apply (zenon_L171_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.88 apply (zenon_L239_); trivial. % 0.67/0.88 apply (zenon_L279_); trivial. % 0.67/0.88 (* end of lemma zenon_L280_ *) % 0.67/0.88 assert (zenon_L281_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H9f zenon_H194 zenon_H9d zenon_H64 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.88 apply (zenon_L73_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.88 apply (zenon_L255_); trivial. % 0.67/0.88 apply (zenon_L86_); trivial. % 0.67/0.88 (* end of lemma zenon_L281_ *) % 0.67/0.88 assert (zenon_L282_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H191 zenon_H206 zenon_H14b zenon_H14a zenon_H149 zenon_H118 zenon_H119 zenon_H11a zenon_H1a7 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.88 apply (zenon_L143_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.88 apply (zenon_L281_); trivial. % 0.67/0.88 apply (zenon_L144_); trivial. % 0.67/0.88 (* end of lemma zenon_L282_ *) % 0.67/0.88 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.88 apply (zenon_L210_); trivial. % 0.67/0.88 apply (zenon_L282_); trivial. % 0.67/0.88 (* end of lemma zenon_L283_ *) % 0.67/0.88 assert (zenon_L284_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H5a zenon_H19f zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H103 zenon_H230 zenon_H22e zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H19 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.88 apply (zenon_L269_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.88 apply (zenon_L254_); trivial. % 0.67/0.88 apply (zenon_L282_); trivial. % 0.67/0.88 (* end of lemma zenon_L284_ *) % 0.67/0.88 assert (zenon_L285_ : ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp21)) -> (~(hskp13)) -> (~(hskp24)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H298 zenon_Ha9 zenon_H15 zenon_H17. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_Haa | zenon_intro zenon_H1a ]. % 0.67/0.88 exact (zenon_Ha9 zenon_Haa). % 0.67/0.88 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.67/0.88 exact (zenon_H15 zenon_H16). % 0.67/0.88 exact (zenon_H17 zenon_H18). % 0.67/0.88 (* end of lemma zenon_L285_ *) % 0.67/0.88 assert (zenon_L286_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H29 zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.88 apply (zenon_L118_); trivial. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.88 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.88 apply (zenon_L10_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.88 apply (zenon_L120_); trivial. % 0.67/0.88 exact (zenon_H5 zenon_H6). % 0.67/0.88 (* end of lemma zenon_L286_ *) % 0.67/0.88 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a12)) -> (c1_1 (a12)) -> (c0_1 (a12)) -> (~(hskp7)) -> False). % 0.67/0.88 do 0 intro. intros zenon_H59 zenon_Hc5 zenon_H254 zenon_H253 zenon_H252 zenon_Hb1. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc6 ]. % 0.67/0.88 apply (zenon_L21_); trivial. % 0.67/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hb2 ]. % 0.67/0.88 apply (zenon_L200_); trivial. % 0.67/0.88 exact (zenon_Hb1 zenon_Hb2). % 0.67/0.88 (* end of lemma zenon_L287_ *) % 0.67/0.88 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.88 do 0 intro. intros zenon_H25b zenon_H5f zenon_Hc5 zenon_Hb1 zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.88 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.88 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.88 apply (zenon_L20_); trivial. % 0.67/0.88 apply (zenon_L287_); trivial. % 0.67/0.88 (* end of lemma zenon_L288_ *) % 0.67/0.88 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.67/0.88 do 0 intro. intros zenon_Hd6 zenon_H260 zenon_H5f zenon_Hc5 zenon_Hb1 zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268. % 0.67/0.88 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.88 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.89 apply (zenon_L207_); trivial. % 0.67/0.89 apply (zenon_L288_); trivial. % 0.67/0.89 (* end of lemma zenon_L289_ *) % 0.67/0.89 assert (zenon_L290_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H15 zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.89 apply (zenon_L174_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.89 apply (zenon_L285_); trivial. % 0.67/0.89 apply (zenon_L286_); trivial. % 0.67/0.89 apply (zenon_L289_); trivial. % 0.67/0.89 apply (zenon_L175_); trivial. % 0.67/0.89 apply (zenon_L180_); trivial. % 0.67/0.89 apply (zenon_L182_); trivial. % 0.67/0.89 (* end of lemma zenon_L290_ *) % 0.67/0.89 assert (zenon_L291_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H241 zenon_H57 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L290_); trivial. % 0.67/0.89 apply (zenon_L184_); trivial. % 0.67/0.89 (* end of lemma zenon_L291_ *) % 0.67/0.89 assert (zenon_L292_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(hskp4)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1c7 zenon_H24c zenon_H1eb zenon_H3 zenon_H7 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84 zenon_H3b zenon_H5a zenon_H241. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.89 apply (zenon_L291_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L290_); trivial. % 0.67/0.89 apply (zenon_L191_); trivial. % 0.67/0.89 (* end of lemma zenon_L292_ *) % 0.67/0.89 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L125_); trivial. % 0.67/0.89 apply (zenon_L257_); trivial. % 0.67/0.89 (* end of lemma zenon_L293_ *) % 0.67/0.89 assert (zenon_L294_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H19f zenon_H1c8 zenon_H241 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H268 zenon_H298 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H7 zenon_H3 zenon_H1eb zenon_H24c zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.89 apply (zenon_L171_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L292_); trivial. % 0.67/0.89 apply (zenon_L293_); trivial. % 0.67/0.89 (* end of lemma zenon_L294_ *) % 0.67/0.89 assert (zenon_L295_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H19f zenon_H1c8 zenon_H103 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L142_); trivial. % 0.67/0.89 apply (zenon_L293_); trivial. % 0.67/0.89 (* end of lemma zenon_L295_ *) % 0.67/0.89 assert (zenon_L296_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a13))) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H13b zenon_H139 zenon_H1b zenon_H13a zenon_H26a zenon_H9f zenon_H194 zenon_H9d zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.89 apply (zenon_L272_); trivial. % 0.67/0.89 apply (zenon_L264_); trivial. % 0.67/0.89 (* end of lemma zenon_L296_ *) % 0.67/0.89 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L125_); trivial. % 0.67/0.89 apply (zenon_L278_); trivial. % 0.67/0.89 (* end of lemma zenon_L297_ *) % 0.67/0.89 assert (zenon_L298_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H19f zenon_H1c8 zenon_H241 zenon_H5a zenon_H3b zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H268 zenon_H298 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112 zenon_H7 zenon_H3 zenon_H1eb zenon_H24c zenon_H1c7 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.89 apply (zenon_L171_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L292_); trivial. % 0.67/0.89 apply (zenon_L297_); trivial. % 0.67/0.89 (* end of lemma zenon_L298_ *) % 0.67/0.89 assert (zenon_L299_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp0)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H206 zenon_H27 zenon_H223 zenon_H224 zenon_H225 zenon_H23c zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.89 apply (zenon_L143_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ]. % 0.67/0.89 apply (zenon_L41_); trivial. % 0.67/0.89 exact (zenon_H27 zenon_H28). % 0.67/0.89 apply (zenon_L144_); trivial. % 0.67/0.89 (* end of lemma zenon_L299_ *) % 0.67/0.89 assert (zenon_L300_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H8f zenon_Ha zenon_H30 zenon_H31 zenon_H32. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.89 apply (zenon_L35_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.89 apply (zenon_L136_); trivial. % 0.67/0.89 apply (zenon_L189_); trivial. % 0.67/0.89 (* end of lemma zenon_L300_ *) % 0.67/0.89 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H18e zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H30 zenon_H31 zenon_H32. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.89 apply (zenon_L90_); trivial. % 0.67/0.89 apply (zenon_L300_); trivial. % 0.67/0.89 (* end of lemma zenon_L301_ *) % 0.67/0.89 assert (zenon_L302_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H241 zenon_H18d zenon_H28c zenon_H86 zenon_H87 zenon_H88 zenon_H1eb zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156 zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L290_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.89 apply (zenon_L89_); trivial. % 0.67/0.89 apply (zenon_L301_); trivial. % 0.67/0.89 (* end of lemma zenon_L302_ *) % 0.67/0.89 assert (zenon_L303_ : (forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H85 zenon_Ha zenon_H158 zenon_H17e zenon_H180 zenon_H17f. % 0.67/0.89 generalize (zenon_H85 (a20)). zenon_intro zenon_H299. % 0.67/0.89 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H9 | zenon_intro zenon_H29a ]. % 0.67/0.89 exact (zenon_H9 zenon_Ha). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29b | zenon_intro zenon_H183 ]. % 0.67/0.89 generalize (zenon_H158 (a20)). zenon_intro zenon_H29c. % 0.67/0.89 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ]. % 0.67/0.89 exact (zenon_H9 zenon_Ha). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H184 | zenon_intro zenon_H29e ]. % 0.67/0.89 exact (zenon_H17e zenon_H184). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H185 ]. % 0.67/0.89 exact (zenon_H29f zenon_H29b). % 0.67/0.89 exact (zenon_H185 zenon_H180). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.67/0.89 exact (zenon_H17f zenon_H186). % 0.67/0.89 exact (zenon_H185 zenon_H180). % 0.67/0.89 (* end of lemma zenon_L303_ *) % 0.67/0.89 assert (zenon_L304_ : ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp16)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H2a0 zenon_H1b1 zenon_H1af zenon_He9 zenon_H1b0 zenon_Ha zenon_H24e zenon_H1. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H2a1 ]. % 0.67/0.89 apply (zenon_L119_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H24f | zenon_intro zenon_H2 ]. % 0.67/0.89 exact (zenon_H24e zenon_H24f). % 0.67/0.89 exact (zenon_H1 zenon_H2). % 0.67/0.89 (* end of lemma zenon_L304_ *) % 0.67/0.89 assert (zenon_L305_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a20))) -> (c2_1 (a20)) -> (~(c1_1 (a20))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1eb zenon_H17f zenon_H180 zenon_H17e zenon_H158 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H1 zenon_H24e zenon_H2a0 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H30 zenon_H31 zenon_H32. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.89 apply (zenon_L303_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.89 apply (zenon_L136_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.89 apply (zenon_L304_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.89 apply (zenon_L116_); trivial. % 0.67/0.89 apply (zenon_L189_); trivial. % 0.67/0.89 (* end of lemma zenon_L305_ *) % 0.67/0.89 assert (zenon_L306_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H189 zenon_H241 zenon_H28c zenon_H86 zenon_H87 zenon_H88 zenon_H24c zenon_H2a0 zenon_H1eb zenon_H84 zenon_H19 zenon_H62 zenon_H260 zenon_H41 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H298 zenon_H1ba zenon_H144 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Hc5 zenon_Hb1 zenon_H5 zenon_Hf4 zenon_H5f zenon_H2e zenon_H22e zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H230 zenon_H103 zenon_H232 zenon_H81 zenon_H27 zenon_H23c zenon_H112. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L290_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.89 apply (zenon_L174_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.89 apply (zenon_L305_); trivial. % 0.67/0.89 apply (zenon_L300_); trivial. % 0.67/0.89 apply (zenon_L288_); trivial. % 0.67/0.89 apply (zenon_L175_); trivial. % 0.67/0.89 apply (zenon_L190_); trivial. % 0.67/0.89 apply (zenon_L182_); trivial. % 0.67/0.89 (* end of lemma zenon_L306_ *) % 0.67/0.89 assert (zenon_L307_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1c7 zenon_H18c zenon_H24c zenon_H2a0 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H1eb zenon_H28c zenon_H18d zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H232 zenon_H103 zenon_H230 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H22e zenon_H2e zenon_H5f zenon_Hf4 zenon_H5 zenon_Hb1 zenon_Hc5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H144 zenon_H1ba zenon_H298 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H260 zenon_H62 zenon_H19 zenon_H84 zenon_H3b zenon_H5a zenon_H241. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.89 apply (zenon_L291_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.89 apply (zenon_L302_); trivial. % 0.67/0.89 apply (zenon_L306_); trivial. % 0.67/0.89 (* end of lemma zenon_L307_ *) % 0.67/0.89 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f1 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H26a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H1c8 zenon_H103 zenon_H1ba zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H1f5 zenon_H5f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L142_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L125_); trivial. % 0.67/0.89 apply (zenon_L265_); trivial. % 0.67/0.89 (* end of lemma zenon_L308_ *) % 0.67/0.89 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L125_); trivial. % 0.67/0.89 apply (zenon_L282_); trivial. % 0.67/0.89 (* end of lemma zenon_L309_ *) % 0.67/0.89 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp21)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp13)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f0 zenon_H1c8 zenon_H112 zenon_H23c zenon_H27 zenon_H81 zenon_H230 zenon_H22e zenon_H41 zenon_H62 zenon_H19 zenon_H232 zenon_H5 zenon_Hf4 zenon_H2e zenon_H84 zenon_H3b zenon_H241 zenon_H5f zenon_H1f5 zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1ba zenon_H103 zenon_H260 zenon_H1cc zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H19f zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1 zenon_H1f1. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L142_); trivial. % 0.67/0.89 apply (zenon_L283_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L269_); trivial. % 0.67/0.89 apply (zenon_L309_); trivial. % 0.67/0.89 (* end of lemma zenon_L310_ *) % 0.67/0.89 assert (zenon_L311_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H5f zenon_H214 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_Hb1 zenon_He7 zenon_H25 zenon_H6d zenon_He6. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.89 apply (zenon_L156_); trivial. % 0.67/0.89 apply (zenon_L13_); trivial. % 0.67/0.89 (* end of lemma zenon_L311_ *) % 0.67/0.89 assert (zenon_L312_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.89 apply (zenon_L160_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.89 apply (zenon_L106_); trivial. % 0.67/0.89 exact (zenon_H154 zenon_H155). % 0.67/0.89 (* end of lemma zenon_L312_ *) % 0.67/0.89 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H18c zenon_H266 zenon_H1ce zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H26a. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.89 apply (zenon_L312_); trivial. % 0.67/0.89 apply (zenon_L219_); trivial. % 0.67/0.89 (* end of lemma zenon_L313_ *) % 0.67/0.89 assert (zenon_L314_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp14)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H15 zenon_Hd4 zenon_H2a2. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H64 | zenon_intro zenon_H2a3 ]. % 0.67/0.89 apply (zenon_L151_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H16 | zenon_intro zenon_Hd5 ]. % 0.67/0.89 exact (zenon_H15 zenon_H16). % 0.67/0.89 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.89 apply (zenon_L141_); trivial. % 0.67/0.89 (* end of lemma zenon_L314_ *) % 0.67/0.89 assert (zenon_L315_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_H15 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_L314_); trivial. % 0.67/0.89 apply (zenon_L182_); trivial. % 0.67/0.89 (* end of lemma zenon_L315_ *) % 0.67/0.89 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H21f zenon_H1f1 zenon_H18c zenon_H1c8 zenon_H214 zenon_H26a zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_H209 zenon_H20a zenon_H1ba zenon_H1f5 zenon_H5f zenon_H1ce zenon_H266 zenon_H241. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L315_); trivial. % 0.67/0.89 apply (zenon_L205_); trivial. % 0.67/0.89 apply (zenon_L313_); trivial. % 0.67/0.89 (* end of lemma zenon_L316_ *) % 0.67/0.89 assert (zenon_L317_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp13)) -> (~(hskp14)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H2a2 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H15 zenon_Hd4. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H64 | zenon_intro zenon_H2a3 ]. % 0.67/0.89 apply (zenon_L160_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H16 | zenon_intro zenon_Hd5 ]. % 0.67/0.89 exact (zenon_H15 zenon_H16). % 0.67/0.89 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.89 (* end of lemma zenon_L317_ *) % 0.67/0.89 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H25b zenon_H174 zenon_H1b8 zenon_H57 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H25 zenon_H27b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.89 apply (zenon_L240_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H64 | zenon_intro zenon_H1b9 ]. % 0.67/0.89 apply (zenon_L160_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H58 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.89 apply (zenon_L61_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.89 apply (zenon_L98_); trivial. % 0.67/0.89 apply (zenon_L243_); trivial. % 0.67/0.89 exact (zenon_H57 zenon_H58). % 0.67/0.89 (* end of lemma zenon_L318_ *) % 0.67/0.89 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H10f zenon_H103 zenon_H260 zenon_H174 zenon_H1b8 zenon_H57 zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.89 apply (zenon_L107_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.89 apply (zenon_L207_); trivial. % 0.67/0.89 apply (zenon_L318_); trivial. % 0.67/0.89 (* end of lemma zenon_L319_ *) % 0.67/0.89 assert (zenon_L320_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H103 zenon_H230 zenon_Hd4 zenon_H1 zenon_Ha zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.89 apply (zenon_L107_); trivial. % 0.67/0.89 apply (zenon_L173_); trivial. % 0.67/0.89 (* end of lemma zenon_L320_ *) % 0.67/0.89 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H23e zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H41 zenon_H3b zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H81 zenon_H84. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.89 apply (zenon_L320_); trivial. % 0.67/0.89 apply (zenon_L183_); trivial. % 0.67/0.89 apply (zenon_L247_); trivial. % 0.67/0.89 (* end of lemma zenon_L321_ *) % 0.67/0.89 assert (zenon_L322_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H206 zenon_H198 zenon_H197 zenon_H196 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.89 apply (zenon_L143_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.89 apply (zenon_L160_); trivial. % 0.67/0.89 apply (zenon_L144_); trivial. % 0.67/0.89 (* end of lemma zenon_L322_ *) % 0.67/0.89 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H230 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H3b zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H81 zenon_H84 zenon_H2a2 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H27b zenon_H25 zenon_H17b zenon_H1b8 zenon_H174 zenon_H260 zenon_H103 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_L317_); trivial. % 0.67/0.89 apply (zenon_L319_); trivial. % 0.67/0.89 apply (zenon_L321_); trivial. % 0.67/0.89 apply (zenon_L253_); trivial. % 0.67/0.89 apply (zenon_L322_); trivial. % 0.67/0.89 (* end of lemma zenon_L323_ *) % 0.67/0.89 assert (zenon_L324_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp3)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H241 zenon_H230 zenon_H62 zenon_H5a zenon_H41 zenon_H3b zenon_H232 zenon_H81 zenon_H84 zenon_H2a2 zenon_H1c8 zenon_H19f zenon_H268 zenon_H27b zenon_H17b zenon_H1b8 zenon_H174 zenon_H260 zenon_H103 zenon_H112 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_He6 zenon_H6d zenon_H25 zenon_He7 zenon_H209 zenon_H20a zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f zenon_H27 zenon_H2a zenon_H2e zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.89 apply (zenon_L171_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.89 apply (zenon_L311_); trivial. % 0.67/0.89 apply (zenon_L323_); trivial. % 0.67/0.89 (* end of lemma zenon_L324_ *) % 0.67/0.89 assert (zenon_L325_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp14)) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp29)) -> (~(hskp19)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H41 zenon_Hd4 zenon_H1 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H3d zenon_H3f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hca | zenon_intro zenon_H231 ]. % 0.67/0.89 generalize (zenon_Hca (a3)). zenon_intro zenon_H21b. % 0.67/0.89 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H9 | zenon_intro zenon_H21c ]. % 0.67/0.89 exact (zenon_H9 zenon_Ha). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H210 | zenon_intro zenon_H21d ]. % 0.67/0.89 exact (zenon_H209 zenon_H210). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H208 | zenon_intro zenon_H218 ]. % 0.67/0.89 generalize (zenon_H46 (a3)). zenon_intro zenon_H2a4. % 0.67/0.89 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a5 ]. % 0.67/0.89 exact (zenon_H9 zenon_Ha). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H20e | zenon_intro zenon_H217 ]. % 0.67/0.89 exact (zenon_H208 zenon_H20e). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H20f ]. % 0.67/0.89 exact (zenon_H218 zenon_H214). % 0.67/0.89 exact (zenon_H20f zenon_H20a). % 0.67/0.89 exact (zenon_H218 zenon_H214). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd5 ]. % 0.67/0.89 exact (zenon_H1 zenon_H2). % 0.67/0.89 exact (zenon_Hd4 zenon_Hd5). % 0.67/0.89 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ]. % 0.67/0.89 exact (zenon_H3d zenon_H3e). % 0.67/0.89 exact (zenon_H3f zenon_H40). % 0.67/0.89 (* end of lemma zenon_L325_ *) % 0.67/0.89 assert (zenon_L326_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L325_); trivial. % 0.67/0.89 apply (zenon_L141_); trivial. % 0.67/0.89 (* end of lemma zenon_L326_ *) % 0.67/0.89 assert (zenon_L327_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H7b zenon_H144 zenon_H3d zenon_H209 zenon_H20a zenon_H1ba zenon_H72 zenon_H71 zenon_H70 zenon_Ha zenon_H79. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.89 apply (zenon_L151_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.89 apply (zenon_L28_); trivial. % 0.67/0.89 exact (zenon_H79 zenon_H7a). % 0.67/0.89 (* end of lemma zenon_L327_ *) % 0.67/0.89 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H7d zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H79 zenon_H7b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L327_); trivial. % 0.67/0.89 apply (zenon_L141_); trivial. % 0.67/0.89 (* end of lemma zenon_L328_ *) % 0.67/0.89 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1ba zenon_H20a zenon_H209 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_L195_); trivial. % 0.67/0.89 apply (zenon_L328_); trivial. % 0.67/0.89 (* end of lemma zenon_L329_ *) % 0.67/0.89 assert (zenon_L330_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H84 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H41 zenon_H7b zenon_H79 zenon_H1ba zenon_H81. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_L326_); trivial. % 0.67/0.89 apply (zenon_L328_); trivial. % 0.67/0.89 apply (zenon_L329_); trivial. % 0.67/0.89 (* end of lemma zenon_L330_ *) % 0.67/0.89 assert (zenon_L331_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp9)) -> (~(hskp29)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H144 zenon_H3d zenon_H209 zenon_H20a zenon_H1ba zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.89 apply (zenon_L143_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.89 apply (zenon_L151_); trivial. % 0.67/0.89 apply (zenon_L144_); trivial. % 0.67/0.89 (* end of lemma zenon_L331_ *) % 0.67/0.89 assert (zenon_L332_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L331_); trivial. % 0.67/0.89 apply (zenon_L141_); trivial. % 0.67/0.89 (* end of lemma zenon_L332_ *) % 0.67/0.89 assert (zenon_L333_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (c1_1 (a3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a1 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H112 zenon_H23c zenon_H27 zenon_H225 zenon_H224 zenon_H223 zenon_H2a2 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H84 zenon_H3b zenon_H62 zenon_H230 zenon_H214 zenon_H41 zenon_H7b zenon_H81 zenon_H241. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.89 apply (zenon_L315_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_L330_); trivial. % 0.67/0.89 apply (zenon_L182_); trivial. % 0.67/0.89 apply (zenon_L332_); trivial. % 0.67/0.89 (* end of lemma zenon_L333_ *) % 0.67/0.89 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H19f zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1ca zenon_H1cc zenon_H260 zenon_H103. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L210_); trivial. % 0.67/0.89 apply (zenon_L322_); trivial. % 0.67/0.89 (* end of lemma zenon_L334_ *) % 0.67/0.89 assert (zenon_L335_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H5f zenon_H5a zenon_H57 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L325_); trivial. % 0.67/0.89 apply (zenon_L23_); trivial. % 0.67/0.89 (* end of lemma zenon_L335_ *) % 0.67/0.89 assert (zenon_L336_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_L335_); trivial. % 0.67/0.89 apply (zenon_L175_); trivial. % 0.67/0.89 (* end of lemma zenon_L336_ *) % 0.67/0.89 assert (zenon_L337_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (c2_1 (a25)) -> (c3_1 (a25)) -> (c1_1 (a25)) -> False). % 0.67/0.89 do 0 intro. intros zenon_H2a6 zenon_He zenon_Hc zenon_H6f zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H9c zenon_Hb4 zenon_Hb5 zenon_Hb3. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_He9 | zenon_intro zenon_H2a7 ]. % 0.67/0.89 apply (zenon_L177_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hc1 ]. % 0.67/0.89 apply (zenon_L157_); trivial. % 0.67/0.89 apply (zenon_L48_); trivial. % 0.67/0.89 (* end of lemma zenon_L337_ *) % 0.67/0.89 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c1_1 (a3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H80 zenon_He6 zenon_H23c zenon_H27 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a6 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_He7 zenon_Hb1 zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_Hc5 zenon_H214 zenon_H5f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.89 apply (zenon_L155_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.89 apply (zenon_L136_); trivial. % 0.67/0.89 apply (zenon_L337_); trivial. % 0.67/0.89 exact (zenon_H27 zenon_H28). % 0.67/0.89 (* end of lemma zenon_L338_ *) % 0.67/0.89 assert (zenon_L339_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp28)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H5f zenon_He7 zenon_Haf zenon_Hb1 zenon_Hc5 zenon_H230 zenon_Hd4 zenon_H1 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H3f zenon_H41. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L325_); trivial. % 0.67/0.89 apply (zenon_L154_); trivial. % 0.67/0.89 (* end of lemma zenon_L339_ *) % 0.67/0.89 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (~(hskp25)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp0)) -> False). % 0.67/0.89 do 0 intro. intros zenon_Hc7 zenon_H23c zenon_H225 zenon_H224 zenon_H223 zenon_H209 zenon_H214 zenon_H20a zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H1d0 zenon_H2a6 zenon_H27. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H222 | zenon_intro zenon_H23d ]. % 0.67/0.89 apply (zenon_L170_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9c | zenon_intro zenon_H28 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_He9 | zenon_intro zenon_H2a7 ]. % 0.67/0.89 apply (zenon_L134_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hc1 ]. % 0.67/0.89 apply (zenon_L157_); trivial. % 0.67/0.89 apply (zenon_L48_); trivial. % 0.67/0.89 exact (zenon_H27 zenon_H28). % 0.67/0.89 (* end of lemma zenon_L340_ *) % 0.67/0.89 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1c4 zenon_H112 zenon_H81 zenon_H232 zenon_He6 zenon_H23c zenon_H27 zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H2a6 zenon_H225 zenon_H224 zenon_H223 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H1ef zenon_H1ba zenon_H144 zenon_H84. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.89 apply (zenon_L339_); trivial. % 0.67/0.89 apply (zenon_L340_); trivial. % 0.67/0.89 apply (zenon_L138_); trivial. % 0.67/0.89 apply (zenon_L175_); trivial. % 0.67/0.89 apply (zenon_L338_); trivial. % 0.67/0.89 apply (zenon_L182_); trivial. % 0.67/0.89 (* end of lemma zenon_L341_ *) % 0.67/0.89 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H7d zenon_H5f zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H79 zenon_H7b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L327_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.89 apply (zenon_L153_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.89 apply (zenon_L28_); trivial. % 0.67/0.89 exact (zenon_H79 zenon_H7a). % 0.67/0.89 (* end of lemma zenon_L342_ *) % 0.67/0.89 assert (zenon_L343_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H81 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H79 zenon_H7b zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.89 apply (zenon_L335_); trivial. % 0.67/0.89 apply (zenon_L342_); trivial. % 0.67/0.89 (* end of lemma zenon_L343_ *) % 0.67/0.89 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H191 zenon_H5f zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.89 apply (zenon_L331_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.89 apply (zenon_L143_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.89 apply (zenon_L153_); trivial. % 0.67/0.89 apply (zenon_L144_); trivial. % 0.67/0.89 (* end of lemma zenon_L344_ *) % 0.67/0.89 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (c3_1 (a7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.89 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H209 zenon_H20a zenon_H214 zenon_H19f zenon_H1af zenon_H1b0 zenon_H1b1 zenon_H1c8 zenon_H103. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.89 apply (zenon_L125_); trivial. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.89 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.89 apply (zenon_L143_); trivial. % 0.67/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.89 apply (zenon_L166_); trivial. % 0.67/0.89 apply (zenon_L144_); trivial. % 0.67/0.89 (* end of lemma zenon_L345_ *) % 0.67/0.89 assert (zenon_L346_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H19f zenon_H1c8 zenon_H103 zenon_H1c7 zenon_H1d4 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H1eb zenon_H1ef zenon_H84 zenon_He6 zenon_H23c zenon_H27 zenon_H2a6 zenon_H232 zenon_He7 zenon_H5f zenon_H5a zenon_H230 zenon_H20a zenon_H214 zenon_H209 zenon_H41 zenon_H7b zenon_H1ba zenon_Hc5 zenon_H81 zenon_H112 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a1 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.90 apply (zenon_L171_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.90 apply (zenon_L343_); trivial. % 0.67/0.90 apply (zenon_L338_); trivial. % 0.67/0.90 apply (zenon_L182_); trivial. % 0.67/0.90 apply (zenon_L341_); trivial. % 0.67/0.90 apply (zenon_L344_); trivial. % 0.67/0.90 apply (zenon_L345_); trivial. % 0.67/0.90 (* end of lemma zenon_L346_ *) % 0.67/0.90 assert (zenon_L347_ : ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp21)) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H2e zenon_Hf4 zenon_H5 zenon_Hdc zenon_Hdd zenon_Hf2 zenon_Hf5 zenon_Ha9 zenon_H15 zenon_H298. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.90 apply (zenon_L285_); trivial. % 0.67/0.90 apply (zenon_L60_); trivial. % 0.67/0.90 (* end of lemma zenon_L347_ *) % 0.67/0.90 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> False). % 0.67/0.90 do 0 intro. intros zenon_Hd6 zenon_H2e zenon_Hf4 zenon_H5 zenon_Hdc zenon_Hdd zenon_Hf2 zenon_Hf5 zenon_H98 zenon_H101. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.90 apply (zenon_L63_); trivial. % 0.67/0.90 apply (zenon_L60_); trivial. % 0.67/0.90 (* end of lemma zenon_L348_ *) % 0.67/0.90 assert (zenon_L349_ : ((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H10c zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.90 apply (zenon_L347_); trivial. % 0.67/0.90 apply (zenon_L348_); trivial. % 0.67/0.90 (* end of lemma zenon_L349_ *) % 0.67/0.90 assert (zenon_L350_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H10b zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_Hf4 zenon_H2e zenon_H144 zenon_H5 zenon_H146. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.90 apply (zenon_L85_); trivial. % 0.67/0.90 apply (zenon_L349_); trivial. % 0.67/0.90 (* end of lemma zenon_L350_ *) % 0.67/0.90 assert (zenon_L351_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H8f zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.90 generalize (zenon_H8f (a1)). zenon_intro zenon_H2ab. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ac ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 0.67/0.90 exact (zenon_H2a8 zenon_H2ae). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ]. % 0.67/0.90 exact (zenon_H2b0 zenon_H2a9). % 0.67/0.90 exact (zenon_H2af zenon_H2aa). % 0.67/0.90 (* end of lemma zenon_L351_ *) % 0.67/0.90 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(hskp6)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H23e zenon_H2b1 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H98. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2f | zenon_intro zenon_H9b ]. % 0.67/0.90 apply (zenon_L15_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H98 zenon_H99). % 0.67/0.90 (* end of lemma zenon_L352_ *) % 0.67/0.90 assert (zenon_L353_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((hskp9)\/((hskp2)\/(hskp17))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H2b1 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H146 zenon_H5 zenon_H144 zenon_H2e zenon_Hf4 zenon_Hf2 zenon_Hf5 zenon_H298 zenon_H101 zenon_H98 zenon_H103 zenon_H10b. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.90 apply (zenon_L350_); trivial. % 0.67/0.90 apply (zenon_L352_); trivial. % 0.67/0.90 (* end of lemma zenon_L353_ *) % 0.67/0.90 assert (zenon_L354_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd4 zenon_Hd7 zenon_H103. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.90 apply (zenon_L107_); trivial. % 0.67/0.90 apply (zenon_L53_); trivial. % 0.67/0.90 apply (zenon_L349_); trivial. % 0.67/0.90 (* end of lemma zenon_L354_ *) % 0.67/0.90 assert (zenon_L355_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H2b2 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Ha zenon_H39. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H9c | zenon_intro zenon_H2b3 ]. % 0.67/0.90 apply (zenon_L61_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H8f | zenon_intro zenon_H3a ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H39 zenon_H3a). % 0.67/0.90 (* end of lemma zenon_L355_ *) % 0.67/0.90 assert (zenon_L356_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H178 zenon_Hd zenon_He. % 0.67/0.90 generalize (zenon_H1ae (a27)). zenon_intro zenon_H242. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23b | zenon_intro zenon_H11 ]. % 0.67/0.90 apply (zenon_L213_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.67/0.90 exact (zenon_H14 zenon_Hd). % 0.67/0.90 exact (zenon_H13 zenon_He). % 0.67/0.90 (* end of lemma zenon_L356_ *) % 0.67/0.90 assert (zenon_L357_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a27))) -> (c3_1 (a27)) -> (c0_1 (a27)) -> (forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H24c zenon_Hc zenon_He zenon_Hd zenon_H178 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.90 apply (zenon_L214_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.90 apply (zenon_L356_); trivial. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 (* end of lemma zenon_L357_ *) % 0.67/0.90 assert (zenon_L358_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hd zenon_He zenon_Hc zenon_H24c zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.90 apply (zenon_L61_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.90 apply (zenon_L357_); trivial. % 0.67/0.90 apply (zenon_L26_); trivial. % 0.67/0.90 (* end of lemma zenon_L358_ *) % 0.67/0.90 assert (zenon_L359_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hd zenon_He zenon_Hc zenon_H24c zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.90 apply (zenon_L61_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.90 apply (zenon_L357_); trivial. % 0.67/0.90 apply (zenon_L111_); trivial. % 0.67/0.90 (* end of lemma zenon_L359_ *) % 0.67/0.90 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H80 zenon_H62 zenon_H7b zenon_H79 zenon_H24c zenon_H17b zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.90 apply (zenon_L355_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.90 apply (zenon_L358_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.90 apply (zenon_L359_); trivial. % 0.67/0.90 exact (zenon_H79 zenon_H7a). % 0.67/0.90 (* end of lemma zenon_L360_ *) % 0.67/0.90 assert (zenon_L361_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H2b1 zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd7 zenon_H103 zenon_H7 zenon_H3 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17b zenon_H24c zenon_H7b zenon_H62 zenon_H84 zenon_H112. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_L354_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.90 apply (zenon_L4_); trivial. % 0.67/0.90 apply (zenon_L360_); trivial. % 0.67/0.90 apply (zenon_L352_); trivial. % 0.67/0.90 (* end of lemma zenon_L361_ *) % 0.67/0.90 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp20)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp2)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H39 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H194 zenon_H9d zenon_H9f zenon_H2b2 zenon_H5. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.90 apply (zenon_L10_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H9c | zenon_intro zenon_H2b3 ]. % 0.67/0.90 apply (zenon_L212_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H8f | zenon_intro zenon_H3a ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H39 zenon_H3a). % 0.67/0.90 exact (zenon_H5 zenon_H6). % 0.67/0.90 (* end of lemma zenon_L362_ *) % 0.67/0.90 assert (zenon_L363_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H103 zenon_H98 zenon_H101 zenon_H298 zenon_H15 zenon_H2b2 zenon_H39 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H9f zenon_H9d zenon_H194 zenon_H5 zenon_Hf4 zenon_H2e. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.90 apply (zenon_L285_); trivial. % 0.67/0.90 apply (zenon_L362_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.90 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.90 apply (zenon_L63_); trivial. % 0.67/0.90 apply (zenon_L362_); trivial. % 0.67/0.90 (* end of lemma zenon_L363_ *) % 0.67/0.90 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H80 zenon_H62 zenon_H17b zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a zenon_H2e zenon_Hf4 zenon_H5 zenon_H194 zenon_H9d zenon_H9f zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H15 zenon_H298 zenon_H101 zenon_H98 zenon_H103. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.90 apply (zenon_L363_); trivial. % 0.67/0.90 apply (zenon_L218_); trivial. % 0.67/0.90 (* end of lemma zenon_L364_ *) % 0.67/0.90 assert (zenon_L365_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(hskp13)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp16)\/((hskp4)\/(hskp2))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H84 zenon_H62 zenon_H17b zenon_H6d zenon_H25 zenon_H196 zenon_H197 zenon_H198 zenon_H154 zenon_H26a zenon_H2e zenon_Hf4 zenon_H194 zenon_H9d zenon_H9f zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H15 zenon_H298 zenon_H101 zenon_H98 zenon_H103 zenon_H3 zenon_H5 zenon_H7. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.90 apply (zenon_L4_); trivial. % 0.67/0.90 apply (zenon_L364_); trivial. % 0.67/0.90 (* end of lemma zenon_L365_ *) % 0.67/0.90 assert (zenon_L366_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a20))) -> (~(c1_1 (a20))) -> (~(c3_1 (a20))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H138 zenon_Ha zenon_H29f zenon_H17e zenon_H17f. % 0.67/0.90 generalize (zenon_H138 (a20)). zenon_intro zenon_H2b4. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b5 ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H29b | zenon_intro zenon_H2b6 ]. % 0.67/0.90 exact (zenon_H29f zenon_H29b). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H184 | zenon_intro zenon_H186 ]. % 0.67/0.90 exact (zenon_H17e zenon_H184). % 0.67/0.90 exact (zenon_H17f zenon_H186). % 0.67/0.90 (* end of lemma zenon_L366_ *) % 0.67/0.90 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp1))) -> (~(hskp6)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H189 zenon_H142 zenon_H98 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b1 zenon_H5 zenon_Hf2. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H138 | zenon_intro zenon_H143 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2f | zenon_intro zenon_H9b ]. % 0.67/0.90 generalize (zenon_H2f (a20)). zenon_intro zenon_H2b7. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b8 ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H186 | zenon_intro zenon_H29e ]. % 0.67/0.90 exact (zenon_H17f zenon_H186). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H185 ]. % 0.67/0.90 apply (zenon_L366_); trivial. % 0.67/0.90 exact (zenon_H185 zenon_H180). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H98 zenon_H99). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf3 ]. % 0.67/0.90 exact (zenon_H5 zenon_H6). % 0.67/0.90 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.90 (* end of lemma zenon_L367_ *) % 0.67/0.90 assert (zenon_L368_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H62 zenon_H5f zenon_H5a zenon_H57 zenon_H3f zenon_H41 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.90 apply (zenon_L355_); trivial. % 0.67/0.90 apply (zenon_L24_); trivial. % 0.67/0.90 (* end of lemma zenon_L368_ *) % 0.67/0.90 assert (zenon_L369_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H17b zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.90 apply (zenon_L61_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.90 apply (zenon_L98_); trivial. % 0.67/0.90 apply (zenon_L26_); trivial. % 0.67/0.90 (* end of lemma zenon_L369_ *) % 0.67/0.90 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a36)) -> (c2_1 (a36)) -> (~(c1_1 (a36))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H5e zenon_H18d zenon_H174 zenon_H7b zenon_H79 zenon_H72 zenon_H71 zenon_H70 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H164 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.90 apply (zenon_L89_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.90 apply (zenon_L92_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.90 apply (zenon_L369_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.90 apply (zenon_L28_); trivial. % 0.67/0.90 exact (zenon_H79 zenon_H7a). % 0.67/0.90 (* end of lemma zenon_L370_ *) % 0.67/0.90 assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(hskp6)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H1c4 zenon_H9a zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H98. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H85 | zenon_intro zenon_H9b ]. % 0.67/0.90 apply (zenon_L35_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H99 ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H98 zenon_H99). % 0.67/0.90 (* end of lemma zenon_L371_ *) % 0.67/0.90 assert (zenon_L372_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp24)\/(hskp6))) -> ((hskp21)\/((hskp13)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H1c7 zenon_H9a zenon_H241 zenon_H2b1 zenon_H10b zenon_H98 zenon_H101 zenon_H298 zenon_Hf5 zenon_Hf2 zenon_H5 zenon_Hf4 zenon_H2e zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_Hd7 zenon_H103 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H164 zenon_H17b zenon_H7b zenon_H174 zenon_H18d zenon_H81 zenon_H112 zenon_H187 zenon_H18c. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_L354_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.90 apply (zenon_L368_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.90 apply (zenon_L355_); trivial. % 0.67/0.90 apply (zenon_L370_); trivial. % 0.67/0.90 apply (zenon_L352_); trivial. % 0.67/0.90 apply (zenon_L103_); trivial. % 0.67/0.90 apply (zenon_L371_); trivial. % 0.67/0.90 (* end of lemma zenon_L372_ *) % 0.67/0.90 assert (zenon_L373_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (c1_1 (a37)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a37))) -> (c3_1 (a37)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H17b zenon_H9f zenon_H9d zenon_H194 zenon_He9 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H43 zenon_H64 zenon_H44 zenon_H42. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.90 apply (zenon_L212_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.90 apply (zenon_L98_); trivial. % 0.67/0.90 apply (zenon_L26_); trivial. % 0.67/0.90 (* end of lemma zenon_L373_ *) % 0.67/0.90 assert (zenon_L374_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (c3_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H26a zenon_H42 zenon_H44 zenon_H43 zenon_H166 zenon_H167 zenon_H168 zenon_He9 zenon_H194 zenon_H9d zenon_H9f zenon_H17b zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H154. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.90 apply (zenon_L373_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.90 apply (zenon_L106_); trivial. % 0.67/0.90 exact (zenon_H154 zenon_H155). % 0.67/0.90 (* end of lemma zenon_L374_ *) % 0.67/0.90 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a37)) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H29 zenon_H174 zenon_Hf4 zenon_H5 zenon_H17b zenon_H42 zenon_H44 zenon_H43 zenon_H9f zenon_H9d zenon_H194 zenon_H196 zenon_H197 zenon_H198 zenon_H26a zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.90 apply (zenon_L92_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.90 apply (zenon_L10_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.90 apply (zenon_L374_); trivial. % 0.67/0.90 exact (zenon_H5 zenon_H6). % 0.67/0.90 (* end of lemma zenon_L375_ *) % 0.67/0.90 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H5e zenon_H18d zenon_H174 zenon_H26a zenon_H198 zenon_H197 zenon_H196 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H164 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.90 apply (zenon_L89_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.90 apply (zenon_L92_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.90 apply (zenon_L369_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.90 apply (zenon_L106_); trivial. % 0.67/0.90 exact (zenon_H154 zenon_H155). % 0.67/0.90 (* end of lemma zenon_L376_ *) % 0.67/0.90 assert (zenon_L377_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> False). % 0.67/0.90 do 0 intro. intros zenon_He9 zenon_Ha zenon_Hea zenon_H1af zenon_H1b1. % 0.67/0.90 generalize (zenon_He9 (a7)). zenon_intro zenon_H1c0. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c1 ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.67/0.90 generalize (zenon_Hea (a7)). zenon_intro zenon_H2b9. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ba ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1be ]. % 0.67/0.90 exact (zenon_H1af zenon_H1b5). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1b6 ]. % 0.67/0.90 exact (zenon_H1bf zenon_H1c3). % 0.67/0.90 exact (zenon_H1b6 zenon_H1b1). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 0.67/0.90 exact (zenon_H1af zenon_H1b5). % 0.67/0.90 exact (zenon_H1b6 zenon_H1b1). % 0.67/0.90 (* end of lemma zenon_L377_ *) % 0.67/0.90 assert (zenon_L378_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H24c zenon_H144 zenon_H2bb zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_Hea | zenon_intro zenon_H2bc ]. % 0.67/0.90 apply (zenon_L377_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H8f | zenon_intro zenon_H145 ]. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 exact (zenon_H144 zenon_H145). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.90 apply (zenon_L116_); trivial. % 0.67/0.90 apply (zenon_L351_); trivial. % 0.67/0.90 (* end of lemma zenon_L378_ *) % 0.67/0.90 assert (zenon_L379_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp1)) -> (~(c2_1 (a7))) -> (c3_1 (a7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.67/0.90 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_Hf2 zenon_H1af zenon_H1b1 zenon_Hf5 zenon_H5. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.90 apply (zenon_L10_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.90 apply (zenon_L10_); trivial. % 0.67/0.90 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.90 apply (zenon_L377_); trivial. % 0.67/0.90 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.90 exact (zenon_H5 zenon_H6). % 0.67/0.90 (* end of lemma zenon_L379_ *) % 0.67/0.90 assert (zenon_L380_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c0_1 (a7)) -> ((hskp21)\/((hskp13)\/(hskp24))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H103 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1b0 zenon_H298 zenon_H15 zenon_Hf5 zenon_Hf2 zenon_H1b1 zenon_H1af zenon_H5 zenon_Hf4 zenon_H2e. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.90 apply (zenon_L285_); trivial. % 0.67/0.90 apply (zenon_L379_); trivial. % 0.67/0.90 apply (zenon_L124_); trivial. % 0.67/0.90 (* end of lemma zenon_L380_ *) % 0.67/0.90 assert (zenon_L381_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_Ha zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.90 apply (zenon_L355_); trivial. % 0.67/0.90 apply (zenon_L194_); trivial. % 0.67/0.90 (* end of lemma zenon_L381_ *) % 0.67/0.90 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1ba zenon_H20a zenon_H209 zenon_H79 zenon_H7b zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.90 apply (zenon_L381_); trivial. % 0.67/0.90 apply (zenon_L328_); trivial. % 0.67/0.90 (* end of lemma zenon_L382_ *) % 0.67/0.90 assert (zenon_L383_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H241 zenon_H214 zenon_H230 zenon_H3b zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H2a2 zenon_H62 zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H7b zenon_H79 zenon_H81 zenon_H112. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_L314_); trivial. % 0.67/0.90 apply (zenon_L382_); trivial. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_L330_); trivial. % 0.67/0.90 apply (zenon_L382_); trivial. % 0.67/0.90 (* end of lemma zenon_L383_ *) % 0.67/0.90 assert (zenon_L384_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H191 zenon_H241 zenon_H2b1 zenon_H98 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H250 zenon_H1ca zenon_H3 zenon_H25c zenon_H260. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.90 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.90 apply (zenon_L202_); trivial. % 0.67/0.90 apply (zenon_L352_); trivial. % 0.67/0.90 (* end of lemma zenon_L384_ *) % 0.67/0.90 assert (zenon_L385_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H18c zenon_H187 zenon_Hf2 zenon_H79 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H214 zenon_H20a zenon_H209 zenon_Ha zenon_H26a. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.90 apply (zenon_L312_); trivial. % 0.67/0.90 apply (zenon_L103_); trivial. % 0.67/0.90 (* end of lemma zenon_L385_ *) % 0.67/0.90 assert (zenon_L386_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (c1_1 (a3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_H214 zenon_Hf2 zenon_Hf5 zenon_H2a2 zenon_H15 zenon_Ha zenon_H209 zenon_H20a zenon_H144 zenon_H1ba zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f. % 0.67/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.90 apply (zenon_L314_); trivial. % 0.67/0.90 apply (zenon_L164_); trivial. % 0.67/0.90 (* end of lemma zenon_L386_ *) % 0.67/0.90 assert (zenon_L387_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> False). % 0.67/0.90 do 0 intro. intros zenon_H222 zenon_Ha zenon_H148 zenon_H1d8 zenon_H1d9. % 0.67/0.90 generalize (zenon_H222 (a15)). zenon_intro zenon_H2bd. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2bf | zenon_intro zenon_H1dc ]. % 0.67/0.90 generalize (zenon_H148 (a15)). zenon_intro zenon_H2c0. % 0.67/0.90 apply (zenon_imply_s _ _ zenon_H2c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c1 ]. % 0.67/0.90 exact (zenon_H9 zenon_Ha). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H2c2 ]. % 0.67/0.90 exact (zenon_H1d8 zenon_H1df). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c3 ]. % 0.67/0.90 exact (zenon_H1d9 zenon_H1de). % 0.67/0.90 exact (zenon_H2c3 zenon_H2bf). % 0.67/0.90 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.67/0.90 exact (zenon_H1d8 zenon_H1df). % 0.67/0.90 exact (zenon_H1d9 zenon_H1de). % 0.67/0.90 (* end of lemma zenon_L387_ *) % 0.67/0.90 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H7d zenon_H232 zenon_H118 zenon_H119 zenon_H11a zenon_H1a7 zenon_H1d9 zenon_H1d8 zenon_H1d7. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.91 apply (zenon_L73_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.91 apply (zenon_L28_); trivial. % 0.67/0.91 apply (zenon_L387_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 apply (zenon_L28_); trivial. % 0.67/0.91 (* end of lemma zenon_L388_ *) % 0.67/0.91 assert (zenon_L389_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a15))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H81 zenon_H232 zenon_H1d7 zenon_H118 zenon_H119 zenon_H11a zenon_H1d8 zenon_H1d9 zenon_H1a7 zenon_H41 zenon_Ha zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_H57 zenon_H5a zenon_H5f. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L335_); trivial. % 0.67/0.91 apply (zenon_L388_); trivial. % 0.67/0.91 (* end of lemma zenon_L389_ *) % 0.67/0.91 assert (zenon_L390_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c1_1 (a27))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H24c zenon_Hd zenon_He zenon_Hc zenon_H6f zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.91 apply (zenon_L177_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.91 apply (zenon_L188_); trivial. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 (* end of lemma zenon_L390_ *) % 0.67/0.91 assert (zenon_L391_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a15))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H23e zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_Hf2 zenon_Hf5 zenon_H81 zenon_H232 zenon_H1d7 zenon_H118 zenon_H119 zenon_H11a zenon_H1d8 zenon_H1d9 zenon_H1a7 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H84. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.91 apply (zenon_L389_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L25_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.91 apply (zenon_L73_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.91 apply (zenon_L390_); trivial. % 0.67/0.91 apply (zenon_L387_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 apply (zenon_L28_); trivial. % 0.67/0.91 apply (zenon_L164_); trivial. % 0.67/0.91 (* end of lemma zenon_L391_ *) % 0.67/0.91 assert (zenon_L392_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp24)) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp25)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> False). % 0.67/0.91 do 0 intro. intros zenon_He6 zenon_H6d zenon_H17 zenon_H25 zenon_H1ce zenon_H1d0 zenon_H1d2. % 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.91 apply (zenon_L133_); trivial. % 0.67/0.91 apply (zenon_L56_); trivial. % 0.67/0.91 (* end of lemma zenon_L392_ *) % 0.67/0.91 assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H20a zenon_H214 zenon_H209 zenon_He6 zenon_H6d zenon_H25 zenon_H1ce zenon_H1d2 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H1ef. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.91 apply (zenon_L392_); trivial. % 0.67/0.91 apply (zenon_L138_); trivial. % 0.67/0.91 apply (zenon_L158_); trivial. % 0.67/0.91 (* end of lemma zenon_L393_ *) % 0.67/0.91 assert (zenon_L394_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H112 zenon_H2e zenon_H6d zenon_H25 zenon_Hf2 zenon_Hf5 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H214 zenon_H20a zenon_H209 zenon_Ha zenon_H15 zenon_H2a2. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_L317_); trivial. % 0.67/0.91 apply (zenon_L164_); trivial. % 0.67/0.91 (* end of lemma zenon_L394_ *) % 0.67/0.91 assert (zenon_L395_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a3)) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H1c8 zenon_H241 zenon_H81 zenon_H232 zenon_H1a7 zenon_H41 zenon_H230 zenon_H5a zenon_H62 zenon_H3b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H20a zenon_H209 zenon_H2a2 zenon_Hf5 zenon_Hf2 zenon_H214 zenon_H25 zenon_H6d zenon_H2e zenon_H112 zenon_H1ef zenon_H1eb zenon_H1d2 zenon_H1ce zenon_He6 zenon_H1c7. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.91 apply (zenon_L386_); trivial. % 0.67/0.91 apply (zenon_L391_); trivial. % 0.67/0.91 apply (zenon_L393_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.91 apply (zenon_L394_); trivial. % 0.67/0.91 apply (zenon_L391_); trivial. % 0.67/0.91 apply (zenon_L393_); trivial. % 0.67/0.91 (* end of lemma zenon_L395_ *) % 0.67/0.91 assert (zenon_L396_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c0_1 (a13))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H222 zenon_Ha zenon_H139 zenon_H1b zenon_H13a zenon_H13b. % 0.67/0.91 generalize (zenon_H222 (a13)). zenon_intro zenon_H2c4. % 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ]. % 0.67/0.91 exact (zenon_H9 zenon_Ha). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H13f | zenon_intro zenon_H297 ]. % 0.67/0.91 exact (zenon_H139 zenon_H13f). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H290 | zenon_intro zenon_H140 ]. % 0.67/0.91 apply (zenon_L271_); trivial. % 0.67/0.91 exact (zenon_H13b zenon_H140). % 0.67/0.91 (* end of lemma zenon_L396_ *) % 0.67/0.91 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp5)) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp1)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H189 zenon_Hf5 zenon_H1ce zenon_H139 zenon_H13a zenon_H13b zenon_H266 zenon_H20a zenon_H214 zenon_H209 zenon_Hf2. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ]. % 0.67/0.91 apply (zenon_L396_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ]. % 0.67/0.91 apply (zenon_L101_); trivial. % 0.67/0.91 exact (zenon_H1ce zenon_H1cf). % 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.91 apply (zenon_L157_); trivial. % 0.67/0.91 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.91 (* end of lemma zenon_L397_ *) % 0.67/0.91 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H18c zenon_Hf5 zenon_Hf2 zenon_H139 zenon_H13a zenon_H13b zenon_H1ce zenon_H266 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H26a. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.91 apply (zenon_L312_); trivial. % 0.67/0.91 apply (zenon_L397_); trivial. % 0.67/0.91 (* end of lemma zenon_L398_ *) % 0.67/0.91 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Hf2 zenon_H187 zenon_H18c. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.91 apply (zenon_L385_); trivial. % 0.67/0.91 apply (zenon_L322_); trivial. % 0.67/0.91 (* end of lemma zenon_L399_ *) % 0.67/0.91 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H1a7 zenon_H11a zenon_H119 zenon_H118 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H24c zenon_H149 zenon_H14a zenon_H14b. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H117 | zenon_intro zenon_H1a8 ]. % 0.67/0.91 apply (zenon_L73_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H6f | zenon_intro zenon_H148 ]. % 0.67/0.91 apply (zenon_L390_); trivial. % 0.67/0.91 apply (zenon_L86_); trivial. % 0.67/0.91 (* end of lemma zenon_L400_ *) % 0.67/0.91 assert (zenon_L401_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H20a zenon_H214 zenon_H209 zenon_H118 zenon_H119 zenon_H11a zenon_H6d zenon_H25 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.91 apply (zenon_L113_); trivial. % 0.67/0.91 apply (zenon_L158_); trivial. % 0.67/0.91 (* end of lemma zenon_L401_ *) % 0.67/0.91 assert (zenon_L402_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L381_); trivial. % 0.67/0.91 apply (zenon_L262_); trivial. % 0.67/0.91 (* end of lemma zenon_L402_ *) % 0.67/0.91 assert (zenon_L403_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H84 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H62 zenon_H5f zenon_H1f5 zenon_H144 zenon_H11a zenon_H119 zenon_H118 zenon_H230 zenon_Hd4 zenon_H20a zenon_H214 zenon_H209 zenon_Ha zenon_H41 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L326_); trivial. % 0.67/0.91 apply (zenon_L262_); trivial. % 0.67/0.91 apply (zenon_L268_); trivial. % 0.67/0.91 (* end of lemma zenon_L403_ *) % 0.67/0.91 assert (zenon_L404_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H241 zenon_H214 zenon_H230 zenon_H3b zenon_H84 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H1ba zenon_H144 zenon_H20a zenon_H209 zenon_Ha zenon_H2a2 zenon_H62 zenon_H41 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2b2 zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H81 zenon_H112. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_L314_); trivial. % 0.67/0.91 apply (zenon_L402_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_L403_); trivial. % 0.67/0.91 apply (zenon_L402_); trivial. % 0.67/0.91 (* end of lemma zenon_L404_ *) % 0.67/0.91 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L25_); trivial. % 0.67/0.91 apply (zenon_L262_); trivial. % 0.67/0.91 (* end of lemma zenon_L405_ *) % 0.67/0.91 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H23e zenon_H112 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_H6d zenon_H25 zenon_H81 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H41 zenon_H209 zenon_H214 zenon_H20a zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L335_); trivial. % 0.67/0.91 apply (zenon_L262_); trivial. % 0.67/0.91 apply (zenon_L405_); trivial. % 0.67/0.91 apply (zenon_L401_); trivial. % 0.67/0.91 (* end of lemma zenon_L406_ *) % 0.67/0.91 assert (zenon_L407_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> (ndr1_0) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(hskp3)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H241 zenon_H81 zenon_H41 zenon_H230 zenon_H57 zenon_H5a zenon_H5f zenon_H62 zenon_H3b zenon_H84 zenon_H2a2 zenon_Ha zenon_H209 zenon_H20a zenon_H214 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H1a7 zenon_H14b zenon_H14a zenon_H149 zenon_H25 zenon_H6d zenon_H11a zenon_H119 zenon_H118 zenon_Hf2 zenon_Hf5 zenon_H2e zenon_H112. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_L317_); trivial. % 0.67/0.91 apply (zenon_L401_); trivial. % 0.67/0.91 apply (zenon_L406_); trivial. % 0.67/0.91 (* end of lemma zenon_L407_ *) % 0.67/0.91 assert (zenon_L408_ : ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a70))) -> (~(c3_1 (a70))) -> (c0_1 (a70)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H14a zenon_H149 zenon_H270 zenon_Ha zenon_H1e1 zenon_H1e2 zenon_H1e3. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.91 apply (zenon_L35_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.91 apply (zenon_L231_); trivial. % 0.67/0.91 apply (zenon_L137_); trivial. % 0.67/0.91 (* end of lemma zenon_L408_ *) % 0.67/0.91 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp25)\/(hskp28))) -> (~(c0_1 (a13))) -> (~(c1_1 (a13))) -> (~(c3_1 (a13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c1_1 W))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H2e zenon_Hf5 zenon_Hf2 zenon_He6 zenon_H6d zenon_H25 zenon_H1ce zenon_H1d2 zenon_H139 zenon_H13a zenon_H13b zenon_H279 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H149 zenon_H14a zenon_H1eb zenon_H214 zenon_H20a zenon_H209 zenon_H2c6 zenon_H1ef. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.91 apply (zenon_L392_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H138 | zenon_intro zenon_H2c7 ]. % 0.67/0.91 apply (zenon_L82_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hea ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H64 | zenon_intro zenon_H27a ]. % 0.67/0.91 apply (zenon_L159_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H270 | zenon_intro zenon_H8f ]. % 0.67/0.91 apply (zenon_L408_); trivial. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 apply (zenon_L157_); trivial. % 0.67/0.91 apply (zenon_L158_); trivial. % 0.67/0.91 (* end of lemma zenon_L409_ *) % 0.67/0.91 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (~(hskp12)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H25b zenon_H2c8 zenon_H15b zenon_H15a zenon_H159 zenon_H154. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H158 | zenon_intro zenon_H2c9 ]. % 0.67/0.91 apply (zenon_L90_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H155 ]. % 0.67/0.91 apply (zenon_L200_); trivial. % 0.67/0.91 exact (zenon_H154 zenon_H155). % 0.67/0.91 (* end of lemma zenon_L410_ *) % 0.67/0.91 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18e zenon_H260 zenon_H2c8 zenon_H154 zenon_H15 zenon_H1ca zenon_H250. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.91 apply (zenon_L199_); trivial. % 0.67/0.91 apply (zenon_L410_); trivial. % 0.67/0.91 (* end of lemma zenon_L411_ *) % 0.67/0.91 assert (zenon_L412_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18d zenon_H260 zenon_H2c8 zenon_H15 zenon_H1ca zenon_H250 zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_L89_); trivial. % 0.67/0.91 apply (zenon_L411_); trivial. % 0.67/0.91 (* end of lemma zenon_L412_ *) % 0.67/0.91 assert (zenon_L413_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (c2_1 (a42)) -> (c0_1 (a42)) -> (~(c1_1 (a42))) -> (c1_1 (a25)) -> (c3_1 (a25)) -> (c2_1 (a25)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2c8 zenon_H15b zenon_H15a zenon_H159 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H9c zenon_Ha zenon_H154. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H158 | zenon_intro zenon_H2c9 ]. % 0.67/0.91 apply (zenon_L90_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H155 ]. % 0.67/0.91 apply (zenon_L48_); trivial. % 0.67/0.91 exact (zenon_H154 zenon_H155). % 0.67/0.91 (* end of lemma zenon_L413_ *) % 0.67/0.91 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(c1_1 (a42))) -> (c0_1 (a42)) -> (c2_1 (a42)) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_Hc7 zenon_H174 zenon_H17b zenon_H2c8 zenon_H159 zenon_H15a zenon_H15b zenon_H154 zenon_H164. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb3. zenon_intro zenon_Hc9. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.91 apply (zenon_L92_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.91 apply (zenon_L413_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.91 apply (zenon_L98_); trivial. % 0.67/0.91 apply (zenon_L55_); trivial. % 0.67/0.91 (* end of lemma zenon_L414_ *) % 0.67/0.91 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18e zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H154 zenon_H164 zenon_H41 zenon_H3f zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.91 apply (zenon_L339_); trivial. % 0.67/0.91 apply (zenon_L414_); trivial. % 0.67/0.91 (* end of lemma zenon_L415_ *) % 0.67/0.91 assert (zenon_L416_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a3))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_H209 zenon_H214 zenon_H20a zenon_H1 zenon_Hd4 zenon_H230 zenon_Hc5 zenon_Hb1 zenon_He7 zenon_H5f zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_L89_); trivial. % 0.67/0.91 apply (zenon_L415_); trivial. % 0.67/0.91 (* end of lemma zenon_L416_ *) % 0.67/0.91 assert (zenon_L417_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(hskp28)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (c1_1 (a37)) -> (c3_1 (a37)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H5f zenon_He7 zenon_Haf zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_Ha zenon_H44 zenon_H43 zenon_H42 zenon_H3f zenon_H41. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.91 apply (zenon_L20_); trivial. % 0.67/0.91 apply (zenon_L154_); trivial. % 0.67/0.91 (* end of lemma zenon_L417_ *) % 0.67/0.91 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a37)) -> (c1_1 (a37)) -> (~(c0_1 (a37))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18e zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H154 zenon_H164 zenon_H41 zenon_H3f zenon_H42 zenon_H43 zenon_H44 zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.91 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.67/0.91 apply (zenon_L417_); trivial. % 0.67/0.91 apply (zenon_L414_); trivial. % 0.67/0.91 (* end of lemma zenon_L418_ *) % 0.67/0.91 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H5e zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_L89_); trivial. % 0.67/0.91 apply (zenon_L418_); trivial. % 0.67/0.91 (* end of lemma zenon_L419_ *) % 0.67/0.91 assert (zenon_L420_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a27))) -> (c0_1 (a27)) -> (c3_1 (a27)) -> (~(c3_1 (a21))) -> (c0_1 (a21)) -> (c2_1 (a21)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H62 zenon_H18d zenon_He6 zenon_H174 zenon_H17b zenon_H2c8 zenon_H164 zenon_H41 zenon_H3f zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_He7 zenon_H5f zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H30 zenon_H31 zenon_H32 zenon_H3b. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.91 apply (zenon_L17_); trivial. % 0.67/0.91 apply (zenon_L419_); trivial. % 0.67/0.91 (* end of lemma zenon_L420_ *) % 0.67/0.91 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> (c2_1 (a21)) -> (c0_1 (a21)) -> (~(c3_1 (a21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp28)\/(hskp7))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a25))/\((c2_1 (a25))/\(c3_1 (a25)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H1ba zenon_H144 zenon_H79 zenon_H7b zenon_H3b zenon_H32 zenon_H31 zenon_H30 zenon_H156 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H5f zenon_He7 zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H41 zenon_H164 zenon_H2c8 zenon_H17b zenon_H174 zenon_He6 zenon_H18d zenon_H62. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L420_); trivial. % 0.67/0.91 apply (zenon_L342_); trivial. % 0.67/0.91 (* end of lemma zenon_L421_ *) % 0.67/0.91 assert (zenon_L422_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a22))) -> (c3_1 (a54)) -> (c2_1 (a54)) -> (c0_1 (a54)) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H168 zenon_H167 zenon_H166 zenon_Ha zenon_H6f zenon_Hf9 zenon_Hfa. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.91 apply (zenon_L61_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.91 apply (zenon_L98_); trivial. % 0.67/0.91 apply (zenon_L111_); trivial. % 0.67/0.91 (* end of lemma zenon_L422_ *) % 0.67/0.91 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp7)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (c0_1 (a35)) -> (c1_1 (a35)) -> (c2_1 (a35)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (c3_1 (a22)) -> (c2_1 (a22)) -> (~(c0_1 (a22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H175 zenon_H7b zenon_Hb1 zenon_H209 zenon_H20a zenon_H214 zenon_H4e zenon_H4f zenon_H50 zenon_Hc5 zenon_Hfa zenon_Hf9 zenon_Hf8 zenon_H17b zenon_H79. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.91 apply (zenon_L153_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.91 apply (zenon_L422_); trivial. % 0.67/0.91 exact (zenon_H79 zenon_H7a). % 0.67/0.91 (* end of lemma zenon_L423_ *) % 0.67/0.91 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H5e zenon_H18d zenon_H5f zenon_H174 zenon_H7b zenon_H79 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H209 zenon_H20a zenon_H214 zenon_Hb1 zenon_Hc5 zenon_H164 zenon_H3f zenon_H41 zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_L89_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.91 apply (zenon_L20_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_Ha. zenon_intro zenon_H5b. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H4e. zenon_intro zenon_H5c. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4f. zenon_intro zenon_H50. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.91 apply (zenon_L92_); trivial. % 0.67/0.91 apply (zenon_L423_); trivial. % 0.67/0.91 (* end of lemma zenon_L424_ *) % 0.67/0.91 assert (zenon_L425_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/((hskp30)\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H10f zenon_H81 zenon_H1ba zenon_H144 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H156 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H41 zenon_H164 zenon_Hc5 zenon_Hb1 zenon_H214 zenon_H20a zenon_H209 zenon_H17b zenon_H79 zenon_H7b zenon_H174 zenon_H5f zenon_H18d zenon_H62. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.91 apply (zenon_L355_); trivial. % 0.67/0.91 apply (zenon_L424_); trivial. % 0.67/0.91 apply (zenon_L342_); trivial. % 0.67/0.91 (* end of lemma zenon_L425_ *) % 0.67/0.91 assert (zenon_L426_ : (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55)))))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H195 zenon_Ha zenon_H2a8 zenon_H2ca zenon_H2a9 zenon_H2aa. % 0.67/0.91 generalize (zenon_H195 (a1)). zenon_intro zenon_H2cb. % 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cc ]. % 0.67/0.91 exact (zenon_H9 zenon_Ha). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2cd ]. % 0.67/0.91 exact (zenon_H2a8 zenon_H2ae). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2b0 ]. % 0.67/0.91 generalize (zenon_H2ca (a1)). zenon_intro zenon_H2cf. % 0.67/0.91 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d0 ]. % 0.67/0.91 exact (zenon_H9 zenon_Ha). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2ad ]. % 0.67/0.91 exact (zenon_H2ce zenon_H2d1). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2af ]. % 0.67/0.91 exact (zenon_H2b0 zenon_H2a9). % 0.67/0.91 exact (zenon_H2af zenon_H2aa). % 0.67/0.91 exact (zenon_H2b0 zenon_H2a9). % 0.67/0.91 (* end of lemma zenon_L426_ *) % 0.67/0.91 assert (zenon_L427_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c2_1 (a3))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H209 zenon_H64 zenon_H20a zenon_H214 zenon_H1c8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.91 apply (zenon_L159_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.91 apply (zenon_L150_); trivial. % 0.67/0.91 apply (zenon_L426_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 exact (zenon_H144 zenon_H145). % 0.67/0.91 (* end of lemma zenon_L427_ *) % 0.67/0.91 assert (zenon_L428_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H195 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ]. % 0.67/0.91 apply (zenon_L426_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 exact (zenon_H144 zenon_H145). % 0.67/0.91 (* end of lemma zenon_L428_ *) % 0.67/0.91 assert (zenon_L429_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp12)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H26a zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H144 zenon_Ha zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2d2 zenon_H154. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.91 apply (zenon_L427_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.91 apply (zenon_L428_); trivial. % 0.67/0.91 exact (zenon_H154 zenon_H155). % 0.67/0.91 (* end of lemma zenon_L429_ *) % 0.67/0.91 assert (zenon_L430_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (~(hskp9)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H191 zenon_H206 zenon_H144 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1c8 zenon_H214 zenon_H20a zenon_H209 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H2d2 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.91 apply (zenon_L143_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.91 apply (zenon_L427_); trivial. % 0.67/0.91 apply (zenon_L144_); trivial. % 0.67/0.91 (* end of lemma zenon_L430_ *) % 0.67/0.91 assert (zenon_L431_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H187 zenon_Hf2 zenon_H2d2 zenon_H209 zenon_H20a zenon_H214 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_H26a zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.91 apply (zenon_L429_); trivial. % 0.67/0.91 apply (zenon_L103_); trivial. % 0.67/0.91 apply (zenon_L430_); trivial. % 0.67/0.91 apply (zenon_L399_); trivial. % 0.67/0.91 (* end of lemma zenon_L431_ *) % 0.67/0.91 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp10)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H14a zenon_H14b zenon_H1a7 zenon_H26a zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_Hf2 zenon_H187 zenon_H18c. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.91 apply (zenon_L385_); trivial. % 0.67/0.91 apply (zenon_L282_); trivial. % 0.67/0.91 (* end of lemma zenon_L432_ *) % 0.67/0.91 assert (zenon_L433_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (c0_1 (a7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1f1 zenon_H1ca zenon_H1cc zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1b1 zenon_H1af zenon_Ha zenon_H1b0 zenon_H24c. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.91 apply (zenon_L378_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.91 apply (zenon_L129_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.91 apply (zenon_L116_); trivial. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 (* end of lemma zenon_L433_ *) % 0.67/0.91 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a7))/\((c3_1 (a7))/\(~(c2_1 (a7)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp11))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp5)\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2d4 zenon_H2d5 zenon_H1a1 zenon_H206 zenon_H19f zenon_H103 zenon_H1f1 zenon_H1cc zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H24c zenon_H1b8 zenon_H209 zenon_H20a zenon_H214 zenon_H1c8 zenon_H2d6 zenon_H1eb zenon_H1ef zenon_H1c7 zenon_H1f0. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.91 apply (zenon_L433_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.91 apply (zenon_L378_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.91 apply (zenon_L167_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H2da ]. % 0.67/0.91 apply (zenon_L119_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1d1 ]. % 0.67/0.91 exact (zenon_H1ce zenon_H1cf). % 0.67/0.91 exact (zenon_H1d0 zenon_H1d1). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.91 apply (zenon_L116_); trivial. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 apply (zenon_L138_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.91 apply (zenon_L378_); trivial. % 0.67/0.91 apply (zenon_L345_); trivial. % 0.67/0.91 (* end of lemma zenon_L434_ *) % 0.67/0.91 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18e zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.91 apply (zenon_L170_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.91 apply (zenon_L90_); trivial. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 (* end of lemma zenon_L435_ *) % 0.67/0.91 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H80 zenon_H81 zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H28a zenon_H41 zenon_H57 zenon_H5a zenon_H5f zenon_H62. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ]. % 0.67/0.91 apply (zenon_L178_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ]. % 0.67/0.91 exact (zenon_H152 zenon_H153). % 0.67/0.91 exact (zenon_H39 zenon_H3a). % 0.67/0.91 apply (zenon_L435_); trivial. % 0.67/0.91 apply (zenon_L24_); trivial. % 0.67/0.91 apply (zenon_L175_); trivial. % 0.67/0.91 (* end of lemma zenon_L436_ *) % 0.67/0.91 assert (zenon_L437_ : ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp21)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2d2 zenon_H79 zenon_Ha9 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H19f zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_Ha zenon_H144. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H195 | zenon_intro zenon_H1a0 ]. % 0.67/0.91 apply (zenon_L426_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Haa | zenon_intro zenon_H7a ]. % 0.67/0.91 exact (zenon_Ha9 zenon_Haa). % 0.67/0.91 exact (zenon_H79 zenon_H7a). % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 exact (zenon_H144 zenon_H145). % 0.67/0.91 (* end of lemma zenon_L437_ *) % 0.67/0.91 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp25)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H25b zenon_H2d2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d4 zenon_H1d0 zenon_H1c8 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H144. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2d3 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hca | zenon_intro zenon_H1c9 ]. % 0.67/0.91 apply (zenon_L248_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ae | zenon_intro zenon_H195 ]. % 0.67/0.91 apply (zenon_L249_); trivial. % 0.67/0.91 apply (zenon_L426_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H145 ]. % 0.67/0.91 apply (zenon_L136_); trivial. % 0.67/0.91 exact (zenon_H144 zenon_H145). % 0.67/0.91 (* end of lemma zenon_L438_ *) % 0.67/0.91 assert (zenon_L439_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(hskp25)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c2_1 (a38))) -> (c0_1 (a38)) -> (c1_1 (a38)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H260 zenon_H2d2 zenon_H144 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H1d4 zenon_H1d0 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H268. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.91 apply (zenon_L207_); trivial. % 0.67/0.91 apply (zenon_L438_); trivial. % 0.67/0.91 (* end of lemma zenon_L439_ *) % 0.67/0.91 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c0_1 (a19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H1eb zenon_H88 zenon_H87 zenon_H86 zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d4 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2 zenon_H260. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.91 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.91 apply (zenon_L439_); trivial. % 0.67/0.91 apply (zenon_L138_); trivial. % 0.67/0.91 (* end of lemma zenon_L440_ *) % 0.67/0.91 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1c4 zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.91 apply (zenon_L437_); trivial. % 0.67/0.91 apply (zenon_L440_); trivial. % 0.67/0.91 (* end of lemma zenon_L441_ *) % 0.67/0.91 assert (zenon_L442_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((hskp16)\/((hskp4)\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1c7 zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H144 zenon_H2d2 zenon_H7 zenon_H5 zenon_H3 zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.91 apply (zenon_L4_); trivial. % 0.67/0.91 apply (zenon_L436_); trivial. % 0.67/0.91 apply (zenon_L441_); trivial. % 0.67/0.91 (* end of lemma zenon_L442_ *) % 0.67/0.91 assert (zenon_L443_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1c7 zenon_H1ef zenon_H1eb zenon_H1d4 zenon_H84 zenon_H81 zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H225 zenon_H224 zenon_H223 zenon_H28a zenon_H41 zenon_H5a zenon_H5f zenon_H62 zenon_H19f zenon_H79 zenon_H198 zenon_H197 zenon_H196 zenon_Ha zenon_H230 zenon_H103 zenon_H268 zenon_H27b zenon_H25 zenon_H1c8 zenon_H17b zenon_H174 zenon_H260 zenon_H112. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.91 apply (zenon_L320_); trivial. % 0.67/0.91 apply (zenon_L436_); trivial. % 0.67/0.91 apply (zenon_L247_); trivial. % 0.67/0.91 apply (zenon_L253_); trivial. % 0.67/0.91 (* end of lemma zenon_L443_ *) % 0.67/0.91 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H18c zenon_H266 zenon_H1ce zenon_H26a zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.91 apply (zenon_L443_); trivial. % 0.67/0.91 apply (zenon_L257_); trivial. % 0.67/0.91 (* end of lemma zenon_L444_ *) % 0.67/0.91 assert (zenon_L445_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4)))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H2bb zenon_Hdd zenon_Hdc zenon_He9 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Ha zenon_H144. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_Hea | zenon_intro zenon_H2bc ]. % 0.67/0.91 apply (zenon_L58_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H8f | zenon_intro zenon_H145 ]. % 0.67/0.91 apply (zenon_L351_); trivial. % 0.67/0.91 exact (zenon_H144 zenon_H145). % 0.67/0.91 (* end of lemma zenon_L445_ *) % 0.67/0.91 assert (zenon_L446_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp22)) -> (~(hskp20)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H28a zenon_H144 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_Hdc zenon_Hdd zenon_H2bb zenon_H152 zenon_H39. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_He9 | zenon_intro zenon_H28b ]. % 0.67/0.91 apply (zenon_L445_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H153 | zenon_intro zenon_H3a ]. % 0.67/0.91 exact (zenon_H152 zenon_H153). % 0.67/0.91 exact (zenon_H39 zenon_H3a). % 0.67/0.91 (* end of lemma zenon_L446_ *) % 0.67/0.91 assert (zenon_L447_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c3_1 (a28)) -> (~(c2_1 (a28))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H144 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hdd zenon_Hdc zenon_Ha zenon_H39 zenon_H28a. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.91 apply (zenon_L446_); trivial. % 0.67/0.91 apply (zenon_L435_); trivial. % 0.67/0.91 (* end of lemma zenon_L447_ *) % 0.67/0.91 assert (zenon_L448_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> (c1_1 (a14)) -> (~(c2_1 (a14))) -> (~(c0_1 (a14))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H62 zenon_H5f zenon_H1f5 zenon_H11a zenon_H119 zenon_H118 zenon_H3f zenon_H41 zenon_H28a zenon_Ha zenon_Hdc zenon_Hdd zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H144 zenon_H2bb zenon_H223 zenon_H224 zenon_H225 zenon_H28c zenon_H18d. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.91 apply (zenon_L447_); trivial. % 0.67/0.91 apply (zenon_L194_); trivial. % 0.67/0.91 (* end of lemma zenon_L448_ *) % 0.67/0.91 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp9)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp2)) -> False). % 0.67/0.91 do 0 intro. intros zenon_H29 zenon_Hf4 zenon_H144 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_Hdc zenon_Hdd zenon_H2bb zenon_H5. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_Ha. zenon_intro zenon_H2b. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H1e. zenon_intro zenon_H2c. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.91 apply (zenon_L10_); trivial. % 0.67/0.91 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.91 apply (zenon_L445_); trivial. % 0.67/0.91 exact (zenon_H5 zenon_H6). % 0.67/0.91 (* end of lemma zenon_L449_ *) % 0.67/0.91 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c2_1 (a28))) -> (c3_1 (a28)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H7d zenon_H62 zenon_H2e zenon_Hf4 zenon_H5 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H28a zenon_Hdc zenon_Hdd zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H144 zenon_H2bb zenon_H223 zenon_H224 zenon_H225 zenon_H28c zenon_H18d. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.91 apply (zenon_L447_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.91 apply (zenon_L30_); trivial. % 0.67/0.91 apply (zenon_L449_); trivial. % 0.67/0.91 (* end of lemma zenon_L450_ *) % 0.67/0.91 assert (zenon_L451_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a58))/\((~(c0_1 (a58)))/\(~(c1_1 (a58))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/(hskp2))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp3)\/(hskp24))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False). % 0.67/0.91 do 0 intro. intros zenon_H10b zenon_H81 zenon_H2e zenon_Hf4 zenon_H6d zenon_H25 zenon_H79 zenon_H7b zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H28a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.91 apply (zenon_L85_); trivial. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.91 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.91 apply (zenon_L448_); trivial. % 0.67/0.91 apply (zenon_L450_); trivial. % 0.67/0.91 (* end of lemma zenon_L451_ *) % 0.67/0.91 assert (zenon_L452_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a28))/\((~(c0_1 (a28)))/\(~(c2_1 (a28))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp2)\/(hskp17))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H10b zenon_H81 zenon_H232 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H18d zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H2bb zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H28a zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H1f5 zenon_H5f zenon_H62 zenon_H144 zenon_H5 zenon_H146. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.92 apply (zenon_L85_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.92 apply (zenon_L448_); trivial. % 0.67/0.92 apply (zenon_L175_); trivial. % 0.67/0.92 (* end of lemma zenon_L452_ *) % 0.67/0.92 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/((hskp19)\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((hskp22)\/(hskp20))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c0_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1a2 zenon_H1a1 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H112 zenon_H260 zenon_H174 zenon_H17b zenon_H1c8 zenon_H25 zenon_H27b zenon_H268 zenon_H103 zenon_H230 zenon_H19f zenon_H62 zenon_H5f zenon_H5a zenon_H41 zenon_H28a zenon_H223 zenon_H224 zenon_H225 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H232 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H81 zenon_H84 zenon_H1d4 zenon_H1eb zenon_H1ef zenon_H1c7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L443_); trivial. % 0.67/0.92 apply (zenon_L278_); trivial. % 0.67/0.92 (* end of lemma zenon_L453_ *) % 0.67/0.92 assert (zenon_L454_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c2_1 (a9))) -> (~(c3_1 (a9))) -> (c0_1 (a9)) -> (~(hskp12)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H18d zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H225 zenon_H224 zenon_H223 zenon_Ha zenon_H149 zenon_H14a zenon_H14b zenon_H154 zenon_H156. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.92 apply (zenon_L89_); trivial. % 0.67/0.92 apply (zenon_L435_); trivial. % 0.67/0.92 (* end of lemma zenon_L454_ *) % 0.67/0.92 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1ea zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H17e zenon_H180 zenon_H17f zenon_H1eb zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_Ha. zenon_intro zenon_H1ec. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e3. zenon_intro zenon_H1ed. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e1. zenon_intro zenon_H1e2. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H85 | zenon_intro zenon_H1ee ]. % 0.67/0.92 apply (zenon_L303_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e0 ]. % 0.67/0.92 apply (zenon_L136_); trivial. % 0.67/0.92 apply (zenon_L137_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 (* end of lemma zenon_L455_ *) % 0.67/0.92 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H103 zenon_H1ef zenon_H28c zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H79 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H144 zenon_H2d2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.92 apply (zenon_L437_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.92 apply (zenon_L439_); trivial. % 0.67/0.92 apply (zenon_L455_); trivial. % 0.67/0.92 (* end of lemma zenon_L456_ *) % 0.67/0.92 assert (zenon_L457_ : ((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a20))) -> (c2_1 (a20)) -> (~(c3_1 (a20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hd6 zenon_H1ef zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17e zenon_H180 zenon_H17f zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H196 zenon_H197 zenon_H198 zenon_H1c8 zenon_H260. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Ha. zenon_intro zenon_Hd8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcc. zenon_intro zenon_Hd9. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.92 apply (zenon_L251_); trivial. % 0.67/0.92 apply (zenon_L455_); trivial. % 0.67/0.92 (* end of lemma zenon_L457_ *) % 0.67/0.92 assert (zenon_L458_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(c3_1 (a15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c1_1 (a16)) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H103 zenon_H1ef zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H1d7 zenon_H1d8 zenon_H1d9 zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H1c8 zenon_H260 zenon_H196 zenon_H197 zenon_H198 zenon_H79 zenon_H19f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.92 apply (zenon_L107_); trivial. % 0.67/0.92 apply (zenon_L457_); trivial. % 0.67/0.92 (* end of lemma zenon_L458_ *) % 0.67/0.92 assert (zenon_L459_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((c3_1 X30)\/(~(c0_1 X30))))))\/((hskp22)\/(hskp12))) -> (c0_1 (a9)) -> (~(c3_1 (a9))) -> (~(c2_1 (a9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a42))/\((c2_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H103 zenon_H1ef zenon_H1eb zenon_H268 zenon_H1c8 zenon_H1d4 zenon_H260 zenon_H19f zenon_H2d2 zenon_H156 zenon_H14b zenon_H14a zenon_H149 zenon_H223 zenon_H224 zenon_H225 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H28c zenon_H18d zenon_H232 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L454_); trivial. % 0.67/0.92 apply (zenon_L456_); trivial. % 0.67/0.92 apply (zenon_L278_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L454_); trivial. % 0.67/0.92 apply (zenon_L458_); trivial. % 0.67/0.92 apply (zenon_L278_); trivial. % 0.67/0.92 (* end of lemma zenon_L459_ *) % 0.67/0.92 assert (zenon_L460_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp16)) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H24c zenon_H1 zenon_H24e zenon_H2a0 zenon_H1b1 zenon_H1b0 zenon_H1af zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.92 apply (zenon_L304_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_L116_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 (* end of lemma zenon_L460_ *) % 0.67/0.92 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a7)) -> (c0_1 (a7)) -> (~(c2_1 (a7))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H80 zenon_H232 zenon_H225 zenon_H224 zenon_H223 zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H24c zenon_H1b1 zenon_H1b0 zenon_H1af zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.92 apply (zenon_L136_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.92 apply (zenon_L177_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_L116_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 (* end of lemma zenon_L461_ *) % 0.67/0.92 assert (zenon_L462_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(hskp25)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d0 zenon_H1d4 zenon_H2a0 zenon_H1 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.92 apply (zenon_L460_); trivial. % 0.67/0.92 apply (zenon_L250_); trivial. % 0.67/0.92 (* end of lemma zenon_L462_ *) % 0.67/0.92 assert (zenon_L463_ : ((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c1_1 (a16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp27)\/(hskp16))) -> (c3_1 (a7)) -> (~(c2_1 (a7))) -> (c0_1 (a7)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> (~(c3_1 (a15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H189 zenon_H84 zenon_H232 zenon_H260 zenon_H1c8 zenon_H198 zenon_H197 zenon_H196 zenon_H1d4 zenon_H2a0 zenon_H1b1 zenon_H1af zenon_H1b0 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H223 zenon_H224 zenon_H225 zenon_H1eb zenon_H1d9 zenon_H1d8 zenon_H1d7 zenon_H28c zenon_H1ef. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_Ha. zenon_intro zenon_H18a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H180. zenon_intro zenon_H18b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1ea ]. % 0.67/0.92 apply (zenon_L462_); trivial. % 0.67/0.92 apply (zenon_L455_); trivial. % 0.67/0.92 apply (zenon_L461_); trivial. % 0.67/0.92 (* end of lemma zenon_L463_ *) % 0.67/0.92 assert (zenon_L464_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H223 zenon_H224 zenon_H225 zenon_H1ce zenon_H266 zenon_H18c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L429_); trivial. % 0.67/0.92 apply (zenon_L219_); trivial. % 0.67/0.92 apply (zenon_L313_); trivial. % 0.67/0.92 (* end of lemma zenon_L464_ *) % 0.67/0.92 assert (zenon_L465_ : ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1f0 zenon_H1f1 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H1ce zenon_H266 zenon_H18c zenon_Ha zenon_H223 zenon_H224 zenon_H225 zenon_Hb1 zenon_H22c. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_L464_); trivial. % 0.67/0.92 (* end of lemma zenon_L465_ *) % 0.67/0.92 assert (zenon_L466_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21)))))) -> (c0_1 (a54)) -> (c2_1 (a54)) -> (c3_1 (a54)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H63 zenon_Ha zenon_H158 zenon_H166 zenon_H167 zenon_H168. % 0.67/0.92 generalize (zenon_H63 (a54)). zenon_intro zenon_H2dd. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2de ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H16e | zenon_intro zenon_H171 ]. % 0.67/0.92 generalize (zenon_H158 (a54)). zenon_intro zenon_H2df. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e0 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H172 | zenon_intro zenon_H2e1 ]. % 0.67/0.92 exact (zenon_H16e zenon_H172). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H16c | zenon_intro zenon_H173 ]. % 0.67/0.92 exact (zenon_H16c zenon_H166). % 0.67/0.92 exact (zenon_H173 zenon_H167). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H16d ]. % 0.67/0.92 exact (zenon_H173 zenon_H167). % 0.67/0.92 exact (zenon_H16d zenon_H168). % 0.67/0.92 (* end of lemma zenon_L466_ *) % 0.67/0.92 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H175 zenon_H28c zenon_H225 zenon_H224 zenon_H223 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.92 apply (zenon_L61_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.92 apply (zenon_L98_); trivial. % 0.67/0.92 apply (zenon_L466_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 (* end of lemma zenon_L467_ *) % 0.67/0.92 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H25b zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H225 zenon_H224 zenon_H223 zenon_H25 zenon_H27b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.92 apply (zenon_L240_); trivial. % 0.67/0.92 apply (zenon_L467_); trivial. % 0.67/0.92 (* end of lemma zenon_L468_ *) % 0.67/0.92 assert (zenon_L469_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp27)\/((hskp13)\/(hskp8))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H10f zenon_H260 zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H17b zenon_H225 zenon_H224 zenon_H223 zenon_H25 zenon_H27b zenon_H15 zenon_H1ca zenon_H250. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.92 apply (zenon_L199_); trivial. % 0.67/0.92 apply (zenon_L468_); trivial. % 0.67/0.92 (* end of lemma zenon_L469_ *) % 0.67/0.92 assert (zenon_L470_ : ((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1f2 zenon_H1f1 zenon_H18c zenon_H103 zenon_H1ef zenon_H28c zenon_H1eb zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H1d4 zenon_H260 zenon_H19f zenon_H2d2 zenon_H209 zenon_H20a zenon_H214 zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H1c8 zenon_H26a zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206 zenon_H1a1. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L429_); trivial. % 0.67/0.92 apply (zenon_L456_); trivial. % 0.67/0.92 apply (zenon_L430_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L312_); trivial. % 0.67/0.92 apply (zenon_L458_); trivial. % 0.67/0.92 apply (zenon_L322_); trivial. % 0.67/0.92 (* end of lemma zenon_L470_ *) % 0.67/0.92 assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (~(c0_1 (a22))) -> (c2_1 (a22)) -> (c3_1 (a22)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H7d zenon_H260 zenon_H174 zenon_H28c zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_Hf8 zenon_Hf9 zenon_Hfa zenon_H17b zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H7b zenon_H79 zenon_H214 zenon_H20a zenon_H209 zenon_H268. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_Ha. zenon_intro zenon_H7e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H71. zenon_intro zenon_H7f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H72. zenon_intro zenon_H70. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H64 | zenon_intro zenon_H7c ]. % 0.67/0.92 apply (zenon_L159_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.67/0.92 apply (zenon_L28_); trivial. % 0.67/0.92 exact (zenon_H79 zenon_H7a). % 0.67/0.92 exact (zenon_H24e zenon_H24f). % 0.67/0.92 apply (zenon_L468_); trivial. % 0.67/0.92 (* end of lemma zenon_L471_ *) % 0.67/0.92 assert (zenon_L472_ : ((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a14))) -> (~(c2_1 (a14))) -> (c1_1 (a14)) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H10f zenon_H81 zenon_H260 zenon_H174 zenon_H28c zenon_H17b zenon_H25 zenon_H27b zenon_H223 zenon_H224 zenon_H225 zenon_H7b zenon_H79 zenon_H214 zenon_H20a zenon_H209 zenon_H268 zenon_H2b2 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H41 zenon_H118 zenon_H119 zenon_H11a zenon_H144 zenon_H1f5 zenon_H5f zenon_H62. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.92 apply (zenon_L381_); trivial. % 0.67/0.92 apply (zenon_L471_); trivial. % 0.67/0.92 (* end of lemma zenon_L472_ *) % 0.67/0.92 assert (zenon_L473_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H268 zenon_H225 zenon_H224 zenon_H223 zenon_H214 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H24e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H222 | zenon_intro zenon_H269 ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hca | zenon_intro zenon_H24f ]. % 0.67/0.92 apply (zenon_L159_); trivial. % 0.67/0.92 exact (zenon_H24e zenon_H24f). % 0.67/0.92 (* end of lemma zenon_L473_ *) % 0.67/0.92 assert (zenon_L474_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp27)) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H206 zenon_H9f zenon_H194 zenon_H9d zenon_H24e zenon_H209 zenon_H20a zenon_H214 zenon_H223 zenon_H224 zenon_H225 zenon_H268 zenon_Ha zenon_H1fd zenon_H1fe zenon_H1ff. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.92 apply (zenon_L143_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.92 apply (zenon_L473_); trivial. % 0.67/0.92 apply (zenon_L144_); trivial. % 0.67/0.92 (* end of lemma zenon_L474_ *) % 0.67/0.92 assert (zenon_L475_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a18)) -> (~(c0_1 (a18))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a18))) -> (c3_1 (a3)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a3))) -> (ndr1_0) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H24c zenon_H9f zenon_H9d zenon_H9c zenon_H194 zenon_H20a zenon_H64 zenon_H209 zenon_Ha zenon_H2a8 zenon_H2a9 zenon_H2aa. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_He9 | zenon_intro zenon_H24d ]. % 0.67/0.92 apply (zenon_L212_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_L150_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 (* end of lemma zenon_L475_ *) % 0.67/0.92 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> (c0_1 (a11)) -> (~(c2_1 (a11))) -> (~(c1_1 (a11))) -> (~(c0_1 (a2))) -> (~(c2_1 (a2))) -> (~(c3_1 (a2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a3))) -> (c3_1 (a3)) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a18)) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H25b zenon_H174 zenon_H206 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H223 zenon_H224 zenon_H225 zenon_H17b zenon_H209 zenon_H20a zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H28c zenon_H9f zenon_H194 zenon_H9d zenon_H25 zenon_H27b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_Ha. zenon_intro zenon_H25d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H252. zenon_intro zenon_H25e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H253. zenon_intro zenon_H254. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H175 ]. % 0.67/0.92 apply (zenon_L240_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H166. zenon_intro zenon_H177. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H167. zenon_intro zenon_H168. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H207 ]. % 0.67/0.92 apply (zenon_L143_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H64 | zenon_intro zenon_H1fc ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H222 | zenon_intro zenon_H28d ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H158 | zenon_intro zenon_H8f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H9c | zenon_intro zenon_H17c ]. % 0.67/0.92 apply (zenon_L475_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H178 | zenon_intro zenon_H63 ]. % 0.67/0.92 apply (zenon_L98_); trivial. % 0.67/0.92 apply (zenon_L466_); trivial. % 0.67/0.92 apply (zenon_L351_); trivial. % 0.67/0.92 apply (zenon_L144_); trivial. % 0.67/0.92 (* end of lemma zenon_L476_ *) % 0.67/0.92 assert (zenon_L477_ : ((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> (~(c1_1 (a11))) -> (~(c2_1 (a11))) -> (c0_1 (a11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H191 zenon_H260 zenon_H174 zenon_H17b zenon_H2a8 zenon_H2a9 zenon_H2aa zenon_H24c zenon_H28c zenon_H25 zenon_H27b zenon_H268 zenon_H214 zenon_H20a zenon_H209 zenon_H225 zenon_H224 zenon_H223 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H206. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.92 apply (zenon_L474_); trivial. % 0.67/0.92 apply (zenon_L476_); trivial. % 0.67/0.92 (* end of lemma zenon_L477_ *) % 0.67/0.92 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a11))/\((~(c1_1 (a11)))/\(~(c2_1 (a11)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a14))/\((~(c0_1 (a14)))/\(~(c2_1 (a14))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c2_1 X4)\/(~(c3_1 X4))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a22))/\((c3_1 (a22))/\(~(c0_1 (a22))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a36))/\((c3_1 (a36))/\(~(c1_1 (a36))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a54))/\((c2_1 (a54))/\(c3_1 (a54)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X61 : zenon_U, ((ndr1_0)->((~(c0_1 X61))\/((~(c2_1 X61))\/(~(c3_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp30)\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp29)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((c3_1 (a37))/\(~(c0_1 (a37))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((hskp13)\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((hskp29)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X32 : zenon_U, ((ndr1_0)->((~(c0_1 X32))\/((~(c1_1 X32))\/(~(c2_1 X32))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a35))/\((c1_1 (a35))/\(c2_1 (a35)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a27))/\((c3_1 (a27))/\(~(c1_1 (a27))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c1_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c0_1 X82))\/(~(c2_1 X82))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((hskp16)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a21))/\((c2_1 (a21))/\(~(c3_1 (a21))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp7)\/(hskp8))) -> (~(c3_1 (a2))) -> (~(c2_1 (a2))) -> (~(c0_1 (a2))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a18))/\((~(c0_1 (a18)))/\(~(c1_1 (a18))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(~(c3_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c2_1 X10)\/(~(c0_1 X10)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c3_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a3))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c0_1 X55)\/((~(c1_1 X55))\/(~(c2_1 X55))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(hskp9))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c3_1 X43)\/((~(c0_1 X43))\/(~(c1_1 X43))))))\/((hskp21)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a12))/\((c1_1 (a12))/\(c3_1 (a12)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c1_1 Y))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c0_1 X48)\/((c3_1 X48)\/(~(c2_1 X48))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c3_1 X50)\/(~(c0_1 X50)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a70))/\((~(c1_1 (a70)))/\(~(c3_1 (a70))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a38))/\((c1_1 (a38))/\(~(c2_1 (a38))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a20))/\((~(c1_1 (a20)))/\(~(c3_1 (a20))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((c1_1 (a16))/\(~(c3_1 (a16))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c1_1 (a15)))/\((~(c2_1 (a15)))/\(~(c3_1 (a15))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H2d9 zenon_H21e zenon_H24c zenon_H112 zenon_H81 zenon_H174 zenon_H17b zenon_H25 zenon_H27b zenon_H7b zenon_H2b2 zenon_H41 zenon_H62 zenon_H2a2 zenon_H1ba zenon_H1f5 zenon_H5f zenon_H84 zenon_H3b zenon_H230 zenon_H241 zenon_H1cc zenon_H22c zenon_H225 zenon_H224 zenon_H223 zenon_H1a1 zenon_H206 zenon_H26a zenon_H1c8 zenon_H2aa zenon_H2a9 zenon_H2a8 zenon_H214 zenon_H20a zenon_H209 zenon_H2d2 zenon_H19f zenon_H260 zenon_H1d4 zenon_H268 zenon_H1eb zenon_H28c zenon_H1ef zenon_H103 zenon_H18c zenon_H1f1 zenon_H1f0. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_L470_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L314_); trivial. % 0.67/0.92 apply (zenon_L472_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L330_); trivial. % 0.67/0.92 apply (zenon_L472_); trivial. % 0.67/0.92 apply (zenon_L477_); trivial. % 0.67/0.92 apply (zenon_L334_); trivial. % 0.67/0.92 apply (zenon_L470_); trivial. % 0.67/0.92 (* end of lemma zenon_L478_ *) % 0.67/0.92 apply NNPP. intro zenon_G. % 0.67/0.92 apply zenon_G. zenon_intro zenon_H2e2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2d5. zenon_intro zenon_H2ed. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H21e. zenon_intro zenon_H2f0. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1f0. zenon_intro zenon_H2f1. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1f1. zenon_intro zenon_H2f2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H1a1. zenon_intro zenon_H2f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H1c7. zenon_intro zenon_H2f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H18c. zenon_intro zenon_H2f5. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H241. zenon_intro zenon_H2f6. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H112. zenon_intro zenon_H2f7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H84. zenon_intro zenon_H2fa. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H10b. zenon_intro zenon_H2fb. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H81. zenon_intro zenon_H2fe. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H62. zenon_intro zenon_H2ff. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H103. zenon_intro zenon_H300. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H18d. zenon_intro zenon_H301. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H303. zenon_intro zenon_H302. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2e. zenon_intro zenon_H304. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1ef. zenon_intro zenon_H305. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H137. zenon_intro zenon_H306. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H260. zenon_intro zenon_H307. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_He6. zenon_intro zenon_H308. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H5f. zenon_intro zenon_H309. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H174. zenon_intro zenon_H30a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H2c6. zenon_intro zenon_H30d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1aa. zenon_intro zenon_H30e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H142. zenon_intro zenon_H30f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf4. zenon_intro zenon_H310. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Hf5. zenon_intro zenon_H311. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H2a. zenon_intro zenon_H312. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H206. zenon_intro zenon_H313. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H25c. zenon_intro zenon_H314. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H23c. zenon_intro zenon_H315. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H232. zenon_intro zenon_H316. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H266. zenon_intro zenon_H317. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H28c. zenon_intro zenon_H318. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H268. zenon_intro zenon_H319. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H28e. zenon_intro zenon_H31a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H22c. zenon_intro zenon_H31b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1a7. zenon_intro zenon_H31c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1f5. zenon_intro zenon_H31d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H121. zenon_intro zenon_H31e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H7b. zenon_intro zenon_H31f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H279. zenon_intro zenon_H320. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1b8. zenon_intro zenon_H321. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H26a. zenon_intro zenon_H322. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2a2. zenon_intro zenon_H323. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_He7. zenon_intro zenon_H326. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H328. zenon_intro zenon_H327. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H1eb. zenon_intro zenon_H329. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H9a. zenon_intro zenon_H32a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32c. zenon_intro zenon_H32b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H2d2. zenon_intro zenon_H32f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H41. zenon_intro zenon_H330. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H2b2. zenon_intro zenon_H331. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H17b. zenon_intro zenon_H332. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Had. zenon_intro zenon_H333. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H22e. zenon_intro zenon_H334. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H24c. zenon_intro zenon_H335. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H2a6. zenon_intro zenon_H336. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H28a. zenon_intro zenon_H337. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H187. zenon_intro zenon_H33e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H2c8. zenon_intro zenon_H33f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H341. zenon_intro zenon_H340. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H164. zenon_intro zenon_H342. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H3b. zenon_intro zenon_H343. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H19. zenon_intro zenon_H344. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H156. zenon_intro zenon_H34b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1c8. zenon_intro zenon_H34c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H230. zenon_intro zenon_H34d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H34f. zenon_intro zenon_H34e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_Hd7. zenon_intro zenon_H350. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H101. zenon_intro zenon_H351. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1ba. zenon_intro zenon_H352. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2bb. zenon_intro zenon_H353. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H1cc. zenon_intro zenon_H356. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H19f. zenon_intro zenon_H357. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H2b1. zenon_intro zenon_H358. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hc5. zenon_intro zenon_H359. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H5a. zenon_intro zenon_H35a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1d4. zenon_intro zenon_H35b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H2a0. zenon_intro zenon_H35c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H27b. zenon_intro zenon_H35d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H2d6. zenon_intro zenon_H360. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H6d. zenon_intro zenon_H361. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H115. zenon_intro zenon_H362. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H250. zenon_intro zenon_H363. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H298. zenon_intro zenon_H364. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H146. zenon_intro zenon_H365. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H7. zenon_intro zenon_H366. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1d2. zenon_intro zenon_H367. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H27 | zenon_intro zenon_H368 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H369 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_L4_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H82. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hd. zenon_intro zenon_H83. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.92 apply (zenon_L14_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.92 apply (zenon_L34_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_Ha. zenon_intro zenon_H1c5. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_H88. zenon_intro zenon_H1c6. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H86. zenon_intro zenon_H87. % 0.67/0.92 apply (zenon_L39_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_L70_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L81_); trivial. % 0.67/0.92 apply (zenon_L69_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_L83_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L104_); trivial. % 0.67/0.92 apply (zenon_L105_); trivial. % 0.67/0.92 apply (zenon_L110_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L81_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.92 apply (zenon_L65_); trivial. % 0.67/0.92 apply (zenon_L114_); trivial. % 0.67/0.92 apply (zenon_L115_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L140_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_L130_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_L139_); trivial. % 0.67/0.92 apply (zenon_L115_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L123_); trivial. % 0.67/0.92 apply (zenon_L147_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_L147_); trivial. % 0.67/0.92 apply (zenon_L148_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L81_); trivial. % 0.67/0.92 apply (zenon_L164_); trivial. % 0.67/0.92 apply (zenon_L115_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_L169_); trivial. % 0.67/0.92 apply (zenon_L115_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Ha. zenon_intro zenon_H370. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H223. zenon_intro zenon_H371. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L193_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L197_); trivial. % 0.67/0.92 apply (zenon_L206_); trivial. % 0.67/0.92 apply (zenon_L220_); trivial. % 0.67/0.92 apply (zenon_L192_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L193_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L228_); trivial. % 0.67/0.92 apply (zenon_L229_); trivial. % 0.67/0.92 apply (zenon_L192_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L259_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L263_); trivial. % 0.67/0.92 apply (zenon_L266_); trivial. % 0.67/0.92 apply (zenon_L270_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L259_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L277_); trivial. % 0.67/0.92 apply (zenon_L266_); trivial. % 0.67/0.92 apply (zenon_L270_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L280_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L263_); trivial. % 0.67/0.92 apply (zenon_L283_); trivial. % 0.67/0.92 apply (zenon_L284_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L280_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L277_); trivial. % 0.67/0.92 apply (zenon_L283_); trivial. % 0.67/0.92 apply (zenon_L284_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L294_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L125_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_L202_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.67/0.92 apply (zenon_L73_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H4d | zenon_intro zenon_H99 ]. % 0.67/0.92 apply (zenon_L203_); trivial. % 0.67/0.92 exact (zenon_H98 zenon_H99). % 0.67/0.92 exact (zenon_H1ce zenon_H1cf). % 0.67/0.92 apply (zenon_L295_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L294_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L125_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf6 ]. % 0.67/0.92 apply (zenon_L296_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_He9 | zenon_intro zenon_H6 ]. % 0.67/0.92 apply (zenon_L129_); trivial. % 0.67/0.92 exact (zenon_H5 zenon_H6). % 0.67/0.92 apply (zenon_L219_); trivial. % 0.67/0.92 apply (zenon_L295_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L298_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L142_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L125_); trivial. % 0.67/0.92 apply (zenon_L299_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L307_); trivial. % 0.67/0.92 apply (zenon_L293_); trivial. % 0.67/0.92 apply (zenon_L308_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L307_); trivial. % 0.67/0.92 apply (zenon_L297_); trivial. % 0.67/0.92 apply (zenon_L310_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L311_); trivial. % 0.67/0.92 apply (zenon_L313_); trivial. % 0.67/0.92 apply (zenon_L316_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L324_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L333_); trivial. % 0.67/0.92 apply (zenon_L334_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L333_); trivial. % 0.67/0.92 apply (zenon_L323_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_L336_); trivial. % 0.67/0.92 apply (zenon_L338_); trivial. % 0.67/0.92 apply (zenon_L182_); trivial. % 0.67/0.92 apply (zenon_L341_); trivial. % 0.67/0.92 apply (zenon_L313_); trivial. % 0.67/0.92 apply (zenon_L316_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L346_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L333_); trivial. % 0.67/0.92 apply (zenon_L345_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Ha. zenon_intro zenon_H372. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a9. zenon_intro zenon_H373. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H2aa. zenon_intro zenon_H2a8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H369 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L353_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L361_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_L365_); trivial. % 0.67/0.92 apply (zenon_L352_); trivial. % 0.67/0.92 apply (zenon_L367_); trivial. % 0.67/0.92 apply (zenon_L148_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L353_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L372_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.92 apply (zenon_L363_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_Ha. zenon_intro zenon_H60. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H43. zenon_intro zenon_H61. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H42. zenon_intro zenon_H44. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hd6 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.67/0.92 apply (zenon_L89_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H15a. zenon_intro zenon_H190. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H29 ]. % 0.67/0.92 apply (zenon_L285_); trivial. % 0.67/0.92 apply (zenon_L375_); trivial. % 0.67/0.92 apply (zenon_L53_); trivial. % 0.67/0.92 apply (zenon_L349_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Hf9. zenon_intro zenon_H111. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_Hfa. zenon_intro zenon_Hf8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H39 | zenon_intro zenon_H5e ]. % 0.67/0.92 apply (zenon_L355_); trivial. % 0.67/0.92 apply (zenon_L376_); trivial. % 0.67/0.92 apply (zenon_L352_); trivial. % 0.67/0.92 apply (zenon_L367_); trivial. % 0.67/0.92 apply (zenon_L148_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L378_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_L380_); trivial. % 0.67/0.92 apply (zenon_L352_); trivial. % 0.67/0.92 apply (zenon_L148_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L383_); trivial. % 0.67/0.92 apply (zenon_L384_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L385_); trivial. % 0.67/0.92 apply (zenon_L384_); trivial. % 0.67/0.92 apply (zenon_L395_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L383_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_L202_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1b | zenon_intro zenon_Hf7 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H222 | zenon_intro zenon_H267 ]. % 0.67/0.92 apply (zenon_L396_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H17d | zenon_intro zenon_H1cf ]. % 0.67/0.92 apply (zenon_L204_); trivial. % 0.67/0.92 exact (zenon_H1ce zenon_H1cf). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hea | zenon_intro zenon_Hf3 ]. % 0.67/0.92 apply (zenon_L157_); trivial. % 0.67/0.92 exact (zenon_Hf2 zenon_Hf3). % 0.67/0.92 apply (zenon_L398_); trivial. % 0.67/0.92 apply (zenon_L395_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L383_); trivial. % 0.67/0.92 apply (zenon_L332_); trivial. % 0.67/0.92 apply (zenon_L399_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H98 | zenon_intro zenon_H1a9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H3d | zenon_intro zenon_H59 ]. % 0.67/0.92 apply (zenon_L325_); trivial. % 0.67/0.92 apply (zenon_L74_); trivial. % 0.67/0.92 apply (zenon_L262_); trivial. % 0.67/0.92 apply (zenon_L400_); trivial. % 0.67/0.92 apply (zenon_L401_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H139. zenon_intro zenon_H1ac. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L163_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L404_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c4 ]. % 0.67/0.92 apply (zenon_L407_); trivial. % 0.67/0.92 apply (zenon_L409_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_L412_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H23f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H31. zenon_intro zenon_H240. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H32. zenon_intro zenon_H30. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.92 apply (zenon_L416_); trivial. % 0.67/0.92 apply (zenon_L342_); trivial. % 0.67/0.92 apply (zenon_L421_); trivial. % 0.67/0.92 apply (zenon_L425_); trivial. % 0.67/0.92 apply (zenon_L103_); trivial. % 0.67/0.92 apply (zenon_L344_); trivial. % 0.67/0.92 apply (zenon_L399_); trivial. % 0.67/0.92 apply (zenon_L431_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L404_); trivial. % 0.67/0.92 apply (zenon_L432_); trivial. % 0.67/0.92 apply (zenon_L434_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Ha. zenon_intro zenon_H370. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H223. zenon_intro zenon_H371. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H5 | zenon_intro zenon_H36a ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L442_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H222 | zenon_intro zenon_H233 ]. % 0.67/0.92 apply (zenon_L170_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H6f ]. % 0.67/0.92 apply (zenon_L136_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H64 | zenon_intro zenon_H26b ]. % 0.67/0.92 apply (zenon_L255_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H195 | zenon_intro zenon_H155 ]. % 0.67/0.92 apply (zenon_L428_); trivial. % 0.67/0.92 exact (zenon_H154 zenon_H155). % 0.67/0.92 apply (zenon_L219_); trivial. % 0.67/0.92 apply (zenon_L444_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L451_); trivial. % 0.67/0.92 apply (zenon_L206_); trivial. % 0.67/0.92 apply (zenon_L220_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L452_); trivial. % 0.67/0.92 apply (zenon_L444_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L442_); trivial. % 0.67/0.92 apply (zenon_L278_); trivial. % 0.67/0.92 apply (zenon_L453_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L451_); trivial. % 0.67/0.92 apply (zenon_L227_); trivial. % 0.67/0.92 apply (zenon_L229_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L452_); trivial. % 0.67/0.92 apply (zenon_L453_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L454_); trivial. % 0.67/0.92 apply (zenon_L219_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha. zenon_intro zenon_H2db. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1ff. zenon_intro zenon_H2dc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L171_); trivial. % 0.67/0.92 apply (zenon_L459_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hab | zenon_intro zenon_H10c ]. % 0.67/0.92 apply (zenon_L85_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hdd. zenon_intro zenon_H10e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Hdb. zenon_intro zenon_Hdc. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3f | zenon_intro zenon_H7d ]. % 0.67/0.92 apply (zenon_L448_); trivial. % 0.67/0.92 apply (zenon_L262_); trivial. % 0.67/0.92 apply (zenon_L283_); trivial. % 0.67/0.92 apply (zenon_L459_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha. zenon_intro zenon_H2d7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1b0. zenon_intro zenon_H2d8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1b1. zenon_intro zenon_H1af. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H3 | zenon_intro zenon_H36b ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L433_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L378_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H79 | zenon_intro zenon_H191 ]. % 0.67/0.92 apply (zenon_L125_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_Ha. zenon_intro zenon_H192. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H9f. zenon_intro zenon_H193. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H9d. zenon_intro zenon_H194. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H1 | zenon_intro zenon_H80 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H24e | zenon_intro zenon_H25b ]. % 0.67/0.92 apply (zenon_L460_); trivial. % 0.67/0.92 apply (zenon_L201_); trivial. % 0.67/0.92 apply (zenon_L461_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H36c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H14b. zenon_intro zenon_H36d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_L433_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_Ha. zenon_intro zenon_H1f3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d7. zenon_intro zenon_H1f4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1d8. zenon_intro zenon_H1d9. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_L378_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_Ha. zenon_intro zenon_H1a3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H197. zenon_intro zenon_H1a4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H1a4). zenon_intro zenon_H198. zenon_intro zenon_H196. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H154 | zenon_intro zenon_H189 ]. % 0.67/0.92 apply (zenon_L454_); trivial. % 0.67/0.92 apply (zenon_L463_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H214. zenon_intro zenon_H36f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H20a. zenon_intro zenon_H209. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H25 | zenon_intro zenon_H2d4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H2d9 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H21f ]. % 0.67/0.92 apply (zenon_L465_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H11a. zenon_intro zenon_H221. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1f2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H144 | zenon_intro zenon_H1a2 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15 | zenon_intro zenon_H23e ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10f ]. % 0.67/0.92 apply (zenon_L314_); trivial. % 0.67/0.92 apply (zenon_L469_); trivial. % 0.67/0.92 apply (zenon_L205_); trivial. % 0.67/0.92 apply (zenon_L313_); trivial. % 0.67/0.92 apply (zenon_L464_); trivial. % 0.67/0.92 apply (zenon_L478_); trivial. % 0.67/0.92 apply (zenon_L434_); trivial. % 0.67/0.92 Qed. % 0.67/0.92 % SZS output end Proof % 0.67/0.92 (* END-PROOF *) % 0.67/0.92 nodes searched: 32775 % 0.67/0.92 max branch formulas: 463 % 0.67/0.92 proof nodes created: 3370 % 0.67/0.92 formulas created: 39322 % 0.67/0.92 %------------------------------------------------------------------------------